Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass. The centre of mass of the system from the 5 kg particle is nearly at a distance of [2020]

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Solution

Q.
Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass. The centre of mass of the system from the 5 kg particle is nearly at a distance of [2020]

1 33 cm

2 50 cm

3 67 cm

4 80 cm

Ans.
(3)

Given : $m_{1} = 5 kg,$ $m_{2} = 10 kg$ and $L = 1 m$

Here centre of mass, $X_{c m} = \frac{m_{1} x_{1} + m_{2} x_{2}}{m_{1} + m_{2}}$

$= \frac{5 \times 0 + 10 \times 1}{15} = \frac{10}{15} = \frac{2}{3} = 0.666 m; 0.67 m = 67 cm$

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