A thin rod of length L and mass M is bent at the middle point O at an angle of 60∘. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

Name: Video solution 1: A thin rod of length L and mass M is bent at the middle point O at an angle of 60∘. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be
Uploaded: 2023-04-19T15:39:53.000Z
Duration: 4 min
Description: Video solution 1: A thin rod of length L and mass M is bent at the middle point O at an angle of 60∘. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

Moment of inertia of a uniform rod about one end =3ml2∴ Moment of inertia of the system, which rod is bent,=2×(2M)3(L/2)2=12ML2

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System of Particles and Rotational Motion

Moment of inertia

A thin rod of length L and mass M is bent at the middle point

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A thin rod of length $L$ and mass $M$ is bent at the middle point $O$ at an angle of $6 0^{\circ}$ . The moment of inertia of the rod about an axis passing through $O$ and perpendicular to the plane of the rod will be

\frac{M L ^{2}}{6}

\frac{M L ^{2}}{12}

\frac{M L ^{2}}{24}

\frac{M L ^{2}}{3}

Views: 5,329 students

Updated on: Apr 19, 2023

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Master Resource Book in JEE Main Physics (Arihant)

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Scarlett Discussed

A thin rod of length

L

and mass

M

is bent at the middle point

O

at an angle of

6 0^{\circ}

. The moment of inertia of the rod about an axis passing through

O

and perpendicular to the plane of the rod will be

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Moment of inertia of a uniform rod about one end

= \frac{m l ^{2}}{3}

∴

Moment of inertia of the system, which rod is bent,

= 2 \times (\frac{M}{2}) \frac{( L /2 ) ^{2}}{3} = \frac{M L ^{2}}{12}

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Question Text	A thin rod of length $L$ and mass $M$ is bent at the middle point $O$ at an angle of $6 0^{\circ}$ . The moment of inertia of the rod about an axis passing through $O$ and perpendicular to the plane of the rod will be
Updated On	Apr 19, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	213
Avg. Video Duration	4 min

A thin rod of length $L$ and mass $M$ is bent at the middle point $O$ at an angle of $6 0^{\circ}$ . The moment of inertia of the rod about an axis passing through $O$ and perpendicular to the plane of the rod will be

Text solutionVerified

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A thin rod of length L and mass M is bent at the middle point O at an angle of 60∘. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

Text solutionVerified

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A thin rod of length $L$ and mass $M$ is bent at the middle point $O$ at an angle of $6 0^{\circ}$ . The moment of inertia of the rod about an axis passing through $O$ and perpendicular to the plane of the rod will be