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A weight of 150 kg is hanged at distance...

A weight of 150 kg is hanged at distance of 60 cm from one end of 1.5 m long pole. If both the ends of pole are rested on the shoulder of two person, then the weight lifted by both the persons are

A

100 and 50 kg

B

60 and 90 kg

C

30 and 120 kg

D

75 kg each

Text Solution

Verified by Experts

The correct Answer is:
B
Let AB is a pole that experiences reactions `R_1` and `R_2` from shoulder of two persons as shown in the figure.

Here, AB= 150 cm OA = 60 cm OB = 90 cm
For translational equilibrium,
`R_1 +R_2 = 150`
For rotational equilibrium, we take moments about O
`therefore R_1 xx OA - R_2 xx OB = 0`
`60R_1 -90R_2 = 0`
`2R_1 - 3R_2 = 0`
After solving eqs.(i) and (ii) we get
` R_1 = 90 kg and R_2 = 60kg `
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