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A bob of mass 0.1 kg hung from the ceili...

A bob of mass 0.1 kg hung from the ceiling of a room by a string 2m long is set into oscillation. The speed of the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position.

Text Solution

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(a) We know that at each extreme position, velocity of the bob is zero. If the string is cut at the extreme position, it is only under the action of .g.. Hence the bob will fall vertically downwards.
(b) At the mean position, velocity of the bob is 1 m/s. along the tangent to the arc, which is in the horizontal direction. If the string is ut at mean position, the bob will behave as a horizontal projectile.
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Knowledge Check

  • A bob of mass 100g tied at the end of a string of length 50cm is revolved in a vertical circle with a constant speed of 1ms^(-1) . When the tension in the string is 0.7N, the angle made by the string with the vertical is (g= 10 ms^(-2))

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    A
    `0^(@)`
    B
    `90^(@)`
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    `180^(@)`
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    `0^(@)`
    B
    `90^(@)`
    C
    `180^(@)`
    D
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