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.