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Center of Mass
Consider motion of object as if all mass located at C of G.
Center of Gravity – Average position of weight Average position of mass Center of Mass –
C of M does not have to be on the object.
Locating Center of Gravity
Center of Gravity = Balance Point
m1m1 m2m2 m3m3 m4m4 A Στ A = m 1 gx 1 + m 2 gx 2 + m 3 gx 3 + m 4 gx 4 CM (m 1 +m 2 +m 3 +m 4 ) Στ A = (m 1 + m 2 + m 3 + m 4 )g x CM A
m 1 gx 1 + m 2 gx 2 + m 3 gx 3 + m 4 gx 4 (m 1 + m 2 + m 3 + m 4 )g x CM = m 1 x 1 + m 2 x 2 + m 3 x 3 + m 4 x 4 + … x CM = --------------------------------- m 1 + m 2 + m 3 + m 4 + …
Calculating CM 2- dimensions Platform: 6.0 m x 6.0 m 100. kg 500. kg masses @ 3 corners CM?
Toppling Object is stable if its CG is above its base of support.
More stability if CG is low and base of support is wide.
Calculating Angle of Stability θ h b θ tan θ = h/bθ = tan -1 (h/b)
5.0 cm 8.0 cm To what angle can the block tip before it topples over? 58º
If CG is underneath base of support, object remains stable.
Center of Mass AP Physics C Mrs. Coyle. Center of Mass The point of an object at which all the mass of the object is thought to be concentrated. Average.
Center of Mass Definition “The center of mass (or mass center) is the mean location of all the mass in a system” Marked with:
Chapter 10 Center of Gravity Center of Gravity Center of Gravity – (CG) the point at the center of its weight distribution.
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Center of Gravity. Center of Gravity(CG): point located at the center of an object’s weight distribution. For symmetric object, it is located at geometric.
Force Due to Gravity. What’s the difference between Mass and Weight? Mass (m) is the amount of material an object is made from. Also, mass is the.
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Warm Up What is the tension in a 2.75 m cord that whirls a 5.6 kg object in a circular path at a speed of 4.83 m/s?
Pulleys at an Angle. FBD-S m 1 = 100 kg m 2 = 300 kg 30° vivi 0 t10 s θ30° µ0 m1m1 100 kg m2m2 300 kg No Friction.
CG CM Center of Mass The Center of Mass (CM) of an object or objects is the point that moves as if all of the mass were concentrated there and all the.
By: Brandon Chabala & Kyle Hahn. Point at the center of an object’s weight distribution, where the force of gravity can be considered to act All shapes.
Find the tension T in each cable and the magnitude and direction of the force exerted on the strut by the pivot in each of the arrangements in Fig. below.
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Center of Gravity Unit 6. Center of gravity- the point on an object located at the object’s average position of weight Symmetrical object (baseball)-
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Momentum is a Momentum vectors Impulse Defined as a Impulse is.
12/25/20151FORCE BY DR AJAY KUMAR DAVV INDORE. 12/25/20152 Meaning& Nature of Force Force produces motion, stops motion and prevent motion. It may increase.
Where is the center or mass of a wrench? Center-of-Mass A mechanical system moves as if all of its mass were concentrated at this point A very special.
Center of Gravity.
Foundations of Physics
Physics Subject Area Test
ROTATION AND INERTIA Chapter 8 Section 2. Center of Mass Center of Mass – The point at which all the mass of the body can be considered to the concentrated.
Example 8.1 The uniform crate has a mass of 20kg. If a force
1© Manhattan Press (H.K.) Ltd. 1.7 Stability 2 © Manhattan Press (H.K.) Ltd. Stability 1.7 Stability (SB p. 75) What makes objects more stable than others?
BA A = turning point B = position of 3 rd wheel/trace, mid way along beam C= possible counterweight position, above 3 rd wheel/trace C 0.87m Beams 0.9t.
Circular Motion / Rotational Mechanics Notes 5’s.
Project. Lesson #65 Topic: Center of Mass / Gravity Objectives: (After this class I will be able to) 1. Define center of gravity / mass 2. Locate an object’s.
Torque and Center of Mass
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COMPOSITE BODIES (Section 9.3) Today’s Objective: Students will be able to determine the location of the center of gravity, center of mass, or centroid.
Physics 203 – College Physics I Department of Physics – The Citadel Physics 203 College Physics I Fall 2012 S. A. Yost Chapter 8 Part 3 Chapter 9 Angular.
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Centre of Mass Created by J Harris
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Newton’s First & Second Law
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Physics 111 Practice Problem Statements 12 Static Equilibrium SJ 8th Ed.: Chap 12.1 – 12.3 Contents 13-5, 13-7, 13-17*, 13-19*, 13-20, 13-23, 13-25, 13-28*,
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Bell Ringer In terms of energy, what happens to the energy of an object in free-fall?
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