A force F → = a i ^ + 3 j ^ + 6 k ^ is acting at a point r → = 2 i ^ - 6 j ^ - 12 k ^ . The value of a for which angular momentum is conserved is -

Angular momentum will be conserved if τ = 0 i.e. r → × F → = 0 a 2 = 3 - 6 = 6 - 12 ∴ a = - 1

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Physics - Rotation Question with Solution | TestHub

PhysicsRotationAngular momentumEasy2 minPYQ_2020

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A force $\vec{F} = a \hat{i} + 3 \hat{j} + 6 \hat{k}$ is acting at a point $\vec{r} = 2 \hat{i} - 6 \hat{j} - 12 \hat{k}$ . The value of $a$ for which angular momentum is conserved is -

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Answer:

Solution:

Angular momentum will be conserved if $τ = 0$

i.e. $\vec{r} \times \vec{F} = 0$

$\frac{a}{2} = \frac{3}{- 6} = \frac{6}{- 12}$

$∴ a = - 1$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Angular momentum

⏱ 2mℹ️ Source: PYQ_2020

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