Answer to Question #97804 in Mechanics | Relativity for Abdulkadir Imoro

Question

1. A particle of mass 300g is attached to one end of a light inextensible string of length of 400m, the other end of the string being fixed at o on a smooth horizontal surface. If the particle describe a circle centre o, find the tension in the string 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:

$$T=m\omega^2 r=0.3(5)^2(0.4)=3\ N$$