(2.5) A small ball (I = 0.36 m r2, m 100 grams) rolls, without slipping, on a track with an initial speed of 2 m/s from a height, Ho, of 0.7 m. The ball hits a wheel (I = 0.5 kg m2,R = 0.5 m) that is at rest. The wheel catches the ball and then freely rotates about the %3D %3D center. Find the maximum height, H of the ball after collision.
(2.5) A small ball (I = 0.36 m r2, m 100 grams) rolls, without slipping, on a track with an initial speed of 2 m/s from a height, Ho, of 0.7 m. The ball hits a wheel (I = 0.5 kg m2,R = 0.5 m) that is at rest. The wheel catches the ball and then freely rotates about the %3D %3D center. Find the maximum height, H of the ball after collision.
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Transcribed Image Text:(2.5) A small ball (I = 0.36 m r2, m = 100 grams) rolls, without slipping, on a track with an
%3D
initial speed of 2 m/s from a height, Ho, of 0.7 m. The ball hits a wheel (I = 0.5 kg m2, R =
0.5 m) that is at rest. The wheel catches the ball and then freely rotates about the
%3D
center.
Find the maximum height, H of the ball after collision.
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VIEWStep 2
VIEWStep 3 the translation velocity of the ball right before it got caught on the wheel
VIEWStep 4 Angular momentum about the axis of rotation of the wheel before and after collision
VIEWStep 5 the energy conservation for rotation of wheel-ball system
VIEWStep 6 Numerical value of the height maximum height H attained by the ball
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