List of top Physics Questions on laws of motion asked in JEE Advanced

A particle of mass m is moving such that its velocity at a point (x,y) is given by v = α (y\(\hat{i}\) + 2x\(\hat{j}\)), where α is a non-zero constant. What is the resultant force acting on the particle?

A person of height 1.6 m is walking away from a lamp post of height 4 m along a straight line on the horizontal ground. The lamp post and the person are always vertical. If the speed of the person is 60 cm/sec, then find the speed of tip point of its shadow with respect to the person in cm/sec.

A person of height 1.6 m is walking away from a lamp post of height 4 m along a straight line on the horizontal ground. The lamp post and the person are always vertical. If the speed of the person is 60 cm/sec, then find the speed of tip point of its shadow with respect to the person in cm/sec.

A solid sphere of mass $1 \,kg$ and radius $1 \,m$ rolls without slipping on a fixed inclined plane with an angle of inclination $\theta=30^{\circ}$ from the horizontal .Two forces of magnitude $1 \,N$ each, parallel to the incline, act on the sphere, both at distance $r=05 \,m$ from the center of the sphere, as shown in the figure. The acceleration of the sphere down the plane is ____ $ms ^{-2}$ (Take $g=10 \,m s ^{-2}$)

A ball of mass (m) 0.5 kg is attached to the end of a string having length (l) 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is

$A$ block of mass $m$ is on an inclined plane of angle $\theta$. The coefficient of friction between the block and the plane is $\mu$ and tan $\theta >\mu.$ The block is held stationary by applying a force $P$ parallel to the plane. The direction of force pointing up the plane is taken to be positive. As $P$ is varied from $P_{1}=mg$ $\left(sin\,\theta-\mu\,cos\,\theta\right)$ to $P_{2}=mg$ $\left(sin\theta+\mu cos\theta\right)$, the frictional force $f$ versus $P$ graph will look like

Two particles of mass $m$ each are tied at the ends of a light string of length $2a$. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance $a$ from the centre $P$ (as shown in the figure). 

Now, the mid-point of the string is pulled vertically upwards with a small but constant force $F$. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes $2x $ is

A long horizontal rod has a bead which can slide along its length and is initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with a constant angular acceleration $\alpha$. If the coefficient of friction between the rod and bead is $\mu$, and gravity is neglected, then the time after which the bead starts slipping is

A string of negligible mass going over a clamped pulley of mass $m$ supports a block of mass $M$ as shown in the figure. The force on the pulley by the clamp is given by

During paddling of a bicycle, the force of friction exerted by the ground on the two wheels is such that it acts

A car is moving in a circular horizontal track of radius $10\,m$ with a constant speed of $10\, m/s$. A plumb bob is suspended from the roof of the car by a light rigid rod. The angle made by the rod with the vertical is $(Take \,g \,=\, 10 m/s^2)$

A reference frame attached to the earth

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limits- $\phi$ and $+\phi$ For an angular displacement $\theta(| \theta |< \phi)$, the tension in the string and the velocity of the bob are T and v respectively. The following relations hold good under the above conditions

A ship of mass $3\times 10^7$ kg initially at rest, is pulled by a force of $5\times 10^4 N$ through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the ship is