Question

A 1.50 kg hoop of radius 0.200 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 m above the ground. The hoop rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The hoop then rises to its maximum height h_max at point C.

HINT

1.90 m

0.450 m

(a)

At point B, find the hoop's translational speed v_B (in m/s).

m/s

(b)

At point B, find the hoop's rotational speed ω_B (in rad/s).

rad/s

(c)

At point C, find the hoop's rotational speed ω_C (in rad/s).

rad/s

(d)

At point C, find the maximum height h_max of the hoop's center of gravity (in m).

Answer 1