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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

Xcm=m1x1+m2x2m1+m2=100×25+50×55100+50=35cm

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?