First slide

Motion of centre of mass

Question

Two blocks ot masses 10 kg and 30 kg are placed along a vertical line. The first block is raised through a height of 7 cm. By what distance should the second mass be moved to raise the centre of mass by 1 cm?

Moderate

A

2 cm upward
B

1 cm upward
C

2 cm downward
D

1 cm downward

Solution

$y_{CM} = \frac{m_{1} y_{1} + m_{2} y_{2}}{m_{1} + m_{2}}$ or $+ 1 = \frac{(10) (7) + (30) y_{2}}{10 + 30}$
$∴ y_{2} = - 1 cm$

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