JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 2 - MCQExams.com

Two rings of radius R and nR made up of same material have the ratio of moment of inertia about an axis passing through centre is 1 : 8. The value of n is
  • 2
  • 2√2
  • 4

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Four balls each of radius 10 cm and mass 1 kg, 2 kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate ?
  • 12.04 kg – m2
  • 10.04 kg – m2
  • 11.50 kg – m2
  • 5.04 kg – m2
By keeping moment of inertia of a body constant. If we double the time period, then angular momentum of body
  • quadruples
  • remains constant
  • becomes half
  • doubles
A wheel is rotating with an angular speed of 20 rad/s. It is stopped to rest by applying a constant torque in 4 s. If the moment of inertia of the wheel about its axis is 0.20 kg – m2, then the work done by the torque in 2s will be
  • 10 J
  • 20 J
  • 30 J
  • 40 J
A particle is moving in a circle with uniform speed v. In moving from a point to another diametrically opposite point
  • the momentum changes by mv
  • the momentum changes by 2mv
  • the kinetic energy changes by (1/mv2
  • the kinetic energy changed by mv2

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    Physics-Systems of Particles and Rotational Motion-88670.png

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Which relation is not correct of the following?
  • Torque = moment of inertia x angular acceleration
  • Torque = dipole moment x magnetic induction
  • Moment of inertia = torque/angular acceleration
  • Linear momentum = moment of inertia x angular velocity
A wheel of moment of inertia 2.5 kg–m2 has an initial angular velocity of 40 rad s -1. A constant torque of 10 N-m acts on the wheel. The time during which the wheel is accelerated to 60 rad s -1 is
  • 4 s
  • 6 s
  • 5 s
  • 2.5 s
  • 4.5 s
A particle is moving in the x–y plane with a constant velocity along a line parallel to the x–axis away from the origin. The magnitude of its angular momentum about the origin
  • is zero
  • remains constant
  • goes on increasing
  • goes on decreasing
If the torque of the rotational motion will be zero, then the constant quantity will be
  • angular momentum
  • linear momentum
  • angular acceleration
  • centripetal acceleration
Assertion (A) The angular momentum under a central force is constant.
Reason (R) Inverse square law of force is conservative.
  • Both A and R are correct and R is the correct explanation of A
  • Both A and R are true and R is not a correct explanation of A
  • A is true but R is false
  • A is false but R is true
A door 1.6 m wide requires a force of 1 N to be applied at the free end to open or close it. The force that is required at a point 0.4 m distance from the hinges for opening or closing the door is
  • 1.2 N
  • 3.6 N
  • 2.4 N
  • 4 N
If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take
  • 96 h
  • 48 h
  • 6 h
  • 1.5 h
A solid sphere is rotating in free space. If the radius of sphere is increased keeping mass same which one of the following will not be affected ?
  • Angular velocity
  • Angular momentum
  • Moment of inertia
  • Rotational kinetic energy
A constant torque acting on a uniform circular wheel changes its angular momentum from A0 to 4 A0 in 4 s. The magnitude of this torque is

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    Physics-Systems of Particles and Rotational Motion-88681.png

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A particle is projected with a speed v at 45° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection, when the particle is at its maximum height h is
  • zero
  • 2)
    Physics-Systems of Particles and Rotational Motion-88685.png

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Angular momentum of the particle rotating with a central force is constant due to
  • constant force
  • constant linear momentum
  • zero torque
  • constant torque
A mass m is moving with a constant velocity along a line parallel to x–axis. Its angular momentum with respect to origin on z–axis is
  • zero
  • remains constant
  • goes on increasing
  • goes on decreasing
A couple produces
  • no motion
  • linear and rotational motion
  • purely rotational motion
  • purely linear motion
A force of 200 N acts tangentially on the rim of a wheel 25 cm in radius. Find the torque
  • 50 N – m
  • 150 N – m
  • 75 N – m
  • 39 N – m
When the distance between the earth and sun is halved, the duration of year will become
  • more
  • less
  • cannot be determined
  • None of these
A stone of mass m tied to a string of length 1 is rotating along a circular path with constant speed v. The torque on the stone is

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    Physics-Systems of Particles and Rotational Motion-88693.png

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  • zero
What is moment of inertia in terms of angular momentum (L) and kinetic energy (K)?

