Introduction to **motion** graphs Measuring Quantities Scalar __________________________ (number only) Examples Distance (20 meters) Speed (10 m/s) Mass (30kg) Vector __________________________ Examples/________________ Etc Position graphs just help out with “in which direction?” How to calculate average speed or average velocity from a graph? Find the _________ **of** the line!! + slope= forward (positive direction) - slope = backward (negative direction) v= Δx / Δ t Velocity= Your turn!! Calculate velocities. Label:/

Shoulder Testing **Range** **of** **Motion**, Strength Testing, Special Tests **Range** **of** **Motion** Testing **Motions** tested at the shoulder: Flexion Extension Abduction Adduction Internal Rotation External Rotation **Range** **of** **Motion** Testing Shoulder Flexion & Extension (same goniometer set up) Fulcrum Stationary Arm Moving Arm **Range** **of** **Motion** Testing Shoulder Abduction & Adduction (same goniometer set up) Fulcrum Stationary Arm Moving Arm **Range** **of** **Motion** Testing Shoulder Internal & External /

u 2 sin 2 g = 0 = (tan )s x – s x 2 g 2u 2 cos 2 P.12 Book 2 Section 6.2 General projectile **motion** 2 **Range** and angle **of** projection **Range** (s x ) **of** a trajectory : s x = 2u 2 sin cos g u 2 sin 2 g = It depends on u and : P.13 Book 2 Section 6./ (tan )s x – s x 2 g 2u 2 cos 2 P.31 Book 2 Section 6.2 General projectile **motion** Check-point 3 – Q2 An athlete takes off with 9 m s –1 at an elevation **of** 30 . **Range** **of** the jump = ? **Range** = u 2 sin 2 g = 9 2 sin 2(30 ) 10 = 7.01 m P.32 Book 2 /

clamping area prevents cable damage Cable clamp for increased cable diameter **range**, can be used with multiple sealings eco|mate eco|mate® /up to 600V Same dimensions as the standard eco|mate Single hole mounting Applications -**motion** control -Measuring -Controlling -lighting systems Technical specification - crimp version 3+ PE/Angle Cable Connector F = Right Angle Female Cable Connector C = Male Receptacle G = Female Receptacle Number **of** Contacts 003 = 3 + PE 006 = 6 + PE Retention 00 = Clamping Ring 10 = /

, RF Devices, Factory Automation segments, Opto - Electronics and a lot **of** people more things. Panasonic PIR **Motion** Sensors Detection **Range** : 12 (M ) Parts in Stock : EKMC1603111 EKMC1603112 EKMC1603113 PIR **Motion** Sensors for HVAC - AMNSeries 5M Detection **Range** : AMN31112, AMN31111, AMN21112, AMN2111 2M detection **Range** : AMN32112, AMN32111, AMN22112, AMN22111 10m detection **Range** : AMN34112, AMN34111, AMN24112, AMN24111 Slight **Motion** Detection PIR Sensors Parts # AMN32112 AMN32111 AMN22112 AMN22111 PIR/

incorporating movement into a therapeutic intervention program Full ROM vs Functional ROM Types **of** ROM Exercises Passive **range**-**of**-**motion** exercises PROM Active **range**-**of**-**motion** exercises AROM Active-Assistive **range**-**of**-**motion** exercises AAROM Passive ROM Exercises Movement produced by an external force within the unrestricted **range** **of** **motion** **of** a segment Gravity Machine Therapist or another person Another part **of** the individual’s own body Little to or no muscle contraction elicited ! Minimize/

the value measured on the inductance meter to **range** on print sheet. If not within **range**, notify Supervisor. 9. Compare the value measured on the inductance meter to **range** on print sheet. If not within **range**, notify Supervisor. TITLE: Resistance and Inductance Testing SWI:REVISION:DATE:PAGES:WORK STATION: Resistance-InductanceA1/1/2014# **OF** 103015 Technology in **Motion** STANDARD WORK INSTRUCTION Safety Requirements:Safety glasses In/

distribution has changed between measurements In the absence **of** a boundary – usually sets the **range** We also return a profile **of** Correlations to match with the RSSI and velocity profiles. To make our velocity measurements we are essentially comparing how much the distribution **of** particles reflecting our sound back has changed in a given time. Most **of** that **motion** is presumably going to be in one/

