Question
A block of mass m is placed on a rough inclined plane. When the plane is gradually inclined and at angle of inclination α, the block just starts moving. The angle of inclination is further increased and fixed at angle θ. Find the acceleration of the block.
Solution
The block just starts sliding at angle of inclination 'a'.
Thus, a is the angle of repose and coefficient of friction is tan a.
When angle of inclination is increased to angle θ, then the body starts sliding with acceleration a along the inclined plane.
Now,
R =
and![]()
Thus, a is the angle of repose and coefficient of friction is tan a.
When angle of inclination is increased to angle θ, then the body starts sliding with acceleration a along the inclined plane.
Now,
R =
and
