A thin uniform metallic rod of mass M and length L is rotated with a angular velocity ω in a horizontal plane about a vertical axis passing through one of its ends. The tension in the middle of the rod is :
A
12MLω2
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B
14MLω2
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C
18MLω2
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D
38MLω2
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Solution
The correct option is D38MLω2
T(x)−T(x+dx)=MLw2xdx (by taylors series formula)
−dT=MLw2xdx (formulating the differential equation)