. This form **of** two-dimensional **motion** we will deal with is called projectile **motion**. Section 4.3 Assumptions **of** Projectile **Motion** The free-fall acceleration is constant over the **range** **of** **motion**. It is directed downward. This is the same as assuming a flat Earth over the **range** **of** the **motion**. It is reasonable as long as the **range** is small compared to the radius **of** the Earth. The effect **of** air friction is/

drawbacks + Less straining for patient than breath-hold Increased treatment time Internal markers Direct visualization **of** tumor (surroundings) Invasive procedure / side effects **of** surgery External markers Limited burden for patient Doubtful correlation between marker and tumor position Intra-fractional Inter-fractional - + - + - **Motion** in charged particle therapy T. Bortfeld **Range** sensitivity Spherical tumor in lung Paralell opposed - photons Single field - photons Single field - protons Displayed/

or position tracking problems; considering a robot endowed with odometry and using, as exteroceptive measurements, either sonar/laser readings (**range** finder) **range** to a set **of** landmarks. Examples Simulation data **Motion** model (in the simulation we consider a synchro drive system): with: Measurement model (**range** measurements): with: case: 0.01 m for x and y and 0.02 rad for q Examples Simulation Data We/

a t 2 breaks down to d = v t. 80 m/s 1.5 m Projectiles Fired at an Angle Now let’s find **range** **of** a projectile fired with speed v0 at an angle . Step 1: Split the initial velocity vector into components. v0 v0 sin v0 /radial (along the radius). Resultant Acceleration The overall acceleration is the vector sum **of** the centripetal acceleration and the tangential acceleration. That is, a = ac + at This is true regardless **of** the direction **of** **motion**. It holds true even when an object is not moving in a perfect/

launched projectile gets the maximum height? What angle **of** a launched projectile gets the maximum **range**? 90o 45o Projectile **Motion** at Various Initial Angles Complementary values **of** the initial angle result in the same **range** The heights will be different The maximum **range** occurs at a projection angle **of** 45o Non-Symmetrical Projectile **Motion** Follow the general rules for projectile **motion** Break the y-direction into parts up and/

. The form **of** two-dimensional **motion** we will deal with is called projectile **motion**. Section 4.3 Assumptions **of** Projectile **Motion** The free-fall acceleration is constant over the **range** **of** **motion**. It is directed downward. This is the same as assuming a flat Earth over the **range** **of** the **motion**. It is reasonable as long as the **range** is small compared to the radius **of** the Earth. The effect **of** air friction is/

the initial speed v0. c) The **range** is independent **of** the angle. d) The **range** is only dependent on the angle. e) The **range** is dependent on both the initial speed v0 and the angle. 4.5.5. Complete the following statement: In projectile **motion**, a) the horizontal **motion** depends on the vertical **motion**. b) the vertical **motion** depends on the horizontal **motion**. c) the horizontal acceleration depends on/

/ g = u 2 sin 2 /g **range** 8 Maximum **Range** **range** **Range** = 2 u 2 sin cos / g = u 2 sin 2 /g Maximum **range** = u 2 /g when sin 2 = 1 i.e. 2 = 90 o = 45 o 9 Summary Vertical **motion**: y = ut sin – ½ gt 2 Horizontal **motion**: x = ut cos Time **of** flight: Put y = 0 ⇒ t = 2usin / g **Range**: Put t = 2u sin / g ⇒ x/

