A mass is attached to one end of a massless string, the other end of which is attached to a fixed support. Length of the pendulum is 25 cm. At lower most position P, pendulum is given velocity 5 m/s.

Question

A mass is attached to one end of a massless string, the other end of which is attached to a fixed support. Length of the pendulum is 25 cm. At lower most position P, pendulum is given velocity 5 m/s. When string becomes horizontal, string is cut. Find maximum height (in meter), achieved by the pendulum from the horizontal position of the string. $(g = 10 m / s^{2})$

diagram

TestHub · Accepted Answer

v 2 = 5 2 − 2 gL = 25 − 5 = 20 at the horizontal position. After the cut it is a vertical throw: h = 2 g v 2 ​ = 20 20 ​ = 1 m .

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