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Masses of 2 kg and 5 kg are suspended at...

Masses of 2 kg and 5 kg are suspended at the two ends of a light rod of length 1.4 m. At which point should the rod be supported at to keep the system horizontal?

Text Solution

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The rod is kept horizontal and so does not have any rotational motion. Suppose the rod is supported at O Fig.
Taking moments about the point O,
`2xxOA-5xxOB=0`
Let OA = x
`:.` OB = (1.4-x)
Then, 2x = 5(1.4-x) or, 7x=7 or, x=1m.
Hence, the rod is supported 1 m away from the 2 kg mass.
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