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Grade: 12
        

A rod of length L is pivoted at one end and is rotated witha uniform angular velocity in a horizontal plane.Let T1 and T2 be the tnesion at the points L/4 and 3L/4 away from the pivoted ends


A.T2 > T1        B.T1>T2


Ans- B

10 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
							

Dear manoj

let mass per unit length of rod is m

and take a strip of lenghth dx at a distance x from the pivoted end

tension in rod is due to centrifugal force in part of rod that is away from the point of interest

so for point at a distance L/4

 

T1  = limit  L/4 to L    (mdx)w2 x

     =15/32 mw2L2

 

For a point at 3L/4

T2  = limit  3L/4 to L    (mdx)w2 x

      =7/32 mw2L2

 

So  T1>T2


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Badiuddin

 

10 years ago
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