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Asked by Neel Last Modified
Answer As an experienced tutor registered on UrbanPro, I'd be happy to help you with this physics problem.
When the string is cut, the bob will continue its motion with the velocity it had at the instant of cutting the string. Let's analyze both scenarios:
(a) When the bob is at one of its extreme positions: At the extreme position, all of the kinetic energy of the system is converted into potential energy. Therefore, the velocity of the bob at this point is zero. When the string is cut, the bob will simply fall vertically downward due to gravity.
(b) When the bob is at its mean position: At the mean position, the bob has its maximum kinetic energy and zero potential energy. The velocity of the bob at this point is given as 1 m/s. When the string is cut, the bob will continue its motion along a tangent to its trajectory at that point. Since the bob has no initial vertical velocity, it will follow a projectile motion under gravity.
So, in summary: (a) The trajectory is a simple vertical fall. (b) The trajectory is a projectile motion under gravity.
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