First slide

Torque

Question

A force F = 2.0 N acts on a particle P in the XZ-plane. The force F is parallel to X-axis. The particle P (as shown in the figure) is at a distance 3 m and the line joining P with the origin makes angle 30° with the X-axis. The magnitude of torque on P w.r.t. origin O (in N-m) is [AMU 2011)

Moderate

A

2
B

3
C

4
D

5

Solution

As, torque, $τ = F \cdot r \sin θ$
$= 2 \times 3 \times \sin 30^{\circ}$ (Given)
$\Rightarrow τ = 6 \times \frac{1}{2} = 3 N - m$

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