Free NEET Physics multiple-choice questions on Dynamics of Circular Motion. Attempt each question and reveal the answer with a full explanation.
A particle of mass m is moving in a horizontal circle of radius r with a constant speed v . Which of the following remains constant? Kinetic energy Velocity Linear momentum Centripetal acceleration A point mass m is moving in a vertical circle of radius R . The minimum velocity required at the top of the circle to maintain the circular path is: gR 2gR 3gR 5gR A particle of mass m is moving in a circular path of radius r with a constant speed v . The work done by the centripetal force during half a revolution is: Zero mv 2 r 2mv 2 mv 2/r The coefficient of static friction between the tires and the road is 0.5 . The maximum speed with which a car can take a turn of radius 40 m on a level road without skidding is: ( g = 10 m/s 2 ) 14.1 m/s 20 m/s 10 m/s 15 m/s A particle of mass m is tied to a string and whirled in a horizontal circle. The work done by the tension in the string in one complete revolution is: Zero 2 r T m v 2 r r T Which of the following is the correct expression for the centripetal force acting on a particle of mass m moving in a circle of radius r with velocity v ? mv 2/r mvr mr/v 2 mv/r 2 A car is negotiating a banked road of radius R and banking angle . The speed at which there is no side-thrust (no friction required) on the tires is: Rg Rg / Rg Rg The difference in tension at the lowest and highest points of a vertical circular motion for a mass m tied to a string is: 6mg 3mg 4mg 2mg A car is moving with a constant speed v on a track. At which point is the normal reaction maximum? The bottom of a concave valley. The top of a convex hill. A flat horizontal road. It is the same everywhere. The minimum speed required for a car to negotiate a banked road of radius R , inclination , and coefficient of friction without sliding down is: Rg - 1 + Rg + 1 - Rg Rg A string of length l is fixed at one end and carries a mass m at the other. The string makes a conical pendulum revolving in a horizontal circle with an angular velocity . The tension in the string is: ml 2 mg / m 2 l mg The work done by a centripetal force in a uniform circular motion is: Zero Always positive Always negative Dependent on the radius A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a c is varying with time t as a c = k 2 r t 2 . The tangential force acting on the particle is: mkr mkrt m k 2 r t 0 A particle of mass m is moving in a vertical circle of radius R . When the string is horizontal, the tension in the string is: mv 2 R mv 2 R + mg mv 2 R - mg ( mv 2 R ) 2 + (mg) 2 The maximum speed with which a car can take a turn of radius 30 m on a banked road of 45 inclination without the help of friction is: ( g = 10 m/s 2 ) 17.3 m/s 30 m/s 10 m/s 14.1 m/s A particle moves in a circular path of radius 0.4 m with a constant speed. If it makes 5 revolutions in 2 seconds, the acceleration of the particle is: 10 2 m/s 2 5 2 m/s 2 20 2 m/s 2 40 2 m/s 2 A car is moving on a circular path of radius R . The speed of the car is increasing at a constant rate a t . The net acceleration of the car at any time t is: a t 2 + (v 2/R) 2 v 2/R a t a t + v 2/R A mass of 100 g is tied to one end of a 2 m long string and whirled in a horizontal circle. If the maximum tension the string can withstand is 50 N, the maximum angular velocity possible is: 5 rad/s 25 rad/s 15.8 rad/s 10 rad/s A particle moves in a circle of radius 5 cm with constant speed and time period 0.2 s. The acceleration of the particle is: 5 m/s 2 15 m/s 2 25 m/s 2 36 m/s 2 A car is negotiating a curved road of radius R . The road is banked at an angle . The coefficient of friction between the tyres of the car and the road is s . The maximum safe velocity on this road is: gR s + 1 - s gR 2 s + 1 - s gR s + 1 + s g R s + 1 - s A block of mass 10 kg is in contact against the inner wall of a hollow cylindrical drum of radius 1 m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1 . The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis will be: ( g = 10 m/s 2 ) 10 rad/s 10 rad/s 10 rad/s 2 rad/s A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45 , the speed of the car is: 30 m/s 20 m/s 10 m/s 5 m/s A gramophone record is rotating with an angular velocity . A coin is placed at a distance r from the centre of the record. The static coefficient of friction is . The coin will revolve with the record if: r g / 2 r g / 2 r = g / 2 r 2 / g If the string of a conical pendulum of length l makes an angle with the vertical, the tension in the string is: mg / mg mg mg / A car of mass 1000 kg is moving on a flat circular track of radius 100 m. If the coefficient of static friction is 0.4 , the maximum speed the car can achieve without skidding is: ( g = 10 m/s 2 ) 20 m/s 40 m/s 10 m/s 15 m/s A car is moving with a speed of 30 m/s on a circular track of radius 500 m. Its speed is increasing at the rate of 2 m/s 2 . The magnitude of its acceleration is: 2.7 m/s 2 2 m/s 2 1.8 m/s 2 3.8 m/s 2 A small block is shot into each of the four tracks as shown below. Each track rises to the same height. The speed with which the block enters the track is the same in all cases. In which case is the normal force maximum at the highest point? The track with the smallest radius of curvature at the top The track with the largest radius of curvature at the top The track which is a straight line incline It is the same for all A particle of mass m is moving in a circular path of radius r with a constant speed v . The magnitude of the change in momentum when the particle travels through an angle of 90 is: 2 mv mv 2mv 0 A motor car is traveling at 30 m/s on a circular road of radius 500 m. It is increasing its speed at the rate of 2 m/s 2 . The net acceleration is: 2.7 m/s 2 2 m/s 2 1.8 m/s 2 3.8 m/s 2 A satellite in a circular orbit around the earth has a kinetic energy E k . What is the minimum additional kinetic energy that must be given to it so that it escapes from the earth? E k 2E k E k/2 2 E k A particle of mass m is moving in a circle of radius r such that its centripetal acceleration is a c = k 2 r t 2 , where k is a constant. The power delivered to the particle by the forces acting on it is: mk 2 r 2 t mk 2 r t 2 1 2 mk 2 r 2 t 2 0 When a car takes a turn on a flat road, it may overturn. The maximum speed to avoid overturning is ( a is half-width of car, h is height of CG, R is radius): gRa/h gRh/a gR gR A car travels on a circular racetrack of radius 50 m, which is banked at an angle . If the car travels at a speed 10 ms -1 , then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be 10 ms -2 , the value of is: -1 ( 1 5 ) -1 ( 2 5 ) -1 ( 3 /2) -1 (2 3 ) The tension in the string of a simple pendulum is maximum at: The lowest point of the oscillation The extreme positions The mid-point between mean and extreme position It remains constant throughout A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when: the mass is at the lowest point the wire is horizontal the mass is at the highest point the wire is at an angle of 60 to vertical A cyclist bending at an angle from the vertical while negotiating a curve of radius r with velocity v is given by the relation: = v 2 / (rg) = rg / v 2 = v 2 / (rg) = v 2 / (rg) A point mass m is suspended from a ceiling by a light thread of length l . The mass is given a horizontal velocity v 0 at the lowest point. What is the minimum v 0 so that the mass completes a full vertical circle? 5gl 3gl 4gl g/l A car of mass m is moving on a level circular track of radius R . If s represents the coefficient of static friction between the road and tyres, the maximum speed of the car in circular motion is given by: s Rg s / Rg Rg / s s Rg A particle of mass M is moving in a horizontal circle of radius R with uniform speed v . When it moves from one point to a diametrically opposite point, its momentum changes by: 2Mv Mv 2 Mv Zero