Answer to Question #91264 in Mechanics | Relativity for Umar

Question

A body of mass 2kg is placed on a rough inclined plane whose angle of inclination is 30 degree. Find the resultant force acting down on the slope and acceleration if a frictional force of 5N acts between the body and the inclined surface.

Answer 1

The resultant force acting down on the body along a slope

$$F=mg \sin\theta=2\:\rm{kg}\times 9.8\:\rm{N/kg}\times\sin 30^{\circ}=9.8\:\rm{N}$$

The acceleration of the body

$$a=\frac{F-F_{\rm{fric}}}{m}=\frac{9.8\:\rm{N}-5\:\rm{N}}{2\:\rm{kg}}=2.4\:\rm{m/s^2}$$