Answer Happy

13. (20 points) A hovering bug of mass m = 0.07 kg drops from above and lands on the rim of a turntable of mass M = 0.01 kg and radius R = 0.05 m rotating with an angular speed of 0.25 rad/s as shown in Figure 10(A). The system in this problem refers to bug and the turntable (viewed as a disk of radius 0.05 m). Ignore all frictional effects. Include units in all your numerical responses!! m = 0.07 kg M = 0.01 kg R-0.05 m w₁ = 0.25 rad/s (A) Wy = ? (B) Figure 10 Before the bug lands on the turntable [refer Figure 10(A)], W₂ = ? (C)

(A) what is the moment of inertia of the system? (include units!)

(B) what is the angular momentum of the system? (include units!)

After the bug drops down at the rim of the turntable [refer Figure 10(B)], (c) what is the moment of inertia of the system?

(d) what is the angular speed (₁) of the system?

Now suppose the bug crawls toward the center of the turntable as shown in refer Figure 10(C), (e) What is the moment of inertia of the system when the bug reaches the center?

(f) What is the angular speed (2) of the system when the bug reaches the center?