A 5.0 kg, 58-cm-diameter cylinder rotates on an axle passing through one edge. T

Question

A 5.0 kg, 58-cm-diameter cylinder rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released.(Figure 1)

Part A A 5.0 kg, 58-cm-diameter cylinder rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released. (Figure What is the magnitude of the cylinder's initial angular acceleration? Express your answer to two significant figures and include the appropriate units. 1) Figure 1 of! aValue Units Submit My Answers Give Up Part B What is the magnitude of the cylinder's angular velocity when it is directly below the axle? Express your answer to two significant figures and include the appropriate units. Axle wVaue Units Submit My Answers Give Up

Explanation / Answer

Given :- m = 5kg

r = 0.29m

U = mgh

= mgR

= Krot

= .5I^2

= 3mR^2*^2/4
= sqrt[4g/(3R)]

= sqrt[4*9.8/(3*0.29)]

= 6.71 rad/s

Angular acceleration = w^2*r

13.056 rad/s^2

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