List of top Questions asked in MET- 2021

A solid sphere of radius R has moment of inertia \(I\) about its diameter. What will be moment of inertia of a shell of same mass and same radius about its diameter?
A body is moving with constant velocity parallel to x-axis. Its angular momentum w.r.t. the origin will :
A uniform thin bar of mass \(6m\) and length \(12L\) is bent to make a regular hexagon. Its moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is:
A satellite goes along an elliptical path around earth. The rate of change of area swept by the line joining earth and the satellite is proportional to :
A particle is moving in a circular path with a constant speed \(v\). If \(\theta\) is the angular displacement. Then starting from \(\theta = 0\), the maximum and minimum changes in the momentum will occur, when value of \(\theta\) is respectively:
An object A moving horizontally with kinetic energy of 800 J experiences a constant opposing force of 100 N, while moving from a place x to a place y, where xy is 2 m. What is the energy of A at y?
The displacement x and time t for a particle are related to each other as \( t = \sqrt{x} + 3 \). What is work done in first 6 s of its motion?
A bullet is fired by a light rifle and the other with a heavy rifle by the same force. Which rifle will cause more injury to the shoulder?
A ball falls vertically on to a floor, with momentum \(p\), and then bounces repeatedly, the coefficient of restitution is \(e\). The total momentum imparted by the ball to the floor is:
A particle of mass m is projected with a velocity v at an angle of \(45^\circ\) with horizontal. When the particle is at its maximum height, the magnitude of its angular momentum about the point of projection is:
A 4 kg block A is placed on the top of a block B of mass 8 kg, which rests on a smooth table. A just slips on B when a force of 12 N is applied on A. Then, the maximum horizontal force required to make both A and B move together is:
A fireman weighing \(80\,\text{kg}\) slides down a pole. If the resisting force of friction is \(720\,\text{N}\), his acceleration would be: (take \( g = 10\,\text{m/s}^2 \))
A force of 5 N gives a mass \(M_1\) an acceleration equal to \(8 \, \text{m/s}^2\) and \(M_2\) an acceleration equal to \(24 \, \text{m/s}^2\). What is the acceleration, if both masses are tied together?
A particle p is moving in a circle of radius r with a uniform speed v, C is the centre of the circle and AB is the diameter. The angular velocity of p about A and C is in the ratio:
A simple spring has length L and force constant k. It is cut into two springs of lengths \( l_1 \) and \( l_2 \) such that \( l_1 = n l_2 \) (n = an integer). The force constant of spring of length \( l_1 \) is:
A point initially at rest moves along x-axis. Its acceleration varies with time as \( a = (6t + 5)\, \text{m/s}^2 \). If it starts from origin, the distance covered in 2 s is:
A particle is projected from the ground with an initial speed of u at an angle \( \theta \) with horizontal. The average velocity of the particle between its point of projection and highest point of trajectory is:
A particle of mass m is moving in a horizontal circle of radius R under the centripetal force \( = -\frac{k}{R^2} \) where k is a constant. What is the total energy of the particle?
The displacement of an oscillating particle is given by \( y = A \sin[Bx + Ct + Dt] \). The dimensional formula for \( [ABCD] \) is:
A cyclist moving on a circular track of radius 40 m completes half a revolution in 40 s. Its average velocity is: