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Questions  

A 8 kg stone tied at the end of a string 1 metre long is whirled in a vertical circle. At the instant when the string makes an angle θ with the vertical, the speed of the stone is 4 ms-1 and the tension in the thread is 104 N. Then θ is

a
00
b
300
c
600
d
None of these

detailed solution

Correct option is C

T - mg cosθ = mv2ror     104 - 8 × 10 cos θ = 8×4×42or 104-8 cos θ = 64or 80 cos θ = 104- 64or cosθ = 4080 = 12θ = 600

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A pendulum of length / = l m is released from θ0 = 600. The rate of change of speed of the bob at θ = 300 is (g = 10 m/s2)


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