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/are correct? a. overset arrow N+ overset arrow T+ overset arrow W=0 b. T2=N2+W2 c. T=N+W d. N=Wtan θ

Question

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/are correct? <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-qsc1bl9tc65lbs85.jpg" /> a. overset arrow N+ overset arrow T+ overset arrow W=0 b. T2=N2+W2 c. T=N+W d. N=Wtan θ  (A) a, b, c (B) b, c, d (C) a, b, d (D) a, b, c, d

Tardigrade Admin · Accepted Answer

As the object is in equilibrium, the net force is zero overset arrow N+ overset arrow T+ overset arrow W=0 Also from the diagram, T2=N2+W2 From components, N=Wtan θ

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/are correct?

a. $N \to + T \to + W \to = 0$
b. $T^{2} = N^{2} + W^{2}$
c. $T = N + W$
d. $N = W t an θ$

a, b, c

b, c, d

a, b, d

a, b, c, d

As the object is in equilibrium, the net force is zero
$N \to + T \to + W \to = 0$
Also from the diagram, $T^{2} = N^{2} + W^{2}$
From components, $N = W t an θ$

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/are correct? a. N→+T→+W→=0 b. T2=N2+W2 c. T=N+W d. N=Wtanθ