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?

Question

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?,

MARKS App · Accepted Answer

(a) At each extreme position, velocity of the bob is zero. At the extreme position, it is only under the influence of gravity. Hence the bob will fall vertically downwards. (b) At each mean position, velocity of the bob is 1 ms − 1 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 horizontal projectile. Hence, it will follow a parabolic path.

Search any question & find its solution

Looking for more such questions to practice?