Assignment:
Question 1. The slender bar with a mass of 4 kg is released from rest at an angle of 35 degrees. What is the angular velocity of the bar when it is vertical?
a. 0.667 rad/s
b. 1.06 rad/s
c. 0.888 rad/s
d. 1.74 rad/s
e. 2.31 rad/s
Question 2. The stepped disk weighs 50 lb and its mass moment of inertia about its center is I = 0.4 slug-ft2. If it is released from rest, determine its angular velocity when it falls 3 ft. The rope does not stretch.
a. 22.9 rad/s
b. 10.2 rad/s
c. 8.20 rad/s
d. 32.2 rad/s
e. 15.7 rad/s
Question 3. An assembly consists of two 15-lb slender rods and a 20-lb disk. The spring is unstretched when θ = 45° and the assembly is released from rest at this position. The disk rolls without slipping. Determine the angular velocity of rod AB at the instant θ = 0.
a. 3.89 rad/s
b. 3.65 rad/s
c. 3.12 rad/s
d. 2.69 rad/s
e. 4.28 rad/s