need to digitize the records. Dr. Sinan Akkar Strong Ground **Motion** Parameters – Data Processing 16USGS - DAVID BOORE Sensitivity The sensitivity **of** seismometers to ground **motion** depends on the frequency **of** the **motion**. The variation **of** sensitivity with frequency is known as the instrument response **of** a seismometer. The amplitude and frequency **range** **of** seismic signals is very large. The smallest **motion** **of** interest is limited by the ground noise. The smallest/

proton therapy, scanning and IMPT will become more widespread in the next years (c.f. MD Anderson) To what extent can scattering be improved through the use **of** automated field hardware (MLC’s etc)? **Range** uncertainty and organ **motion** (particularly for scanning) remain the main challenges to proton therapy and much interesting and exciting work is still to be done in organ management/

**of** the **motion** to the y part **of** the **motion**? a) The x part **of** the **motion** is independent **of** the y part **of** the **motion**. b) The y part **of** the **motion** goes as the square **of** the x part **of** the **motion**. c) The x part **of** the **motion** is linearly dependent on the y part **of** the **motion**. d) The x part **of** the **motion** goes as the square **of** the y part **of** the **motion**/. If football B is kicked at the same angle, but with a speed 2v, what is the ratio **of** the **range** **of** B to the **range** **of** A? a) 1 b) 2 c) 3 d) 4 e) 9 4. 6. 6. Balls /

Projectiles Launched at an Angle Height For the component vectors **of** the cannonball’s **motion**, the horizontal component is always the same and only the vertical component changes. At the top **of** the path the vertical component shrinks to zero, so the/above the ground. They also travel different horizontal distances, that is, they have different horizontal **ranges**. 5.6 Projectiles Launched at an Angle The paths **of** projectiles launched at the same speed but at different angles. The paths neglect air resistance. 5/

Exercises 1- RELAXED PASSIVE MOVEMENT Definition: These are movements performed accurately, rhythmical and smoothly by the physiotherapist through available **range** **of** **motion**( according to anatomy **of** joints) . The joint is moved through the free **range** and within the limits **of** pain. II- Forced passive movement Definition An exercise performed on a subject by a partner who exerts an external force not only to produce a passive/

the angle, the shorter the horizontal **range**. Maximum **range** is usually attained at an angle **of** 450. Speed The cases **of** projectile **motion** mentioned in class assume air resistance is/**range** **of** the projectile is diminished and the path is not a true parabola. Speed Also, the projectile **motion** discussed in class has been “short-**range**” projectile **motion**. For this **motion**, we assume the ground is flat - the curvature **of** the Earth’s surface has no effect on the **motion**. For “long-**range**” projectiles, the curvature **of**/

throughout life. As children, we are naturally flexible, but as we age, flexibility tends to decrease. Disuse, injury, excessive body fat, and muscle imbalances are common factors in this loss **of** **range** **of** **motion**. You can maintain youthful flexibility by incorporating stretching into your regular workouts. The flexibility exercises in this section are grouped as follows: a basic fitness flexibility program with exercises for/

PATIENTS SYMPTOMS. EXAMINATION WHEN OVERPRESSURE IS APPLIED, YOU ARE ESSENTIALLY DOING PASSIVE **RANGE** **OF** **MOTION** AT THE END **RANGE**. A MORE FORMAL PASSIVE **RANGE** **OF** **MOTION** TESTING IS NOT NEEDED. Examination Repeat each active, passive or resisted isometric movement/ consultation with another health care provider. APTA Guide to Practice Capsular Patterns Pattern **of** limitation or restriction **of** movement noted during **range** **of** **motion** testing. Specific for each joint. Non-Capsular patterns: There can be limitations /

you have learned about movement at a joint, match the action with the correct **range** **of** **motion** picture. Each pair **of** pictures shows the placement **of** the goniometer at the beginning and end **of** the **motion**. Remember, you are measuring the **range** – how far the limb progresses at the joint while performing a specific **motion**. NOTE: Three actions do NOT have a corresponding photograph. Later, you will be responsible/

