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Physics - Rotation Question with Solution | TestHub

PhysicsRotationTorque / angular accelerationEasy2 minPYQ_2020

PhysicsEasysingle choice

A force $\vec{F} = 2 \hat{i} + 3 \hat{j} N$ is applied to an object that is pivoted about a fixed axle aligned along the z-coordinate axis. If the force is applied at the point $\vec{r} = 4 \hat{i} + 5 \hat{j} m,$ then the magnitude of the net torque about the z-axis is

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Answer:

Solution:

$\vec{F} = 2 \hat{i} + 3 \hat{j} N$

$\vec{r} = 4 \hat{i} + 5 \hat{j} m \Rightarrow \vec{τ} = \vec{r} \times \vec{F}$

$\vec{τ} = (4 \hat{i} + 5 \hat{j}) \times (2 \hat{i} + 3 \hat{j})$

$\vec{τ} = 12 \hat{k} - 10 (\hat{k}) \Rightarrow \vec{τ} = 2 \hat{k}$

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

⏱ 2mℹ️ Source: PYQ_2020

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