Name: Motion on Rough Inclined Plane
Uploaded: 2019-07-19
Duration: 6 min 27 s
Description: You know that smoothness of the surface influences the friction on the object moves over it. Let us discuss the motion of a block on a rough surface in this...

Question

The diagram shows a particle of mass $0.6 kg$ on a plane inclined at $25 °$ to the horizontal. The particle is acted on by a force of magnitude $P N$ directed up the plane parallel to a line of greatest slope. The coefficient of friction between the particle and the plane is $0.36 .$ Given that the particle is in equilibrium, find the set of possible values of $P$

Accepted Answer

Given, the mass of the particle $= 0.6 kg$ .

The angle of inclination $θ = 25 °$ .

The force applied = $P$ .

At the equilibrium, the minimum force required to move the particle up the plane is given by,

$P_{up} = mg (sinθ + μ \cos θ) = 0.6 \times 10 (0.42 + 0.36 \times 0.90)$ .

= $4.45 N$ .............................................................................(1)

The minimum force required to move the particle down the plane is given by,

$P_{down} = mg (sinθ - μ \cos θ) = 0.6 \times 10 (0.42 - 0.36 \times 0.90)$ .

= $0.6 N$ ......................................................................(2)

Therefore, the possible values are $P = 4.45 N, 0.6 N$ .

Important Questions on Friction

Learn and Prepare for any exam you want !