Practice Test


Q1) Which of the following physical quantities is different from others ? Show Answer


Q2) SI units of moment of inertia are Show Answer


Q3) The dimensional formula for moment of inertia is Show Answer


Q4) Moment of inertia of a solid sphere about its diameter is (symbols have their usual meanings) Show Answer


Q5) The dimensional formula of angular acceleration is Show Answer


Q6) SI units of angular momentum are Show Answer


Q7) The dimensions of torque are Show Answer


Q8) The ratio of SI units to c.g.s. units of torque is Show Answer


Q9) Moment of inertia of a circular ring (mass m and radius r) about an axis passing through its centre of gravity and perpendicular to its plane is Show Answer


Q10) Radius of gyration is a scalar quantity measured in Show Answer


Q11) The ratio of SI units to c.g.s. units of angular momentum is Show Answer


Q12) A body of mass m tied to a string is moved in a vertical circle of radius r. The difference in tensions at the lowest point and the highest point is Show Answer


Q13) A car takes a turn around a circular curve. If it turns at double the speed,the tendency to overturn is Show Answer


Q14) The solar system is an example of Show Answer


Q15) Kinetic energy of rotation is measured in Show Answer


Q16) If the radius of the circular path of particle going around the circle is doubled without changing its frequency of rotation, then centripetal force on it is Show Answer


Q17) What happens to the centripetal acceleration of a particle, when its speed is doubled and angular velocity is halved ? Show Answer


Q18) For a particle moving along a circular path with a constant speed, the acceleration is constant in Show Answer


Q19) SI units of angular acceleration are Show Answer


Q20) Two satellites are going around the earth at a height of 250 km and 450 km respectively. If angular speed for both is same, then centripetal acceleration will be Show Answer


Q21) What is the minimum speed of a bike at the highest point of a globe of diameter 19.6 m ? Show Answer


Q22) A motor cyclist loops the loop whose diameter is 12 m. From what minimum height must he start in order to roll down and go around the loop ? Show Answer


Q23) The centre of mass of a rigid body may lie Show Answer


Q24) The unit of position vector of centre of mass is Show Answer


Q25) Two identical balls each of radius 20 cm are placed touching each other. Then the distance of their centre of mass from the point of contact is Show Answer


Q26) A shell at rest explodes. The centre of mass of the fragments Show Answer


Q27) A shell following a parabolic path explodes somewhere in its flight. The centre of mass of fragments will continue to move in Show Answer


Q28) A system comprises three particles, each of mass M and located at (1,1), (2,2) and (3,3). Then the co-ordinates of the centre of mass are Show Answer


Q29) Two particles P and Q initially at rest move towards each other under a mutual force of attraction. At the instant when velocity of P is v and that of Q is 2v, the velocity of centre of mass of the system is Show Answer


Q30) The sum of moments of masses of all the particles in a system about the centre of mass is always Show Answer


Q31) The motion of the centre of mass depends on Show Answer


Q32) The centre of mass of two particles lies on the line Show Answer


Q33) The position of centre of mass of a system of particles does not depend upon Show Answer


Q34) The moment of inertia of a body depends on its Show Answer


Q35) Radius of gyration of a body is independent of its Show Answer


Q36) The reduced mass of the system of two particles of masses m and 2m will be Show Answer


Q37) If the position of axis of rotation of a body is changed, which of the following quantities will change ? Show Answer


Q38) Which of the following plays the same role in rotational motion as it played by the mass in translatory motion ? Show Answer


Q39) The diameter of a flywheel is increased by 2%. Then increase in its moment of inertia about the central axis is Show Answer


Q40) Moment of inertia of a solid sphere about an axis tangential to its surface is (symbols have their usual meanings) Show Answer


Q41) Before jumping into water from above, a swimmer bends his body to Show Answer


Q42) Assertion:
The centre of mass of a body may lie where there is no mass.
Reason :
The centre of mass of a body is a point, where the whole mass of the body is supposed to be concentrated. Show Answer


Q43) Assertion :
Moment of inertia of a body is same, whatever be the axis of rotation.
Reason :
Moment of inertia depends on mass and size of the body. Show Answer


Q44) Assertion :
Power associated with torque is product of torque and angular speed of the body about the axis of rotation.
Reason :
It is rotational analogue of power in translatory motion. Show Answer


Q45) In order to rotate a bar pivoted at its mid point, we need to apply : Show Answer


Q46) A body is acted upon by two unequal forces in opposite directions, but not in one line. The effect is that : Show Answer


Q47) When a boy weighing 20 kgf sits at one end of a 4 m long see-saw, it gets depressed at this end. It can be brought to the horizontal position if a man weighing 40 kgf sits at : Show Answer


Q48) The moment of a force about a given axis depends : Show Answer


Q49) The unit of moment of force is : Show Answer


Q50) Which of the following is not the force at a distance : Show Answer


Q51) Relationship between kgf and N is : Show Answer


Q52) Which of the following appliances works on the principle of moments : Show Answer


Q53) SI unit of couple is Show Answer


Q54) The moment of the forces about O is Show Answer


Q55) Which of the following is different from others, as regards the centre of gravity ? Show Answer


Q56) Which of the following is different from others, as regards the centre of gravity ? Show Answer


Q57) For a particle moving along a circular path with a constant speed, the acceleration is constant in Show Answer


Q58) A body moves along a circular path of constant radius. The magnitude of its acceleration is Show Answer


Q59) A couple produces Show Answer


Q60) A rigid body is rotating about an axis. To stop the rotation, we have to apply Show Answer


Q61) The product of force and perpendicular distance from axis of rotation, is commonly called Show Answer


Q62) SI unit of couple is Show Answer


Q63) What is the conserved when no external torque acts on a system ? Show Answer


Q64) A constant torque acting on a uniform circular wheel changes its angular momentum from A to 4A in 4 seconds. The magnitude of the torque is Show Answer


Q65) A person standing on a rotating platform with his hands lowered out stretches his arms. The angular momentum of the person Show Answer


Q66) A body is moving with constant velocity parallel to x-axis. its angular momentum with respect to the origin will Show Answer


Q67) An engine develops 100 kW when rotating at 1800 rpm. Torque required to deliver the power is Show Answer


Q68) When sand is poured on a rotating disc, its angular velocity will Show Answer


Q69) Before jumping in water from above, a swimmer bends his body to Show Answer


Q70) A sphere is suspended by a thread of length L. The minimum horizontal velocity which has to be imparted to the sphere for it to reach the height of suspension is Show Answer


Q71) Which of the following wrongly represents the position of centre of gravity of the given objects ? Show Answer


Q72) Which of the following wrongly represents the position of centrre of gravity of the given objects ? Show Answer


Q73) For a constant mass, the graph between moment of inertia (I) and radius of gyration (K) is given Show Answer


Q74) Refer to Question 20 above, the graph between log I and log K is given by Show Answer


Q75) The figure below shows the position of centre of gravity by the point G for a circular ring, circular disc, rectangle and a parallelogram. Which one is different from other ? Show Answer


Q76) A thin disc and a thin ring, both have mass M and radius R. Both rotate about axes through their centre of mass and are perpendicular to their surfaces at the same angular velocity. Which one of the following statements is correct?


Show Answer


Q77) A solid disc and a solid sphere have the same mass and same radius. Which one has the higher moment of inertia about its centre of mass?
Show Answer


Q78) A person is unable to read a newspaper without his glasses. He is most probably suffering from
Show Answer


Q79) A person stands on his two feet over a surface and experiences a pressure p. Now, the person stands on only one foot. He would experience a pressure of magnitude: Show Answer