The coordinates of a particle with respect to origin in a given reference frame is ( 1 , 1 , 1 ) meters. If a force of F = i ^ − j ^ + k ^ acts on the particle, then the magnitude of torque (with respect to origin) in z-direction is ______.

τ = r × F = i ^ 1 1 j ^ 1 − 1 k ^ 1 1 τ = k ^ ( − 1 − 1 ) = − 2 k ^ ∣ τ ∣ = 2 Nm

Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationEasy2 minPYQ_2025

PhysicsEasynumerical

The coordinates of a particle with respect to origin in a given reference frame is $(1, 1, 1)$ meters. If a force of $F = \hat{i} - \hat{j} + \hat{k}$ acts on the particle, then the magnitude of torque (with respect to origin) in z-direction is ______.

Answer:

2.00

Solution:

$τ = r \times F = \hat{i} 11 \hat{j} 1 - 1 \hat{k} 11 τ = \hat{k} (- 1 - 1) = - 2 \hat{k} ∣ τ ∣ = 2 Nm$

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Torque / angular acceleration

⏱ 2mℹ️ Source: PYQ_2025

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