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JEE PYQ: Laws Of Motion Question 32

Question 32 - 2019 | 11 Jan Shift 2] (MCQ)

The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5 m, the angle between the force and the position vector is (in radians) :

(1) $\frac{\pi}{6}$ [Correct]

(2) $\frac{\pi}{3}$

(3) $\frac{\pi}{8}$

(4) $\frac{\pi}{4}$

Show Answer

Answer: (1)

Solution

$|\vec{\tau}| = rF\sin\theta$. $2.5 = 5 \times 1 \times \sin\theta$. $\sin\theta = 0.5$. $\theta = \frac{\pi}{6}$.


Learning Progress: Step 32 of 34 in this series