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Standard XII

Physics

Deducing Mathematically

Three particl...

Question

Three particles $A, B$ and $C$ of masses $m, 2 m$ and $4 m$ are placed on a straight line of length $2 L$ as shown. Find the moment of inertia about an axis passing through $B$ and perpendicular to the line $A C$

m L^{2}

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3 m L^{2}

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4 m L^{2}

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5 m L^{2}

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Solution

The correct option is D $5 m L^{2}$
$I_{a x i s} = m L^{2} + 2 m (0)^{2} + 4 m [L]^{2} = 5 m L^{2}$

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Three particles A,B and C of masses m,2m and 4m are placed on a straight line of length 2L as shown. Find the moment of inertia about an axis passing through B and perpendicular to the line AC

The correct option is D 5mL2Iaxis=mL2+2m(0)2+4m[L]2=5mL2

Three particles $A, B$ and $C$ of masses $m, 2 m$ and $4 m$ are placed on a straight line of length $2 L$ as shown. Find the moment of inertia about an axis passing through $B$ and perpendicular to the line $A C$

The correct option is D $5 m L^{2}$
$I_{a x i s} = m L^{2} + 2 m (0)^{2} + 4 m [L]^{2} = 5 m L^{2}$