Radial & Tangential Acceleration for Non Uniform Circular Motion
A stone weigh...
Question
A stone weighing 1kg is whirled in a vertical circle at the end of a rope of length 0.5m. Stone completes the vertical circle with minimum possible speed. The velocity of the stone midway, when the string is horizontal is (Take g=10m/s2)
A
√20m/s
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B
5m/s
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C
√15m/s
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D
3m/s
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Solution
The correct option is C√15m/s
Since, the stone is just completing the vertical circle. VA=√gR Applying law of conservation of energy at A and B UA+KEA=UB+KEB mg(2R)+12m(√gR)2=mg(R)+12mv2B ⟹mgR+12m(gR)=12mv2B ⟹vB=√3gR ⟹vB=√15m/s (∵R=0.5m)