JEE Main · 2022 · 29 Jul 2022 · Shift 2 · Laws of Motion

Two bodies of masses

m_{1} = 5 kg

and

m_{2} = 3 kg

are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass

m_{1}

will be :

[

Take

g = 10 ms^{- 2}]

(A)30 N
(B)40 N✓ Correct
(C)50 N
(D)60 N

Answer: (B)

Solution

For the system to be in equilibrium, the tension in the string must balance the component of

m_{1}

's weight along the incline:

m_{2} g = m_{1} g sin θ

Solving for

sin θ

sin θ = \frac{m _{2}}{m _{1}} = \frac{3}{5}

Therefore:

cos θ = \frac{4}{5}

The normal force exerted by the inclined plane on

m_{1}

is:

N = m_{1} g cos θ = 5 \times 10 \times \frac{4}{5} = 40 N

The answer is (B) 40 N.

JEE Main · 2022 · 29 Jul 2022 · Shift 2 · Single correct option

Practise more: all JEE Main PYQs on Laws of Motion →

More JEE Main questions on Laws of Motion

A simple pendulum has a bob with mass $m$ and charge q . The pendulum string has negligible mass. When a uniform and horizontal electric field $E$ is applied, the tension in the string changes. The final tension in the string, when pendulum attains an equilibrium positi …
JEE Main 2026View solution →
A large drum having radius R is spinning around its axis with angular velocity $ω$ , as shown in figure. The minimum value of $ω$ so that a body of mass M remains stuck to the inner wall of the drum, taking the coefficient of friction between the drum surface and mas …
JEE Main 2026View solution →
A spring of force constant $15 N / m$ is cut into two pieces. If the ratio of their length is $1 : 3$ , then the force constant of smaller piece is ______ $N / m$
JEE Main 2026View solution →
In the given figure the blocks A, B and C weigh 4 kg, 6 kg and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5. The force $F$ required to slide the block C with constant speed is ______ N. (Used …
JEE Main 2026View solution →
A block of mass 5 kg is moving on an inclined plane which makes an angle of $3 0^{\circ}$ with the horizontal. Friction coefficient between the block and inclined plane surface is $\frac{3}{2}$ . The force to be applied on the block so that the block will move down witho …
JEE Main 2026View solution →
A particle of mass m falls from rest through a resistive medium having resistive force, $F = - kv$ , where v is the velocity of the particle and k is a constant. Which of the following graphs represents velocity (v) versus time(t)?
JEE Main 2026View solution →