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?

a. $\overset{ \rightarrow }{N}+\overset{ \rightarrow }{T}+\overset{ \rightarrow }{W}=0$
b. $T^{2}=N^{2}+W^{2}$
c. $T=N+W$
d. $N=Wtan \theta $

• A. a, b, c
• B. b, c, d
• C. a, b, d
• D. a, b, c, d

Answer 1

Answer: (C)

As the object is in equilibrium, the net force is zero
$\overset{ \rightarrow }{N}+\overset{ \rightarrow }{T}+\overset{ \rightarrow }{W}=0$
Also from the diagram, $T^{2}=N^{2}+W^{2}$
From components, $N=Wtan \theta $