Rotational Motion Mock Test (Physics) MHT CET 2022

In Uniform Circular Motion

Two particles of equal masses are revolving in circular paths of radii r1 and r2 respectively with the same speed. The ratio of centripetal forces is

The safety speed of a vehicle on a curve horizontal road is

A racing car of mass 10²  kg goes around a circular track (horizontal)  of radius 10m. The maximum thrust  track that can withstand is 10^5 N . The maximum speed with which car can go around is

Radius of gyration of a disc rotating about a tangent in its plane is

M.I of a thin uniform circular disc about one of the diameters is I. Its M.I about an axis perpendicular to the plane of disc and passing through its centre is

A Uniform stick of length l and mass m lies on a smooth table. It rotates with angular velocity ω about an axis perpendicular to the table and through one end of stick. The angular momentum of the stick about the end is

A particle of mass M and radius of gyration K is rotating with angular acceleration α. The torque acting on particle is

Angular speed of hour hand of a clock in degree per second is _

The difference between angular speed of minute hand and second hand of clock is

The angular separation between the minute hand and the hour hand of a clock at 12:20 pm is

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that they make complete circles in same time t . The ratio of centripetal acceleration is

Which of the following statements is false ?

Centripetal force and centrifugal force is

One end of string of length l is connected to a particle of mass ‘m’  and the other end is connected to small peg on a smooth horizontal table. If the particle moves in circle with speed ‘v’ . the net force on particle (directed towards centre) will be (T represents the tension in string)

A coin is placed on a rotating turn table rotated with angular speed ω. The coin just slips if it is placed at 4cm from the center of table. If the angular velocity is doubled, at what distance will coin starts to slip

Two particles A and B are moving in uniform circular motion in concentric circles of radii rA and rB with speed vA and vB respectively . Their time period of rotation is the same. The ratio of angular speeds of A to that of B will be

A car is negotiating a curved road of radius R. The road is banked at an angle is Θ. The coefficient of friction between the tyres of the car and road is µ(s) . The maximum safe velocity on ground will be

For a particle moving in vertical circle, the total energy at different positions along the path

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can be complete the loop?

A uniform cylinder has length ‘L’ and radius ‘R’ . The moment of inertia of the cylinder about an axis passing through its centre and perpendicular to its length is equal to moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its circular face. The relation between ‘L’ and ‘R’ is

The radius of gyration of a uniform rod of length l about an axis passing through a point l/4 away from the centre of the rod and perpendicular to to it is

A rope is wound around a hollow cylinder of mass 3kg and radius 40cm . What is angular acceleration of cylinder if the rope is pulled with force of 30N?

A disc has mass ‘M’ and radius ‘R’ . How much tangential force should be applied to the rim of the disc so as to rotate with angular velocity ω in time t ?

A wheel of moment of inertia 2kgm² is rotating about an axis passing through centre and perpendicular to its plane at a speed s60rad/s. Due to friction, it comes to rest in 5 minutes. The angular momentum of the wheel three minutes before it stops rotating is

When ‘W’ joule of work done on a flywheel . its frequency of rotation increases from n1 Hz to n2 Hz . The M.I of flywheel about its axis of rotation is given by

A solid cylinder of mass 2kg and radius 4cm is rotating about its axis at the rate of 3 rpm . The torque required to stop after 2π revolutions is

A particle is moving in a circular path of radius a under the action of an attractive potential  U = -k/2r² . Its total energy is

For increasing the angular velocity of a object by 10%, the kinetic energy has to be increased by