Find value of x if torque of force F = i ^ + 2 j ^ + 3 k ^ applied at point ( x , 1 , − 1 ) about origin is 3 i ^ − 7 j ^ + 3 k ^ .

τ = r × F = i ^ x 1 j ^ 1 2 k ^ − 1 3 ⟹ x = 2

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PhysicsRotationTorque / angular accelerationEasy2 minQB

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Find value of $x$ if torque of force $F = \hat{i} + 2 \hat{j} + 3 \hat{k}$ applied at point $(x, 1, - 1)$ about origin is $3 \hat{i} - 7 \hat{j} + 3 \hat{k}$ .

Answer:

Solution:

$τ = r \times F = \hat{i} x 1 \hat{j} 12 \hat{k} - 1 3 ⟹ x = 2$

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

⏱ 2mℹ️ Source: QB

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