JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 11 - MCQExams.com

A body having moment of inertia about its axis of rotation equal to 3 kg–m2 is rotating with angular velocity equal to 3 rad/s. Kinetic energy of this rotating body is the same as that of body of mass 27 kg moving with a speed of
  • 1.0 m/s
  • 0.5 m/s
  • 1.5 m/s
  • 2.0 m/s
A ring of radius r and mass m rotates about an axis passing through its centre and perpendicular to its plane with angular velocity ω. Its kinetic kinetic energy is

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  • 2)
    Physics-Systems of Particles and Rotational Motion-89726.png

  • Physics-Systems of Particles and Rotational Motion-89727.png

  • Physics-Systems of Particles and Rotational Motion-89728.png
A solid homogeneous sphere is moving on a rough horizontal surface partly rolling and partly sliding. During this kind of motion of the sphere
  • Total kinetic energy is conserved
  • The angular momentum of the sphere about the point of contact with the plane is conserved
  • Only the rotational kinetic energy about the centre of mass is conserved
  • Angular momentum about the centre of mass is conserved
A spherical solid ball of 1 kg mass and radius 3 cm is rotating about an axis passing through its centre with an angular velocity of 50 rad/s. The kinetic energy is
  • 4500 J
  • 90 J
  • 910 J

  • Physics-Systems of Particles and Rotational Motion-89731.png
A metre stick is held vertically with one end of the floor and is then allowed to fall. If the end touching the floor is not allowed to slip, the other end will hit the ground with a velocity of (g = 9.8 m/s2)
Physics-Systems of Particles and Rotational Motion-89733.png
  • 3.2 m/s
  • 5.4 m/s
  • 7.6 m/s
  • 9.2 m/s
Two bodies with moment of inertia I1 and I2 (such that I1 > I2) have equal angular velocity. If their kinetic energy of rotation are E1 and E2, then
  • E1 ≥ E2
  • E1 > E2
  • E1 < E2
  • E1 = E2

Physics-Systems of Particles and Rotational Motion-89736.png
  • 1467 J
  • 1452 J
  • 1567 J
  • 1632 J
A circular disc of mass 0.41 kg and radius 10 m rolls without slipping with a velocity of 2 m/s. The total kinetic energy of disc is
  • 0.41 J
  • 1.23 J
  • 0.82 J
  • 2.4 J
A metre stick of mass 400 g is pivoted at one end and displaced through an angle 60°. The increase in its potential energy is
  • 2 J
  • 3
  • 0 J
  • 1 J
A flywheel rotating about a fixed axis has a kinetic energy of 360 joule when its angular speed is 30 rad/sec. The moment of inertia of the wheel about the axis of rotation is
  • 0.6 kg × m2
  • 0.15 kg × m2
  • 0.8 kg × m2
  • 0.75 kg × m2
A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere reaches bottom?

  • Physics-Systems of Particles and Rotational Motion-89741.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89742.png

  • Physics-Systems of Particles and Rotational Motion-89743.png

  • Physics-Systems of Particles and Rotational Motion-89744.png
A solid sphere (mass 2 M) and a thin hollow spherical shell (mass M) both of the same size, roll down an indined plane, then
  • Solid sphere will reach the bottom first
  • Hollow spherical shell will reach the bottom first
  • Both will reach at the same time
  • None of the above
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)
  • Solid sphere
  • Hollow sphere
  • Ring
  • All same
An inclined plane makes an angle of 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to

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  • 2)
    Physics-Systems of Particles and Rotational Motion-89748.png

  • Physics-Systems of Particles and Rotational Motion-89749.png

  • Physics-Systems of Particles and Rotational Motion-89750.png
The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h, from rest without sliding, is

  • Physics-Systems of Particles and Rotational Motion-89752.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89753.png

