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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 2 m long is set into oscillation. The speed of the bob at its mean position is `1 ms^(-1)` Then 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 cut at mean position, the bob will behave as a horizontal projectile.
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A bob of mass 0. kg hung from the ceiling of a room by a string 2 m long is set into oscillation . The speed of the bob at its mean position is 1 ms^(-1) . What is 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 .

A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s^(-1) . What is 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.

Knowledge Check

  • The maximum displacement of an oscillating particle is 0.05 m. If its time period is 1.57s (i) What is the velocity at the mean position ? (ii) What is its acceleration at the extreme position ?

    A
    `0.2 ms^(-1), 0.2 ms^(-2)`
    B
    `0.8 ms^(-1), 0.8 ms^(-2)`
    C
    `0.2 ms^(-1), 0.8 ms^(-2)`
    D
    `0.8 ms^(-1), 0.2 ms^(-2)`

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    A
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