91Ó°ÊÓ

A particle of mass \(5 \mathrm{~kg}\) is pulled along a smooth horizontal surface by a horizontal string. The acceleration of the particle is \(10 \mathrm{~ms}^{-2}\). The tension in the string is: (a) \(2 \mathrm{~N}\) (b) \(50 \mathrm{~N}\) (c) \(5 \mathrm{~N}\) (d) \(15 \mathrm{~N}\) (e) \(10 \mathrm{~N}\).

A light inextensible string passes over a smooth fixed pulley and has a particle of mass \(5 m\) attached to one end and a second smooth pulley of mass \(m\) attached to the other end. Another light inextensible string passes over the second pulley and carries a mass \(3 \mathrm{~m}\) at one end and a mass \(m\) at the other end. If the system moves freely under gravity, find the acceleration of the heaviest particle and the tension in each string. (U of \(\mathrm{L})\)

(a) A particle is moving with a constant velocity. (b) The forces acting on a particle are in equilibrium.