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Question

A particle of mass m moves along the internal smooth surface of a vertical cylinder of radius r. Find the force with which the particle acts on the cylinder wall if at t=0, its velocity is v0 and it makes an angle α with the horizontal.

136092_c90ebb008d86463595e71d6461492a58.jpg

A
mv02R
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B
mv02Rcosα
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C
mv02sinαR
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D
mv02cos2αR
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Solution

The correct option is C mv02cos2αR
Here the force is the centrifugal force. i.e
F=mv2r=m(v0cosα)2R=mv20cos2αR
176953_136092_ans.png

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