Question

A body is supported on a rought plane inclined at 30^(@) to the horizontal by a string attached to the body and held at an angle of 30^(@) to the plane . Draw a diagram showing the forces acting on the body and resolve each of these forces (a) horizontally and vertically, (b) parallel and perpendicular to the plane.

Answer 1

Below are given the dissolved components of frictional force, Normal force and tension long horizontal and vertical direction.

Explanation:

Angle made by string = 30°

Now the force of friction on the mass "m":

(a) Now dissolve the Friction force "f" into its components:

fH = Along horizontal

fv = Along vertical

fH = f cos 30°

fv = f sin 30°

(b) Now normal force:

NH = N cos 60°

Nv = N sin 60°

(c) Tension "T" has also two components:

TH = Along horizontal = TH cos 60°

Tv =  Along Vertical = Tv sin 60°