On a rough plane inclined at to the horizontal

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

On a rough plane inclined at

30^{\circ}

to the horizontal, a

5\,\text{kg}

block is to be prevented from sliding down by pressing it against the plane with a force

P

acting perpendicular to the surface. The coefficient of static friction between the block and the plane is

0.3

. Determine the minimum value of

P

. Take

g = 10\,\text{m}\,\text{s}^{-2}

. (a)

58\,\text{N}

(b)

40\,\text{N}

(c)

25\,\text{N}

(d)

83\,\text{N}