A small ball of mass m is attached to the middle of a tightly stretched perfectly flexible wire AB of length 2 l (figure ). The ball is given a small lateral displacement in horizontal direction and released. The initial tension (T) in the wire is high and change in it due to small lateral displacement of the ball can be neglected. Prove that the ball will perform simple harmonic motion, and calculate the period. If there is a device which can change the tension in the wire at will , how will the time period change if tension in the wire is increased

A small ball of mass m is attached to the middle of a tightly stretche

1.	A small ball of mass m is attached to the middle of a tightly stretched perfectly flexible wire AB of length 2 l (figure ). The ball is given a small lateral displacement in horizontal direction and released. The initial tension (T) in the wire is high and change in it due to small lateral displacement of the ball can be neglected. Prove that the ball will perform simple harmonic motion, and calculate the period. If there is a device which can change the tension in the wire at will , how will the time period change if tension in the wire is increased
Answer» Correct Answer - `2pisqrt((ml)/(2T))`, " Time period increases".

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