Assignment:
Question 1. A large Yo-Yo that weighs 50 lb is released from rest. Its moment of inertia, I is 0.24 slug-ft2. How long does it take the center of the Yo-Yo to fall 4 ft? (Assume that the Yo-Yo string remains parallel to the Y-axis).
a. 0.756 sec
b. 0.575 sec
c. 0.685 sec
d. 0.235 sec
e. 0.458 sec
Question 2. The 15 kg slender bar is released from rest in the position shown. At the instant of release, determine the angular acceleration of the bar. Neglect the mass of the rollers and their dimensions.
a. 2.56 rad/s2
b. 2.12 rad/s2
c. 3.16 rad/s2
d. 3.93 rad/s2
e. 4.64 rad/s2
Question 3. The spool G and block B are supported by cables as shown. The block weighs 100 N; the spool weighs 60 N and has a radius of gyration of 3 cm with respect to the mass center, G. It has outer radius R = 4 cm and inner radius r = 2 cm. If the system is released from rest in the position shown, determine the acceleration of the mass center G.
a. 1.33 m/s2
b. 1.97 m/s2
c. 1.65 m/s2
d. 0.97 m/s2
e. 0.79 m/s2