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Q.

A metal sphere is hung by a string fixed to a wall. The forces acting on the sphere are shown in figure. Which of the following statements is NOT correct?

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a

N→+T→+W→ = 0

b

T2 = N2 +W2

c

T = N + W

d

N = W tan θ

answer is C.

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Detailed Solution

As the body is in equilibrium, so vector sum of all three forces N→, T   → and W→ should be zero. Hence (a) is correct. NowT sin θ = N ----(1)T cos θ = W -----(2)(l)+(2) ⇒ tan θ = NW⇒ N = W tan θ. Hence (d) is correct.Squaring and adding (1) and (2); T2 = N2+W2Hence (b) is correct.Hence (c) is incorrect.
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A metal sphere is hung by a string fixed to a wall. The forces acting on the sphere are shown in figure. Which of the following statements is NOT correct?