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Question
The free end of a simple pendulum is attached to the ceiling of a box. The box is taken to height and the pendulum oscillates. When the bob is at its lowest point, the box is released to fall freely. As seen from the box during this period, the body will
The free end of a simple pendulum is attached to the ceiling of a box. The box is taken to height and the pendulum oscillates. When the bob is at its lowest point, the box is released to fall freely. As seen from the box during this period, the body will
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Solution
The correct option is C will go in a circular path
At the lowest point the bob is moving horizontally with the maximum speed. When we observe the bob from the box when free falling, the box is a non-inertial frame with acceleration g downwards. If we want to apply newtons laws of motion here we will have to apply a pseudo force mg upwards. Thus the weight mg and the pseudo force -mg have a resultant zero force on the bob and hence no restoring force for the oscillation. Since the bob has a horizontal speed and it is tied to the ceiling with a string it will go in a circular path. Hence the option (c) is true.
At the lowest point the bob is moving horizontally with the maximum speed. When we observe the bob from the box when free falling, the box is a non-inertial frame with acceleration g downwards. If we want to apply newtons laws of motion here we will have to apply a pseudo force mg upwards. Thus the weight mg and the pseudo force -mg have a resultant zero force on the bob and hence no restoring force for the oscillation. Since the bob has a horizontal speed and it is tied to the ceiling with a string it will go in a circular path. Hence the option (c) is true.
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