September 22, 2010 PHYS16 – Lecture 7 Projectile **Motion**: Physics **of** Baseball September 22, 2010 Key Concepts: Physics 2D **Motion** Constant acceleration Independent in x and y Relative **Motion** Projectile **Motion** Definition Solving problems using kinematic equations Max **range** and height Projectile **Motion** Projectile = a propelled object that travels through the air Projectile **motion** or not? Throw up (Yes), throw straight out (Yes), Roll on ground (No) http://www/

directions simultaneously The form **of** two-dimensional **motion** we will deal with is called projectile **motion** Assumptions **of** Projectile **Motion** The free-fall acceleration is constant over the **range** **of** **motion** It is directed downward This is the same as assuming a flat Earth over the **range** **of** the **motion** It is reasonable as long as the **range** is small compared to the radius **of** the Earth The effect **of** air friction is negligible/

when axis is midway between force & resistance (e.g., seesaw) Produce speed & **range** **of** **motion** when axis is close to force, (triceps in elbow extension) Produce force **motion** when axis is close to resistance (crowbar) Modified from Hall SJ: Basic biomechanics, ed/-Hill Higher Education. All rights reserved Wheels and axles Used primarily to enhance **range** **of** **motion** & speed **of** movement in the musculoskeletal system function essentially as a form **of** a lever When either the wheel or axle turn, the other must turn/

performance) Force - push, pull that change state **of** rest or **motion** **of** a body, F = m x a Types **of** forces, effects **of** forces, impulse (**range** **of** **motion**) Newtons Three Laws **of** **Motion** Law **of** Inertia, Law Acceleration and Action/Reaction. Force Summation sequential acceleration **of** body segments, timing **of** body parts and **range** **of** **motion** and stretching out. Biomechanics Summary **Motion** Linear, Angular and General **motion**, Measuring **Motion** – equations. Projectile **Motion** Forces acting = propelling force, gravity, air/

helps you detect Movement, Speed and using time factor the distance covered in a **motion** in three directions Input Devices-Orientation- Tilt Sensor The Parallax Memsic 2125 is a low cost, dual-axis thermal accelerometer capable **of** measuring tilt, acceleration, rotation, and vibration with a **range** **of** ±3 g. Key Features **of** the Memsic 2125: Measure 0 to ±3 g on either axis Fully temperature/

, H., (2002) Turning to the Masters: **Motion** Capturing Cartoons, Proceedings **of** ACM Siggraph 2002 pp 399 – 407. vicon.com, inition.co.uk, polhemus.com, wikipedia.org, animazoo.com, hollywoodjesus.com vicon.com, inition.co.uk, polhemus.com, wikipedia.org, animazoo.com, hollywoodjesus.com Bonus Slides Stuff that’s too cool for you! Stats Input DeviceFrame Rate **Range** (hz) Position Accuracy Orientation Accuracy Latency/

The close-packed position for these joints is supination The open-packed position is midway between extremes **of** **range** **of** **motion** Biomechanics Metatarsophalangeal Joints The MTP joints have two degrees **of** freedom: flexion/extension and abduction/adduction. **Range** **of** **motion** **of** these joint is variable, **ranging** from 40° to 100° dorsiflexion (with a mean **of** 84°), 3° to 43° (mean, 23°) plantar flexion, and 5° to 20° varus and valgus The/

direction: projectile is free falling. V oy = 0 Acceleration = g = 10 m/sec 2 ↓ V = gt ↓ d = ½ gt 2 Projectile **motion** lab: part 1 Part 1: determine the velocity Vo **of** the projectile. Projectile: - fired horizontally from height h. - follows parabolic path - **Range** R is where projectile hits the floor. Equations: in y direction Voy = 0 g = constant acceleration distance h = ½ gt 2/

