8.2 Rotational Dynamics How do you get a ruler to spin on the end of a pencil? Apply a force perpendicular to the ruler. The ruler is the lever arm How.

Slides:

Advertisements

Similar presentations

Angular Quantities Correspondence between linear and rotational quantities:

Advertisements

Chapter 9 Objectives Calculate the torque created by a force.

It will accelerate in a spin!

Rotational Equilibrium and Dynamics

Foundations of Physics

Chapter 9: Torque and Rotation

Torque, & Rotational Equilibrium

Chapter 9 Rotational Dynamics.

Torque Rotational Motion. Torque  Forces that cause objects to rotate  Two Characteristics that contribute to the effectiveness of torque: Magnitude.

 orque  orque  orque  orque  orque  orque  orque  orque  orque Chapter 10 Rotational Motion 10-4 Torque 10-5 Rotational Dynamics; Torque and Rotational.

Warm Up Ch. 9 & 10 1.What is the relationship between period and frequency? (define and include formulas) 2.If an object rotates at 0.5 Hz. What is the.

Rotational Dynamics Chapter 9.

Ch. 11 Rotational Mechanics Torque. TORQUE n Produced when a force is applied with leverage. n Force produces acceleration. n Torque produces rotation.

8-4 Torque The cause of circular motion is often torque. Torque is the product of the component of force perpendicular to the lever arm or moment arm.

Rotational Motion - refers to motion of a body about a fixed axis of rotation wherein, the particles have the same instantaneous angular velocity.

Objectives  Know the definition of torque  Know that torque is directly proportional to the magnitude of the force and the perpendicular distance.

Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration.

Phy 211: General Physics I Chapter 10: Rotation Lecture Notes.

Chapter 8 Rotational Equilibrium and Rotational Dynamics.

Rotational Dynamics. Moment of Inertia The angular acceleration of a rotating rigid body is proportional to the net applied torque:  is inversely proportional.

 Torque: the ability of a force to cause a body to rotate about a particular axis.  Torque is also written as: Fl = Flsin = F l  Torque= force x.

Chapter 9: Rotational Dynamics

Newton’s Second Law for Rotation Examples 1.The massive shield door at the Lawrence Livermore Laboratory is the world’s heaviest hinged door. The door.

Objectives  Describe torque and the factors that determine it.  Calculate net torque.  Calculate the moment of inertia.

Rotational Motion. Deg, Rad, Grad There are 360 degrees in one rotation of a circe. There are 2π radians in one rotation of a circle. There are 400 gradians.

Angular Kinetics After reading this chapter, the student should be able to: Define torque and discuss the characteristics of a torque. State the angular.

Rotational Motion Chapter 6, 8 and 9. Acceleration in a Circle  Acceleration occurs when velocity changes  This means either speed OR direction changes.

Motion and Forces in 2 and 3 Dimensions Torque and Rotation.

Chapter 11: Rotational Dynamics  As we did for linear (or translational) motion, we studied kinematics (motion without regard to the cause) and then dynamics.

Joint Reaction Forces Muscle Moments Joint Power

Chapter 11 Rotational Mechanics. Recall: If you want an object to move, you apply a FORCE.

Newton’s 2 nd Law for Rotation Post-Lab Since the graph is linear and contains (0,0) Slope.

Mrs. Wharton’s Science Class. Newton’s 1 st Law of Motion States that an object at rest will stay at rest, and an object in motion will stay in motion.

Kristyna Partain, Chris Engler, Risa Thompson, Stuart Goldberg 3B-Physics.

Bellringer: What would be the net acceleration of a 15 g toy car down a 30 degree incline if the acceleration due to friction is 1.8 m/s 2 ? Include a.

Rotational Motion Kelly Johnson, Ashley Webster, Tait Woodward, Sarah Martin, Sara Chiochetti, Jessica Kellenbenz The KATS 3A.

Chapter 9 Rotational Dynamics

Rotational Motion Emily Burns Molly McGeady Hung Nguyen.

acac vtvt acac vtvt Where “r” is the radius of the circular path. Centripetal force acts on an object in a circular path, and is directed toward the.

NEWTON’S 2 ND LAW OF MOTION By: Per.7. WHAT IS IT? Newton's second law Of Motion Newton's second law Of Motion can be formally stated as follows: The.

Translational-Rotational Analogues & Connections Continue! Translation Rotation Displacementx θ Velocityvω Accelerationaα Force (Torque)Fτ Massm? CONNECTIONS.

Rotational Motion AP Physics C. Definitions and Formulas.

Rotational Dynamics Rode, Kiana, Tiana, and Celina.

 orque  orque  orque  orque  orque  orque  orque  orque  orque Chapter 10 Rotational Motion 10-4 Torque 10-5 Rotational Dynamics; Torque and Rotational.

Rotational Motion AP Physics C. Introduction The motion of a rigid body (an object with a definite shape that does not change) can be analyzed as the.

Pgs Chapter 8 Rotational Equilibrium and Dynamics.

Rotational Equilibrium and Dynamics Russ Ballard Kentlake Science Department.

UNIT 6 Rotational Motion & Angular Momentum Rotational Dynamics, Inertia and Newton’s 2 nd Law for Rotation.

ROTATIONAL DYNAMICS. ROTATIONAL DYNAMICS AND MOMENT OF INERTIA  A Force applied to an object can cause it to rotate.  Lets assume the F is applied at.

TORQUE A torque is an action that causes objects to rotate. Torque is not the same thing as force. For rotational motion, the torque is what is most directly.

Ch 8 : Rotational Motion .

CONCEPTUAL PHYSICS Rotational Mechanics.

Rotational Motion Rotational Inertia – inertia is how an object resists changing its motion so rotational inertia is how much an object resists changing.

PHY 131 Chapter 8-Part 1.

Rotational Inertia and Torque

Momentum principle The change in momentum of a body is equal to the net force acting on the body times (乘) the duration of the interaction.

Foundations of Physics

Rotational Motion: Torque, Angular Inertia and Newton’s Laws

Objectives Calculate the torque created by a force.

Rotational Dynamics Torque and Angular Acceleration

8-1 Angular Quantities In purely rotational motion, all points on the object move in circles around the axis of rotation (“O”). The radius of the circle.

Chapter 8 Rotational Motion.

Aim: How do we explain torque?

Rotational Dynamics.

Dynamics of Rotational Motion

9.1 Torque Key Question: How does force create rotation?

Presentation transcript:

8.2 Rotational Dynamics How do you get a ruler to spin on the end of a pencil? Apply a force perpendicular to the ruler. The ruler is the lever arm How do you move a door?

Torque Magnitude of the torque, , is the product of the force and the length of the lever arm. The force and lever arm must be perpendicular to each other. Units of N. m

The Moment of Inertia The placement of the mass makes a difference in the rotation of an object. If the mass is located in the center or at the edges. The resistance to rotational motion is called the moment of inertia, I. Moment of Inertia of a point mass, I=mr 2

Moments of Inertia is different for different shapes and different points of axis.

Newton’s 2 nd Law for Rotational Motion Angular acceleration is directly proportional to the net torque and inversely proportional to the moment of inertia.