Question

A metallic sphere is suspended on stationary wall with the help of a spring. Forces as shown in the fig. are acting on the sphere. Which statement/statements in following is true?
(a) $\overrightarrow{N}+\overrightarrow{T}+\overrightarrow{W}=0$ (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)

a, b, d

$Tsin\theta =N$
$Tcos\theta =W$
$\Rightarrow tan\theta =\frac{N}{W}$
$\Rightarrow N=Wtan\theta$
$\overrightarrow{N}+\overrightarrow{T}+\overrightarrow{W}=0$
As body is in equilibrium, so net force $=$zero.

Normal force $N$ and Gravitational force $W$ are at right angle so they will also follow Pythagoras rule i.e. $T^2=N^2+W^2$