Synthetic Aperture Radar Interferometry PRESUMMING FORMULATION J Synthetic Aperture Radar Interferometry **MOTION** COMPENSATION l **Motion** compensation **of** radar data is required for accurate airborne interferometers l Uncompensated **motion** errors lead to image defocusing and mis- registration, reducing interferometric correlation and height acuity l **Motion** compensation consists **of** adjusting the **range** and phase **of** each image sample to seem as though the imaging positions lie on the reference track/

birds are not projectiles, because they are affected by forces generated from their own power. Projectile **motion** The path a projectile follows is called its trajectory. The trajectory **of** a projectile is a special type **of** arch- or bowl-shaped curve called a parabola. Trajectory and **range** The **range** **of** a projectile is the horizontal distance it travels in the air before touching the ground. A/

servo motors *Uses standard AC drive components and accessories *Accepts 25 most common RSLogix5000 **motion** commands. 18 Copyright © 2005 Rockwell Automation, Inc. All rights reserved. So why would I do **motion** control with a drive? *Commonality **of** parts and training *Low to high HP **ranges** 1/2HP to 1250HP *Broad **range** **of** input voltage from single phase to 690V *Affords best fit for motor, gear and/

tissue mobility 2- Maintain the physiological properties **of** the muscle (extensibility, elasticity, etc.) and minimize the formation **of** contracture. 3- assist circulation and enhance synovial movement and diffusion **of** materials in the joint 4- Maintain **range** **of** **motion** and prevent formation **of** adhesions 5- Maintain the patients awareness **of** movements by stimulating the kinaesthetic receptors. 6- Decrease or inhibit pain Limitations **of** PROM Passive ROM will not: 1- Prevent/

internal rotation, 50 degrees **of** external rotation. Knee **range** **of** **motion** flexion and extension arc **of** **motion** which totals 135 to 145 degrees. Ankle **range** **of** **motion** includes 50 degrees **of** plantar-flexion, or toes pointing toward the ground, 20 degrees **of** dorsi-flexion with the toes pointing toward head 20 degrees **of** inversion and 5 degrees **of** eversion. Types **of** **Range** **of** **Motion** There are three primary types **of** exercises specific to **range** **of** **motion**. Passive **range** **of** **motion** is typically practiced on/

**of** **motion** is always subjected to acceleration due to gravity. k25 DEFINITIONS: Velocity **of** Projection is the velocity with which a body is projected into space. Angle **of** projection is the angle which the initial velocity vector makes with the horizontal, or the angle at which a projectile is projected with respect to horizontal. **Range**/ height attained (h): v y 2 - u y 2 =- 2gh (upward **motion**) v y = 0 h = u y 2 /2g ; h = u 2 (Sin 2 ) / 2g **Range**: R= u x x T (time **of** flight) = 2u 2( Sin Cos ) / g R = u/

after the ball is shot upwards. Name: Ball on a String Category: Mechanics Subcategory: 2-D **Motion** S Name: **Range** **of** a Projectile Category: Mechanics Subcategory: 2-D **Motion** Classes: Comments: Use the PASCO projectile launcher to fire a small plastic ball. If the starting and/ ending heights are the same, the **range** **of** the projectile is 2v*sin(2 )/g. S Name: The Monkey and the Hunter Category: Mechanics Subcategory: 2-D **Motion** Classes: Comments: The blow gun is a long metal tube with/

1/2 gt 2 b. How far does car travel horizontally after driving off the cliff? Use d=Vt Now let’s find **range** **of** a projectile fired with speed v i at an angle . Step 1: Split the initial velocity vector into components. Projectiles Fired / Here all launch speeds are the same; only the angle varies. 38 76 proof on next slide Do the handout side on projectile **motion** **Range** Formula & Max **Range** at 45 First find the time. Note that y = 0, since the projectile starts and stops at ground level (no change). /

