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AB is a mass less rigid rod of length 2l...

AB is a mass less rigid rod of length 2l. It is free to rotate in vertical plane about a horizontal axis passing through its end A. Equal point masses (m each) are stuck at the centre C and end Bof the rod. The rod is released from horizontal position. Write the tension in the rod when it becomes vertical.

Text Solution

Verified by Experts

The correct Answer is:
Tension in segment `AC =28/5 mg`
Tension in Segments `BC=17/5 mg`
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Knowledge Check

  • A uniform metal rod is rotated in horizontal plane about a vertical axis passing through its end at uniform rate. The tension in the rod is

    A
    same at all points
    B
    different at differen points and maximum at centre of rod
    C
    different at different points and minimum at axis of rotation.
    D
    different at different points and maximum at axis of rotation

  • A thin homogeneous rod of mass m and length l is free to rotate in vertical plane about a horizontal axle pivoted at one end of the rod. A small ballof mass m and charge q is attached to the opposite end of this rod. The whole system is positioned in a horizontal electric field of magnitude E=(mg)/(2q) . The rod is released from, shown position from rest. What is the speed of ball when rod becomes vertical?

    A
    `sqrt((2gl)/3)`
    B
    `sqrt((3gl)/4)`
    C
    `sqrt((3gl)/2)`
    D
    `sqrt((4gl)/3)`

  • A unifrom rod of length l and mass m is free to rotate in a vertical plane about A as shown in Fig. The rod initially in horizontal position is released. The initial angular acceleration of the rod is

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    B
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    C
    `(g)/(2l)`
    D
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