Answer to Question #97722 in Classical Mechanics for Abdulkadir

Question

A particle of mass 300g is attached to one end of a light inextensible string of length 40cm, the other end of the string being fixed at 0 on a smooth horizontal surface. If the particle describe a circle centre o, find the tension in the string when. A. The speed of the particle is m/s. B. The angular speed of the particle is 5rad/s

Answer 1

The speed of the particle is

$$v=\omega r=(5)(0.4)=2\frac{m}{s}$$

The tension:

$$T=m\omega r^2=0.3(5)(0.4)^2=0.24\ N$$