Applied Mechanics - Engineering

Q1:

When a body slides down an inclined surface, the acceleration (f) of the body, is given by

A f = g

B f = g sin θ

C f = g cos θ

D f = g tan θ.

ANS:B - f = g sin θ

When a body slides down an inclined surface, its acceleration f can be broken down into two components: one parallel to the incline and the other perpendicular to the incline. The force due to gravity acting on the body can be resolved into two components:

  • mg sin θ acting parallel to the incline
  • mg cos θ acting perpendicular to the incline
Here,
  • g is the acceleration due to gravity
  • θ is the angle of inclination
The component of gravity parallel to the incline (mg sin θ) contributes to the acceleration of the body along the incline. Therefore, the correct expression for the acceleration (f) of the body sliding down an inclined surface is: f = g sin θ So, the correct option is f = g sin θ