Test Academy | A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity ω about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is (1/2)m ω² x, (1/2)m ω² x²/l, (1/2)m ω²l(l- x/l), (1/2)m ω²(l²- x²)/l

Question

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity ω about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

Options :

(1/2)m ω² x
(1/2)m ω² x²/l
(1/2)m ω²l(l- x/l)
(1/2)m ω²(l²- x²)/l

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