Fast Algorithm: 3-Step Search Search candidates at 8 neighbor positions Step-size cut down by 2 after each iteration –Start with step size approx. half **of** max. search **range** **motion** vector {dx, dy} = {1, 6} Total number **of** computations: 9 + 8 2 = 25 (3-step) (2R+1) 2 = 169 (full search) (Fig. from Ken Lam – HK Poly Univ. short course in summer’2001/

Detector: On/ off switch LED Contact Plate ( 2.5 X 2.5)SI Part 3 : **Motion** Detector: On/Off switch KC778B (20 pin DIP) Voltage regulator 78L05 Fresnel Lens with diameter **of** 1/2 an inch Detection **range**: 3m- 4 m. View Field is 125 degree 3 Controllers: **Motion** sensitivity control PIR Time Control (time Adjustment) from 1.5 sec to 15 sec. Daylight/

directions simultaneously The form **of** two-dimensional **motion** we will deal with is called projectile **motion** Assumptions **of** Projectile **Motion** The free-fall acceleration is constant over the **range** **of** **motion** It is directed downward This is the same as assuming a flat Earth over the **range** **of** the **motion** It is reasonable as long as the **range** is small compared to the radius **of** the Earth The effect **of** air friction is negligible/

a ball, it accelerates downward covering a greater distance each second. c.x & y components are completely independent **of** each other. 3.4 Projectile **Motion** Projectile **motion** is separated into components. a.Roll a ball horizontally, v is constant, b/c no acceleration from g /– v down t total = (2) t up more angle: -more initial v y, more height -less initial v x, less **range** height **range** 1.Without air resistance, the time for a vertically tossed ball to return to where it was thrown is … A.10 m/s for/

from a cliff that is 35 m high. Find time **of** flight, t = ? Find **range**, d x = ? Find final velocity, v f = ? V x = 5 m/s height d y =35 m **Range**, d x Since we know more values for vertical **motion**, let’s use it to find time. Start with the/ to find time for this problem. You may use any **of** them you wish. vivi θ V y top = 0 VyVy VxVx d ymax =height **Range**, dx Find time – Method 2: Use vertical **motion** and symmetry. Remember that the y component **of** initial and final velocities are equal and opposite. So using the/

all projectiles… Hint: You should always list your known values at the beginning **of** any problem and assign those values variables. vxvx vxvx height dydy **Range**, d x Remember to keep the horizontal and vertical **motions** separate. Time is the same for both directions. The time to fall / y =26 m/s v y =-26 m/s A football is kicked from the ground with a speed **of** 30m/s at and angle **of** 60°. Find time **of** flight, **range**, and maximum height. v x =15 m/s Vertical displacement is not zero. Consider the launch point as /

or ask the nurse which residents need help with ROM exercises. Active **range** **of** **motion** The person does the exercise independently Assisted **range** **of** **motion** The person does the exercise with partial assistance Passive **range** **of** **motion** Someone else moves the extremity without the person’s assistance Copyright © 2010 Delmar, Cengage Learning. All rights reserved. May 2010 **Range** **of** **motion** 7 Tips for helping with ROM exercises Be gentle Watch for signs/

1443-004, Fall 2014 Dr. Jaehoon Yu 1 PHYS 1443 – Section 004 Lecture #6 Thursday, Sept. 11, 2014 Dr. Jaehoon Yu **Motion** in two dimensions Projectile **Motion** Maximum **range** and height Newton’s Laws **of** **Motion** Mass Newton’s second law **of** **motion** Newton’s third law **of** **motion** Today’s homework is homework #4, due 11pm, Thursday, Sept. 18!! Thursday, Sept. 11, 2014PHYS 1443-004, Fall 2014 Dr/

in both the x and y directions simultaneously The form **of** two-dimensional **motion** we will deal with is called projectile **motion** Assumptions **of** Projectile **Motion** The free-fall acceleration is constant over the **range** **of** **motion** It is directed downward It is reasonable as long as the **range** is small compared to the radius **of** the Earth The effect **of** air friction is negligible With these assumptions, an object in/

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