Question

As shown in figure, mass M = 10 gms is placed on an inclined plane. In order to keep it at rest, the value of
m will be
a) 5gm
c) 0.10 gm
b)10/3gm
(d)1.0 /3gm​

Answer 1

Solution:

Given:

The mass of the body on the inclined plane is “M” which is equivalent to 10 gm. The inclined plane is at an angle of 30°. The small mass or “m” is pulling the mass of “M” downward similarly the mass “M” is also pulling the weight of the mass “m”.

The yellow line tells us about the downward force of “M” as Mg.sinθ, the blue line tells the horizontal motion of the mass “m” as Mg.cosθ.

Whereas:

The green line tell us about the downward force of the small mass “m” as we can see that the vertical motions of Mg.sinθ and m are in same direction.

Therefore:

The value of mass m with respect to mass M and keeping both the masses in equilibrium is:

$\implies$ Mg.sinθ = mg

$\implies$ m = M.sinθ

Putting the values in M and θ we get the value of “m” as:

$\implies$ m = 10.sin30°

Therefore,

The value of “m” = 5 gm

Correct option: a) 5 g

__________________

Answered by: Niki Swar, Goa❤️