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manoj jangra 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

7 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


 

7 years ago
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