List of top Physics Questions on System of Particles & Rotational Motion asked in TS EAMCET

A steel solid sphere of diameter \(2\) cm collides head-on elastically with another steel solid sphere of radius \(2\) cm at rest. The fraction of the initial kinetic energy of the smaller sphere transferred to the larger sphere during collision is
Two solid spheres of radii \(10\) cm and \(5\) cm are in contact with each other. If the density of the material of the smaller sphere is twice the density of the material of the larger sphere, then the distance of the centre of mass of the system from the centre of the smaller sphere is
If a solid sphere of mass \(2\) kg is rolling without slipping on a surface with a velocity of \[ 10\ \mathrm{ms^{-1}}, \] then the total kinetic energy of the sphere is
Two brass spheres approaching each other with the same speed collide head-on elastically. After collision, if one of the spheres of radius \(R\) comes to rest, then the radius of the other sphere is:
The shift (in metre) in centre of mass when the largest possible equilateral triangular plate is removed from a uniform square plate of side \(2\,m\) with one of their sides coinciding is:
A uniform thin circular disc of mass \(M\) and radius \(R\) is shown in the figure. The moment of inertia of the shaded region about the diameter AB of the disc is:
A ball P in motion collides with another ball Q of same mass at rest. If the coefficient of restitution between the two balls is 0.2, then the ratio of the velocities of the two balls P and Q after collision is:
A body P of mass 3 kg at rest is dropped from a height of 250 m. At the same moment another body Q of mass 2 kg is thrown vertically upwards with velocity $50\text{ m s}^{-1}$. Both move along same line. The velocity of Q when centre of mass reaches maximum height is: (g = $10\text{ m s}^{-2}$)}
If the kinetic energy of a solid sphere when it rolls without slipping is 700 J, then its kinetic energy when it slips without rolling with same velocity is:
A block slides down a \(30^\circ\) inclined plane. Coefficient of friction on upper half is \[ \mu_1=\frac{1}{2\sqrt3} \] and on lower half is \[ \mu_2=\frac{1}{4\sqrt3} \] Find ratio of velocities at midpoint and bottom.
A body is thrown vertically upwards from earth with velocity \(60\text{ ms}^{-1}\). The ratio of displacements during first, second and third seconds is (\(g=10\text{ ms}^{-2}\))
If minimum velocity of a projectile is \(15\text{ ms}^{-1}\) and maximum height reached is \(20\text{ m}\), then velocity of projection is (\(g=10\text{ ms}^{-2}\))
If the length of a thin uniform rod is 'L' and the radius of gyration of the rod about an axis perpendicular to its length and passing through one end is K, then K:L=
A solid sphere of mass 2 kg and radius 0.5 m is rolling without slipping on a horizontal surface. The ratio of the rotational and translational kinetic energies of the sphere is
A body of mass 0.5 kg is supplied with a power 'P' (in watt) which varies with time 't' (in second) as $P=3t^2+3$. If the velocity of the body at time t=0 is zero, then the velocity of the body at time t=3s is
The ratio of radii of gyration of a thin circular ring and a circular disc of same radius about a tangential axis in their own planes is $\sqrt{12}:\sqrt{K}$. The value of K is
A balance is made using a uniform metre scale of mass 100 g and two plates each of mass 200 g fixed at the two ends of the scale and the balance is pivoted at 45 cm mark of the scale. The error when 300 g weight is placed in the plate at 0 cm to weigh vegetables placed in the plate at 100 cm is
Due to the presence of air resistance, if a body dropped from a height of 20 m reaches the ground with a speed of 18ms$^{-1}$, then the time taken by the body to reach the ground is nearly
A solid cylinder of mass 2 kg, length 40 cm and radius 10 cm is placed in contact with a solid sphere of mass 0.5 kg and radius 10 cm such that the centres of the two bodies lie along the geometrical axis of the cylinder. The distance of the centre of mass of the system of two bodies from the centre of the sphere is
A thin uniform circular disc of mass \(\frac{10}{\pi^2}\) kg and radius 2 m is rotating about an axis passing through its centre and perpendicular to its plane. The work done to increase the angular speed of the disc from 90 rev/min to 120 rev/min is
A body of mass 'm' moving with a velocity of 'v' collides head on with another body of mass '2m' at rest. If the coefficient of restitution between the two bodies is 'e', then the ratio of the velocities of the two bodies after collision is
A ball moves one-fourth $\left(\frac{1^{\text {th }}}{4}\right)$ of a circle of radius $R$ in time $T$. Let $v_{1}$ and $v_{2}$ be the magnitudes of mean speed and mean velocity vector. The ratio $\frac{v_{1}}{v_{2}}$ will be
A rocket motor consumes $100\, kg$ of fuel per second exhausting it with a speed of $5 \,km / s$. The speed of the rocket when its mass is reduced to $\frac{1^{\text {th }}}{20}$ of its initial mass, is (Assume initial speed to be zero and ignored gravitational and viscous forces.)
A solid sphere of mass $5\, kg$ rolls on a plane surfaces. Find its kinetic energy at an instant when its centre moves with speed $4 \,m / s$.