Circular Motion Questions

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

A uniform circular disc of radius 50 cm at rest is free to tum about an axis which is perpendicular to its planeand passes through its centre. It is subjected to a torque which produces a constant ang...

Which of the following quantities may remain constant during the motion of an object along a curved path :

A machine, in an amusement park, consists of a cage at the end of one arm, hinged at O. The cage revolves along a vertical circle of radius r (ABCDEFGH) about its hinge O, at constant linear speed v =...

Two cars of masses m1 and m2 are moving incircles of radii r1 and r2, respectively. Theirspeeds are such that they make complete circlesin the same time t. The ratio of their centripetalacceleration i...

A car of mass m is moving on a level circular track of radius R. If μs represents the static frictionbetween the road and tyres of the car, the maximum speed of the car in circular motion is give...

A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the bankingangle is 45o, the speed of the car is

A particle moves in a circle of radius 5 cm with constant speed and time periof 0.2 π s. The accleration of the particle is

For a particle in uniform circular motion the acceleration at a point P(R, θ ) on the circle of radius R is (here θ is measured from the x-axis)...

A gramphone record is revolving with an angular velocity ω coin is placed at a distance r from the centre of the record. The static coefficient of friction is μ. The coin will revolve with t...

A ship of mass × 107 kg initialy at rest, is pulled by a force of 5 × 104 N through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the ship is...

A block of mass 2 kg on a rough inclined plane making an angle of 30o with horizontal. The coefficient of static friction between the block and the plane is 0.7. The frictional force on the block is...

During paddling of a bicycle, the force of friction exerted by the ground on the two wheels it such that is 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 by the rod with the ver...

A block of mass 0.1 kg is held against a wall applying a horizontal force of 5 N on the block. If the coefficient of friction between the block and the wall is 0.5, the magnitude of the frctional forc...

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 ac...

A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest...

An insect crawls up a hemishperical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is 1/3. If the line joinging of the center of the hemispherical...

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

The pulleys and string in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle θ should be...