Please do not place your response in a .pdf format, but Word documents are okay. Thanks!
A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it which is tied to the ceiling. The cylinder's vertical position as a function of time is y(t).
At time t=0 the cylinder is released from rest at a height h above the ground.
(B) Find the limiting value of v_f, the final vertical velocity of the cylinder in the following limiting cases:
v_f(I=0)--moment of inertia is zero
v_f(I=infinity)--the limit as the moment of inertia approaches infinity.
In both cases assume that the cylinder's mass remains finite.
Separate your responses with commas. If the limit is infinity, write "infinity".
A) Let W1,W2 be the angular velocities and V1 and V2 be the linear velocities, then V2 = r*W2, V1 = r*W1
The solution is given step-by-step.