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READING QUIZ
Torque primarily depends on:
•angular acceleration.•angular velocity.•angular mass.
Rotational Inertia
The resistance to change in rotational motion.
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τ =Iα
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I = mr2
Moment of Inertia = Mass x distance from axis squared
Torque = Moment of inertia x angular acceleration
Figure 8.15Expressions for the rotational inertia of
several objects, each with a uniform distribution of mass over its volume. The letter m is used to
represent the total mass of the object.
Physics of Angular Motion
If the total torque on an object is zero, then it does not rotate, or it rotates at a constant angular velocity.
Physics of Linear MotionIf the total force on an object is zero, then it does not move, or it is in linear motion with constant velocity
CONCEPT Linear Motion Rotational
Inertia m I
Second Law F=ma τ
Momentum P=mv L=I
conservation P=constant,
if F=0.
L=constant,
if τKinetic energy KE=1/2mv2 KE=1/
Fig. 8.16
Physics of Angular Motion
If the net torque on a system is zero, the total angular momentum of the system is conserved.
L=I
L = vectorI = Tensor = vector
Fig. 8.17
Fig. 8.18
Fig. 8.20
Rotational velocity is a vector. Use the right hand rule to find the direction…..
Fig. 8.24