JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Laws of Motion

WhatsApp Email

A 1 kg mass is suspended from the ceiling by a rope of length 4 m . A horizontal force ' F ' is applied at the mid point of the rope so that the rope makes an angle of

4 5^{\circ}

with respect to the vertical axis as shown in figure. The magnitude of F is :

(A) $\frac{10}{2} N$
(B)1 N
(C) $\frac{1}{10 \times 2} N$
(D)10 N✓ Correct

Answer: (D)

Solution

At the midpoint of the rope, the horizontal force

F

and the two tension segments (each making

4 5^{\circ}

with the vertical) balance; the tension in the lower segment supports the hanging mass, so

T_{2} = m g = 10

N, and by symmetry of the

4 5^{\circ}

angle,

F = T_{2} tan 4 5^{\circ} = 10 N

JEE Main · 2024 · 09 Apr 2024 · 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 →