Rotational Dynamics

1
Rotational Dynamics

• Torque and Angular Acceleration
• Rotational Kinetic Energy
• Angular Momentum

2
Torque and Angular Acceleration

• Apply _______ __ ____

• Multiply by r

• Left side is _________

Fig. 8.14, p. 240
3
Torque and Angular Acceleration

• Think of extended masses being made up of many
  point masses
• Net torque is _____ of torques on point masses

Fig. 8.15, p. 240
4
Moment of Inertia

• Moment of Inertia depends on
• mass _________
• axis of ________

5
Rotational Kinetic Energy

• By analogy to ______________ kinetic energy
• ? replace m with I and v with ?

Fig. 8.24, p. 247
Proof
6
Angular Momentum

• Rotational ______ of translational momentum
• ____________ like translational momentum