Circular Motion Questions and Answers

H A body of mass m rests on a horizontal floor with which it has a coefficient of static friction It is desired to make the body move by applying the minimum possible force F Find the magnitude of F and the direction in which it has to be applied

A body revolves with constant speed v in a circular path of radius r the magnitude of its average acceleration during motion between two points in diametrically opposite direction is A Zero B C v E 3 2v r Correct Answer

A cyclist riding the bicycle at a speed of 14 3ms 1 takes a turn around a circular road of radius 20 3m without skidding Given g 9 8 ms 2 what is his inclination to the vertical 1 30 2 90 3 45 4 60

A particle of mass m attached to the end of string of length I is released from the horizontal position The particle rotates in a circle about O as shown When it is vertically below O the string makes contact with a nail N placed directly below O at a distance h and rotates around it For he particle to swing completely around the nail in a circle

For the given situation find tension T at point P in string Particle is moving in vertical circular motion 1 2 50 N 530 T 66 N R 1m Question Type Single Correct Type 37 10m s 1 kg

10 A particle is revolving in a circle of radius R with initial WORK speed v It starts retarding with constant retardation 4TR Hlaing The number of revolutions it makes before coming to rest is 1 1 3 4 27 2 3 4 none of these

Q5 A particle P is moving in a circle of radius a with a uniform speed v C is the centre of the circle and AB is a diameter When passing through B the angular velocity of P about A and C are in the ratio a 1 1 b 1 2 c 2 1 a 4 1

A particle is revolving in a circular path with increasing speed then angle 0 between the net force acting on the particle and centripetal force acting on the particle will be 0 0 90 8 90 0 0 0 180

Keeping the banking angle of the road constant the maximum safe speed of passing vehicles is to be increased by 10 The radius of curvature of the road will have to be changed from 20 m to Question Type Single Correct Type 1 16 m 2 18 m 3 24 20 m

equal masses m one secured at lower end A and the other at the middle of the rod at B The rod can rotate in verticle plane about a fixed horizontal axis passing through C What horizontal velocity must be imparted to the mass at A so that it just completes the vertical circle C l BOm

4 15 4 2 9 1 3 10 5 A Carnot engine whose efficiency is 40 takes in heat from a source maintained at a temperature of 500K It is desired to have an engine of efficiency 60 Then the intake temperature for the same exhaust sink temperature must be AIEEE 2012 1 efficiency of carnot engine cannot be made larger than 50 2 1200 K 3 750 K 4 600 K 500 125 1 0 4 340 B 22

A rod is rotating with an angular velocity of 3rt rad s The angle rotated by the rod from t 0 t time when it has an angular velocity of 24 rad s is given by a radian Fill in OMR sheet 2 a

A person at the origin O starts moving with a constant speed v along y axis At the same instant a particle of mass m starts from point P with a uniform speed v along a circular path of radius R as shown in figure Find the momentum of the particle with respect to the person as a function of time t m

A thin rod of mass m and length 1 is hinged at a point which is at a distance h h 1 above the horizontal surface The rod is released from rest from the horizontal position If e is the co efficient of restitution the angular velocity of rod just after collision will be h 1 m 1 2 m e 1 Option A B C 3 3g 8 6 3g 8 5 3g 8 h Rate this quest

A uniform rod of mass M and length L lies radially on a disc rotating with angular speed in a horizontal plane about its axis The rod does not slip on the disc and the centre of the rod is at a distance R from the centre of the disc Then the kinetic energy of the rod is Mo R m mo R Omo 2 24 12 None of these

Particle of mass 1 kg moving with constant speed 5 m s on a frictionless road as shown in figure Normal reaction by road on car NA NB at position A and B Radius of curvature at position A and B is same Sum of magnitude of normal at these position is 10 a in N Then the value of a is A B