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Q.

Figure shows a thin uniform rod 50cm long and has a mass of 100g. A hollow metal ball is filled with air and has a diameter 10cm and total mass 50g is fixed to one end of the rod. At what point along its length will the ball and rod balance horizontally?

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a

20 cm from the centre of rod

b

10 cm from the centre of rod

c

Where the ball is attached to the rod

d

At the centre of rod

answer is B.

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Detailed Solution

$X_{c m} = \frac{m_{1} x_{1} + m_{2} x_{2}}{m_{1} + m_{2}} = \frac{100 \times 25 + 50 \times 55}{100 + 50} = 35 c m$

Distance from centre of rod = 35 – 25 = 10 cm to the right

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Figure shows a thin uniform rod 50cm long and has a mass of 100g. A hollow metal ball is filled with air and has a diameter 10cm and total mass 50g is fixed to one end of the rod. At what point along its length will the ball and rod balance horizontally?