A pendulum consists of an object of mass m = 1.2 kg swinging on a massless string of length l = 259 cm. The object has a speed of 2.4 m/s when it passes through its lowest point. What is the greatest angle with the vertical that the string makes during the motion of the object?

Thank you

1 answer

This is geometry. Draw the figure.

Set mgh=1/2 mv^2, solve for h. That is the height to which the bob rises.

Draw the triangle. If I remember (in my head), Costheta=(l-h)/l
and you solve for the angle.

check that carefully.