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A 5 kg body is rotated in a vertical circle with a constant speed of $4 {ms}^{- 1}$ using a string of length 1 m, when the tension in the string is 31N, then the body will be

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at horizontal position

making an angle

30 °

with vertical

at the lowest point

at the highest point

answer is C.

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Detailed Solution

m = 5 kg, L = 1 m, v = 4 {ms}^{- 1}, T = 31 N

$θ = ?$

$T = \frac{{mv}^{2}}{L} + mg \cos θ$

$31 = \frac{5 \times 16}{1} + 5 \times 10 \times \cos θ$

$\cos θ ≅ - 1$

$θ = 180 °$

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