Rotational Kinematics and Dynamics

Question 1

Torque

Answer 1

T = F x r = rF sin (theta) = I (alpha)

Question 1

Rolling without slipping conditions

Answer 1

x = r(theta), v = r(omega), a = r(alpha)

Question 2

Angular Momentum

Answer 2

L = I omega

Question 3

Angular Kinetic Energy

Answer 3

(1/2)(I)(omega^2)

Question 4

Equilibrium

Answer 4

Occurs when net force and net torque are both zero

Question 5

Rotational Work

Answer 5

W = T * theta

Question 6

Rotational Power

Answer 6

P = T * omega (for constant torque)