Class 11

System of Particles and Rotational Motion question bank (Physics)

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Q1.

Four particles of masses $m, 2m, 3m$ and $4m$ are arranged at the corners of a parallelogram with each side equal to $a$ and one of the angles between two adjacent sides is $60^o$. The parallelogram lies in the $x-y$ plane with mass $m$ at the origin and $4m$ on the $x$-axis. The centre of mass of the arrangement will be located at

(A)

$\left( \frac{\sqrt{3}}{2}a, 0.95a \right)$

(B)

$\left( 0.95a, \frac{\sqrt{3}}{4}a \right)$

(C)

$\left( \frac{3a}{4}, \frac{a}{2} \right)$

(D)

$\left( \frac{a}{2}, \frac{3a}{4} \right)$

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Q2.

Three identical spheres,each of mass $1 \ kg$,are placed touching each other with their centres on a straight line. Their centres are marked $K, L$,and $M$ respectively. The distance of the centre of mass of the system from $K$ is

(A)

$\frac{KL + KM + LM}{3}$

(B)

$\frac{KL + KM}{3}$

(C)

$\frac{KL + LM}{3}$

(D)

$\frac{KM + LM}{3}$

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