List of top Physics Questions on Mechanics asked in TS EAMCET

A liquid of density \(800\,\text{kg m}^{-3}\) rises \(4\,\text{cm}\) in a capillary tube of inner radius \(0.2\,\text{mm}\). The capillary tube is dipped vertically in the liquid and the angle of contact between the capillary tube and the liquid is \(0^\circ\). The excess pressure inside the spherical drop of diameter \(2\,\text{cm}\) of the same liquid is \[ (\text{Acceleration due to gravity}=10\,\text{m s}^{-2}) \]

Four particles \(P,Q,R\) and \(S\) of masses \(m,m,m\) and \(2m\) respectively are kept at the four corners of a square of side \(\sqrt{2}\,\text{m}\). The distance of the centre of mass of the system of particles from the particle \(S\) is

Two particles \(A\) and \(B\) are executing simple harmonic motion with amplitudes \(10\,\text{cm}\) and \(20\,\text{cm}\) respectively. If the time periods of two particles \(A\) and \(B\) are \(8\,\text{s}\) and \(12\,\text{s}\) respectively, then the ratio of the times taken by the particles \(A\) and \(B\) to complete \(\dfrac18^{\text{th}}\) oscillation starting from their extreme positions is

The energy required to project a body of mass \(2\,\text{kg}\) so that it escapes from the gravitational influence of the earth is \[ (\text{Acceleration due to gravity on the surface of the earth}=10\,\text{m s}^{-2}\text{ and the radius of the earth}=6400\,\text{km}) \]

A wire of length \(L\) and mass \(100\,\text{g}\) is bent in the form of a circular ring. If the moment of inertia of the ring about its diameter is \[ 98\times10^{-5}\,\text{kg m}^2, \] then the value of \(L\) is

When a load is attached at the midpoint of a steel bar A of length \(80\,\text{cm}\), breadth \(2.5\,\text{cm}\) and thickness \(2\,\text{mm}\), it sags by \(1.2\,\text{mm}\). If the same load is attached at the midpoint of another steel bar B of length \(120\,\text{cm}\), breadth \(3\,\text{cm}\) and thickness \(3\,\text{mm}\), then the bar B sags by \[ (\text{In both the cases, the bars are supported at the two ends}) \]

If the apparent weight of a cube of mass \(400\,\text{g}\) immersed in water is \(3.36\,\text{N}\), then the density of the material of the cube (in \(\text{kg m}^{-3}\)) is \[ (\text{Acceleration due to gravity}=10\,\text{m s}^{-2}) \]

For a body thrown vertically upwards from the ground, if the time interval between the two instants when the body is at a height of \(60\,\text{m}\) is \(4\,\text{s}\), then the maximum height reached by the body is \[ (\text{Acceleration due to gravity}=10\,\text{m s}^{-2}) \]

A stone of mass \(10\,\text{g}\) is attached to a string of length \(80\,\text{cm}\) and is rotated in a horizontal circle at a height of \(h\) from the ground with a centripetal acceleration of \(125\,\text{m s}^{-2}\). At a moment the string breaks and the stone strikes the ground at a horizontal distance of \(10\,\text{m}\). Then the value of \(h\) is \[ (\text{Acceleration due to gravity}=10\,\text{m s}^{-2}) \]

A block slides down a rough inclined plane with a constant velocity \(9.8\,\text{m s}^{-1}\). The coefficient of kinetic friction between the block and the surface is \(\dfrac1{\sqrt3}\). If the block is pushed up along the inclined plane from the bottom with a velocity \(9.8\,\text{m s}^{-1}\), then the distance travelled by the block before coming to rest is

The force acting on a particle in the \(x\)-direction is \[ (3+2x)\ \text{N}, \] where \(x\) is the displacement of the particle in metre. The work done in displacing the particle from \[ x=1.5\ \text{m} \text{ to } x=3.5\ \text{m} \] is

A ball of mass \(5\,\text{kg}\) moving with a kinetic energy of \(90\,\text{J}\) collides head-on with another ball of mass \(4\,\text{kg}\) at rest. If the relative velocity of separation between the two balls after collision is \(3\,\text{m s}^{-1}\), then the loss of kinetic energy due to the collision is

A body is at a point \(P\), at some height above the surface of a planet of mass \(M\) and radius \(R\). If the potential energy of the body at point \(P\) is half of its potential energy on the surface of the planet, then the difference between the escape velocity of the body from point \(P\) and its escape velocity from the surface of the planet is \[ (G=\text{Universal Gravitational Constant}) \]

A solid sphere and a thin uniform circular disc of same radius are rolling down an inclined plane without slipping. If the acceleration of the sphere is 3 ms\(^{-2}\), then the acceleration of the disc is

A thin uniform wire of mass 'm' and linear density '\(\rho\)' is bent in the form of a circular ring. The moment of inertia of the ring about a tangent parallel to its diameter is

A ball is allowed to fall freely from a height of 42 m from the ground. If the coefficient of restitution between the ball and the ground is 0.4, then the total distance travelled by the ball before it comes to rest is

A circular path of radius 75 m is banked at an angle of \(\tan^{-1}(0.2)\). If the coefficient of static friction between the tyres of the car and the circular path is 0.1, then the maximum permissible speed of the car to avoid slipping is

A body projected vertically up with an initial speed of $10\text{ ms}^{-1}$ reaches the point of projection after sometime with a speed of $8\text{ ms}^{-1}$. The maximum height reached by the body is (Acceleration due to gravity $= 10\text{ ms}^{-2}$)

For which of the following Reynold's number, a flow is streamlined?

Water is filled in a tank up to a height of 20 cm from the bottom of the tank. Water flows through a hole of area $1\text{ mm}^2$ at its bottom. The mass of the water coming out from the hole in a time of 0.6 s is
(Density of water $= 1000\text{ kg m}^{-3}$ and acceleration due to gravity $= 10\text{ ms}^{-2}$)

Two wires A and B made of same material and areas of cross-section in the ratio $1:2$ are stretched by same force. If the masses of the wires A and B are in the ratio $2:3$, then the ratio of the elongations of the wires A and B is

The ratio of the time periods of a simple pendulum at heights $2R_E$ and $3R_E$ from the surface of the earth is ($R_E$ is radius of the earth)

A particle is executing simple harmonic motion. If the force acting on the particle at a position is 86.6% of the maximum force on it, then the ratio of its velocity at that point and its maximum velocity is

If the moment of inertia of a thin circular ring about an axis passing through its edge and perpendicular to its plane is I, then the moment of inertia of the ring about its diameter is

Due to global warming, if the ice in the polar region melts and some of this water flows to the equatorial region, then