Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationEasy2 minPYQ_2022

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The torque of a force $5 \hat{i} + 3 \hat{j} - 7 \hat{k}$ about the origin is $τ$ . If the force acts on a particle whose position vector is $2 \hat{i} + 2 \hat{j} + \hat{k}$ , then the value of $τ$ will be

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Answer:

Solution:

Using the determinant rule to find the torque
$\vec{τ} = \vec{r} \times \vec{F} = |\begin{matrix} \hat{i} & \hat{j} & \hat{k} \\ 2 & 2 & 1 \\ 5 & 3 & - 7 \end{matrix}|$
$= \hat{i} (- 14 - 3) - \hat{j} (- 14 - 5) + \hat{k} (6 - 10)$
Thus, the value of $\vec{τ} = - 17 \hat{i} + 19 \hat{j} - 4 \hat{k}$

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

⏱ 2mℹ️ Source: PYQ_2022

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