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Question

A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R, as shown. Choose the correct alternative(s) if H= 2R.
987824_e7b58011511e48eca2c254d6ebe5180e.png

A
The particle reaches the top of the loop with zero velocity.
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B
The particle cannot reach the top of the loop.
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C
The particle breaks of at a height h=R from the base of the loop
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D
The particle breaks off at a height h from the base of the loop such that R<h<2R
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Solution

The correct options are
B The particle cannot reach the top of the loop.
D The particle breaks off at a height h from the base of the loop such that R<h<2R
1740314_987824_ans_be8d497c2fbd41dbb57c3aaf0b7eb71b.jpg

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