A block of mass rests on a rough incline that makes an angle of with the horizontal.

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A block of mass

5\,\text{kg}

rests on a rough incline that makes an angle of

25^{\circ}

with the horizontal. (i) Show that the minimum coefficient of static friction required to keep the block at rest on the incline is

\tan\theta

. (ii) Calculate this minimum value of the coefficient for

\theta = 25^{\circ}

. (iii) If the actual coefficient of static friction between the block and the plane is

0.60

, determine the magnitude and direction of the frictional force acting on the block while it remains at rest.