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 are true :

(a) $\overrightarrow{R}+\overrightarrow{T}+\overrightarrow{W}=0$
(b) $T^2=R^2+W^2$
(c) $T=R+W$
(d) $R=W\tan \theta$

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

Answer 1

The correct option is C $a,b,d$

Since the metal sphere is in equilibrium , so vector sum of forces acting on it must be 0 .

Thus (a) is correct .

$\vec{R}+\vec{T}+\vec{W}=0,

So $T^2=R^2+W^2$, (b) is also correct .

T Sin$\theta$ =R and T cos$\theta$ =W

Dividing them we get W tan $\theta$ =R.

(d) is also correct.