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    Physics-Systems of Particles and Rotational Motion-88697.png

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A disc of mass 2 kg and radius 0.2 m is rotating with angular velocity 30 rad s -1 . What is angular velocity, if a mass of 0.25 kg is put on periphery of the disc?
  • 24 rad s -1
  • 36 rad s -1
  • 15 rad s -1
  • 26 rad s -1
A disc of moment of inertia 5 kg–m2 is acted upon by a constant torque of 40 N–m. Starting from rest the time taken by it to acquire an angular velocity of 24 rad s -1 is
  • 3 s
  • 4 s
  • 2.5 s
  • 120 s
A body having a moment of inertia about its axis of rotation equal to 3 kg – m2 is rotating with angular velocity of 3 rad s -1. Kinetic energy of this rotating body is same as that of a body of mass 27 kg moving with a velocity v. The value of v is
  • 1 ms -1
  • 0.5 ms -1
  • 2 ms -1
  • 1.5 ms -1
A solid sphere is given a kinetic energy E. What fraction of kinetic energy is associated with rotation ?
  • 3/7
  • 5/7
  • 1/2
  • 2/7
A body is rotating with angular velocity 30 rad S-1. If its kinetic energy is 360 J, then its moment of inertia is
  • 0.8 kg–m2
  • 0.4 kg–m2
  • 1 kg–m2
  • 1.2 kg–m2
The moments of inertia of two freely rotating bodies A and B are IA and IB respectively. IA > IB and their angular momentum are equal. If KAand KB are their kinetic energies, then
  • KA = KB
  • KA ≠ KB
  • KA < KB
  • KA = 2KB
A solid sphere of mass 2 kg rolls on a smooth horizontal surface at 10 ms -1 . It then rolls up a smooth inclined plane of inclination 30° with the horizontal. The height attained by the sphere before it stops is
  • 700 cm
  • 701 cm
  • 7.1 m
  • None of these
A solid sphere is rolling without slipping on a horizontal surface. The ratio of its rotational kinetic energy to its translational kinetic energy is
  • 2/9
  • 2/7
  • 2/5
  • 7/2
The moment of inertia of a flywheel having kinetic energy 360 J and angular speed of 20 rad s -1 is
  • 18 kg – m2
  • 1.8 kg – m2
  • 2.5 kg – m2
  • 9 kg – m2

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  • ring
  • solid sphere
  • hollow sphere
  • disc
A body rolls down an inclined plane. If its kinetic energy of rotation is 40% of its kinetic energy of translation, then the body is
  • solid cylinder
  • solid sphere
  • disc
  • ring
A coin is of mass 4.8 kg and radius one metre rolling on a horizontal surface without sliding with angular velocity 600 rotation/min. What is total kinetic energy of the coin ?
  • 360 J
  • 1440 π2 J
  • 4000 π2 J
  • 600 π2 J
A thin metal disc of radius of 0.25 m and mass 2 kg starts from rest and rolls down on an inclined plane. If its rotational kinetic energy is 4 J, at the foot of inclined plane, then the linear velocity at the same point, is in ms -1.
  • 2
  • 2√2
  • 2√3
  • 3√2
A meter stick is held vertically with one end on the floor and is then allowed to fall. Assuming that the end on the floor the stick does not slip, the velocity of the other end when it hits the floor, will be
  • 10.8 ms-1
  • 5.4 ms-1
  • 2.5 ms-1
  • None of these
A disc is rolling on the inclined plane, what is the ratio of its rotational KE to the total KE ?
  • 1 : 3
  • 3 : 1
  • 1 : 2
  • 2 : 1
If the angular momentum of a rotating body about a fixed axis is increased by 10%. Its kinetic energy will be increased by
  • 10%
  • 20%
  • 21%
  • 5%
A solid uniform sphere resting on a rough horizontal plane is given a horizontal impulse directed through its centre so that it starts sliding with an initial velocity vo . When it finally starts rolling without sliping the speed of its centre is

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    Physics-Systems of Particles and Rotational Motion-88719.png

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A car moves around a curved road of radius R1 at constant speed v without sliding. If we double the car's speed, what is the least radius that would now keep the car from sliding ?
  • 2R1
  • 4R1
  • 6R1
  • R1
A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass in, if the string does not slip on the pulley, is
  • g
  • 2)
    Physics-Systems of Particles and Rotational Motion-88724.png

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A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle O. The frictional force
  • converts translational energy to rotational energy
  • dissipates energy as heat
  • decreases the rotational motion
  • decreases the rotational and translational motions
A solid sphere rolls down without slipping on an inclined plane at angle 60° over a distance of 10 m. The acceleration (in ms -2) is
  • 4
  • 5
  • 6
  • 7
A solid sphere of mass 1 kg, radius 10 cm rolls down an inclined plane of height 7 m. The velocity of its centre as it reaches the ground level is
  • 7 m/s
  • 10 m/s
  • 15 m/s
  • 20 m/s
A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is

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    Physics-Systems of Particles and Rotational Motion-88731.png

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The acceleration of the centre of mass of a uniform solid disc rolling down an inclined plane of angle α is

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    Physics-Systems of Particles and Rotational Motion-88736.png

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A circular disc of radius R rolls without slipping along the horizontal surface with constant velocity v0. We consider a point A on the surface of the disc. Then the acceleration of the point A is
  • constant in magnitude as well as direction
  • constant in direction
  • constant in magnitude
  • constant
A cylinder rolls down an inclined plane of inclination 30°, the acceleration of cylinder is
  • g / 3
  • g
  • g / 2
  • 2g / 3

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