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Question

A particle is suspended from a fixed point by a string of length 10 m. The particle is given a horizontal velocity at the lowest point. The string slacks after the particle have reached a height of 16 m above the lowest point. What is the velocity of the particle just before the string slacks?

A
315 m/s
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B
215 m/s
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C
415 m/s
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D
515 m/s
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Solution

The correct option is B 215 m/s

cosθ=610=35
String slacks when Tension T=0
At point P,
T=0
mv2R=mg cosθ
v2R=g cosθ
v=R g cosθ
v=10×10×35
v=215 m/s
Hence, option (b) is correct.

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