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A horizontal force is applied on a unifo...

A horizontal force is applied on a uniform rod of length L kept on a frictionless surface. Find the tension in rod at a distance 'x' from the end where force is applied

Text Solution

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Considering rod as a system, we find acceleration of rod `a=F/m`
now draw F.B.D. of rod having length 's' as shown in figure.

Using Newton's second law
`F-T=((M)/(L))x.arArrT=F-(M)/(L)x.(F)/(M)`
`rArrT=F(1-(x)/(L))`
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Knowledge Check

  • A string of length L and mass M is lying on a horizontal table. A force F is applied at one of its ends. Tension in the string at a distance x from the end at which force is applied is

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