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Loop-the-Loop (a) A block of mass $m$ slides from rest on a frictionless loop-the-loop track, as shown in Figure $8-32$. What is the minimum release height, $h,$ required for the block to maintain contact with the track at all times? Give your answer in terms of the radius of the loop, $r$ (b) Explain why the release height obtained in part (a) is independent of the block's mass.

          Loop-the-Loop (a) A block of mass $m$ slides from rest on a frictionless loop-the-loop track, as shown in Figure $8-32$. What is the minimum release height, $h,$ required for the block to maintain contact with the track at all times? Give your answer in terms of the radius of the loop, $r$ (b) Explain why the release height obtained in part (a) is independent of the block's mass.
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Loop-the-Loop (a) A block of mass $m$ slides from rest on a frictionless loop-the-loop track, as shown in Figure $8-32$. What is the minimum release height, $h,$ required for the block to maintain contact with the track at all times? Give your answer in terms of the radius of the loop, $r$ (b) Explain why the release height obtained in part (a) is independent of the block's mass.
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Loop-the-Loop (a) A block of mass $m$ slides from rest on a frictionless loop-the-loop track, as shown in Figure $8-32$. What is the minimum release height, $h,$ required for the block to maintain contact with the track at all times? Give your answer in terms of the radius of the loop, $r$ (b) Explain why the release height obtained in part (a) is independent of the block's mass.

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As shown in the figure below, a block of mass m starts from rest and slides on a frictionless loop-the-loop track with a loop radius of r. Determine the minimum release height h in order for the block to maintain contact with the track at all times. Express your answer in terms of the radius of the loop, r.

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Transcript

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00:02 Applying conservation of energy for position a and b.
00:16 Cynetic energy at b plus potential energy at b.
00:21 Kinetic energy at a plus potential energy at b.
00:26 Kinetic energy will be half mb square...
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