A round object with moment of inertia Iobject = 2/3MR2, mass M = 2:2 kg, and radius R=0.2 m rolls without slipping from rest (starting at height H). It leaves the horizontal section at the end of the track (just above point A) at height h=2.0 m with velocity vh=24.2 m/s (i.e. the velocity leaving the track is entirely horizontal). Hint: When the ball is in the air, rotation does not affect your use of the kinematic equations. A. Calculate the time it takes to hit the ground. B. Calculate the horizontal distance from the end of the track the ball travels. C. Calculate the initial height H of the ball.

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A round object with moment of inertia Iobject = 2/3MR2, mass M = 2:2 kg, and radius R=0.2 m rolls without slipping from rest (starting at height H). It leaves the horizontal section at the end of the track (just above point A) at height h=2.0 m with velocity vh=24.2 m/s (i.e. the velocity leaving the track is entirely horizontal).

Hint: When the ball is in the air, rotation does not affect your use of the kinematic equations.

A. Calculate the time it takes to hit the ground.

B. Calculate the horizontal distance from the end of the track the ball travels.

C. Calculate the initial height H of the ball.

 

H
m
h
A
Figure 2:
Transcribed Image Text:H m h A Figure 2:
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