JEE Main · 2024 · 01 Feb 2024 · Shift 1 · 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 $\vec{E}$ is applied, the tension in the string changes. The final tension in the string, when pendulum attains an equilibrium positi …

A large drum having radius R is spinning around its axis with angular velocity $\omega$, as shown in figure. The minimum value of $\omega$ 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 …

A spring of force constant $15\mathrm{N}/\mathrm{m}$ is cut into two pieces. If the ratio of their length is $1:3$, then the force constant of smaller piece is ______ $\mathrm{N}/\mathrm{m}$

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 $\overrightarrow{\mathrm{F}}$ required to slide the block C with constant speed is ______ N. (Used …

A block of mass 5 kg is moving on an inclined plane which makes an angle of $30^{\circ }$ with the horizontal. Friction coefficient between the block and inclined plane surface is $\frac{\sqrt{3}}{2}$. The force to be applied on the block so that the block will move down witho …

A particle of mass m falls from rest through a resistive medium having resistive force, $\mathrm{F}=-\mathrm{kv}$, where v is the velocity of the particle and k is a constant. Which of the following graphs represents velocity (v) versus time(t)?