Question

In: Physics

A cylindrical rod 25.0 cm long with a mass of 1.20 kg and a radius of...

A cylindrical rod 25.0 cm long with a mass of 1.20 kg and a radius of 1.50 cm has a ball of diameter of 7.90 cm and a mass of 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top. The apparatus is free to pivot about the bottom end of the rod.

(a) After it falls through 90°, what is its rotational kinetic energy?
J
(b) What is the angular speed of the rod and ball?
rad/s
(c) What is the linear speed of the ball?
m/s
(d) How does this compare with the speed if the ball had fallen freely through the same distance of 29.0 cm?
vswing is  ---Select--- greater than less than vfall by  %

Solutions

Expert Solution

Mass of rod , length of rod and radius of rod

Mass of ball , radius of ball

a)

Initial energy of system(rod+ball) is

Final energy of system, when system falls by 900 ,

Conserving energy of system at two positions,

b)

For rod moment of inertia   , for ball moment of inertia

c)

Linear speed of ball

d)

If the ball falls ( ) from a height of

is greater than by

genius_generous answered 1 week ago
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