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Q.

A uniform rope of length 10m  is on a smooth horizontal surface. It is being pulled by a horizontal force of 20N  at one end. The ratio of tension at a distance of 4m from force end to tension at a distance of 4m from free end is,

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a

1:1

b

2:3

c

1:2

d

3:2

answer is D.

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Detailed Solution

From force end : F−T1=4M10a From free end : T=4M10aGiven : F=20N⇒a=FMSo, F−T1=4M10×FM=4F10⇒T1=6F10Also, T=4F10Thus, T1:T=3:2
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A uniform rope of length 10m  is on a smooth horizontal surface. It is being pulled by a horizontal force of 20N  at one end. The ratio of tension at a distance of 4m from force end to tension at a distance of 4m from free end is,