Given that force ( 5 i ^ + 7 j ^ − 3 k ^ ) N acts on a particle at position ( i ^ + j ^ − k ^ ) m . Find torque of this force on the particle about origin.

Torque, τ = r × F = ( i ^ + j ^ − k ^ ) × ( 5 i ^ + 7 j ^ − 3 k ^ ) = i ^ ( − 3 + 7 ) − j ^ ( − 3 + 5 ) + k ^ ( 7 − 5 ) τ = 4 i ^ − 2 j ^ + 2 k ^

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Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationEasy2 minPYQ_2013

PhysicsEasysingle choice

Given that force $(5 \hat{i} + 7 \hat{j} - 3 \hat{k}) N$ acts on a particle at position $(\hat{i} + \hat{j} - \hat{k}) m$ . Find torque of this force on the particle about origin.

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Solution:

Torque, $τ = r \times F$ $= (\hat{i} + \hat{j} - \hat{k}) \times (5 \hat{i} + 7 \hat{j} - 3 \hat{k})$ $= \hat{i} (- 3 + 7) - \hat{j} (- 3 + 5) + \hat{k} (7 - 5)$ $τ = 4 \hat{i} - 2 \hat{j} + 2 \hat{k}$

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

⏱ 2mℹ️ Source: PYQ_2013

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