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  4. Two bodies of masses 1 kg and 1 kg 2 kg are moving in two perpendicular direction with velocities 1 m / s and 2 m / s as shown in figure. The velocity of the centre of mass (in magnitude) of the be:

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Q. Two bodies of masses $1\, kg$ and $1 \,kg$ $2 \,kg$ are moving in two perpendicular direction with velocities $1\, m / s$ and $2 \,m / s$ as shown in figure. The velocity of the centre of mass (in magnitude) of the be:Physics Question Image

System of Particles and Rotational Motion

Solution:

$\vec{v}_{ cm }=\frac{1 \times \hat{i}+2 \times 2 \hat{j}}{1+2}=\frac{\hat{i}+4 \hat{j}}{3}$
$\left|\vec{v}_{ cm }\right|=\frac{1}{3} \sqrt{1^{2}+4^{2}}$
$=\frac{\sqrt{17}}{3}=1.37\, m / s$