  • Physics-Systems of Particles and Rotational Motion-89754.png

  • Physics-Systems of Particles and Rotational Motion-89755.png
A solid cylinder 30 cm in diameter at the top of an inclined plane 2.0 m high is released and rolls down the incline without loss of energy due to friction. Its linear speed at the bottom is
  • 5.29 m/sec
  • 4.1 × 103 m/sec
  • 51 m/sec
  • 51 cm/sec
A ring solid sphere and a disc are rolling down from the top of the same height, then the sequence to reach on surface is
  • Ring, disc, sphere
  • Sphere, disc, ring
  • Disc, ring, sphere
  • Sphere, ring, disc
A body of mass m slides down an incline and reaches the bottom with a velocity v. If the same mass were in the form of a ring which rolls down this incline, the velocity of the ring at bottom would have been

  • Physics-Systems of Particles and Rotational Motion-89760.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89761.png

  • Physics-Systems of Particles and Rotational Motion-89762.png

  • Physics-Systems of Particles and Rotational Motion-89763.png
A solid sphere, disc and solid cylinder all of the same mass and made up of same material are allowed to roll down (from rest) on inclined plane, then
  • Solid sphere reaches the bottom first
  • Solid sphere reaches the bottom late
  • Disc will reach the bottom first
  • All of them reach the bottom at the same time
A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is

  • Physics-Systems of Particles and Rotational Motion-89766.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89767.png

  • Physics-Systems of Particles and Rotational Motion-89768.png

  • Physics-Systems of Particles and Rotational Motion-89769.png
A body is rolling down an inclined plane. Its translational and rotational kinetic energies are equal. The body is a
  • Solid sphere
  • Hollow sphere
  • Solid cylinder
  • Hollow cylinder
A thin uniform circular ring is rolling down an inclined plane of inclination 30° without slipping. Its linear acceleration along the inclined plane will be
  • g/2
  • g/3
  • g/4
  • 2g/3
A cylinder rolls down an inclined plane of inclination 30° the acceleration of cylinder is

  • Physics-Systems of Particles and Rotational Motion-89773.png
  • g

  • Physics-Systems of Particles and Rotational Motion-89774.png

  • Physics-Systems of Particles and Rotational Motion-89775.png
A solid sphere is rolling on a frictionless surface, shown in figure with a transnational velocity v m/s. If sphere climbs up to height h then value of v should be
Physics-Systems of Particles and Rotational Motion-89777.png

  • Physics-Systems of Particles and Rotational Motion-89778.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89779.png

  • Physics-Systems of Particles and Rotational Motion-89780.png

  • Physics-Systems of Particles and Rotational Motion-89781.png
A solid disc rolls clockwise without slipping over a horizontal path with a constant speed v. Then the magnitude of the velocities of points A, B and C (see figure) with respect to a standing observer are respectively
Physics-Systems of Particles and Rotational Motion-89783.png

  • Physics-Systems of Particles and Rotational Motion-89784.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89785.png

  • Physics-Systems of Particles and Rotational Motion-89786.png

  • Physics-Systems of Particles and Rotational Motion-89787.png
A solid sphere rolls down two different inclined planes of same height, but of different inclination in both cases
  • Speed and time of descent will be same
  • Speed will be same, but time of descent will be different
  • Speed will be different, but time of descent will be same
  • Speed and time of descent both are different
A sphere of mass m and radius r rolls on a horizontal plane without slipping with the speed u. Now if it rolls up vertically, the maximum height it would attain will be

  • Physics-Systems of Particles and Rotational Motion-89790.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89791.png

  • Physics-Systems of Particles and Rotational Motion-89792.png

  • Physics-Systems of Particles and Rotational Motion-89793.png
A round uniform body of radius R mass M and moment of inertia I, rolls down (without slipping) an inclined plane making an angle θ with the horizontal. Then its acceleration is

  • Physics-Systems of Particles and Rotational Motion-89795.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89796.png

  • Physics-Systems of Particles and Rotational Motion-89797.png

  • Physics-Systems of Particles and Rotational Motion-89798.png

Physics-Systems of Particles and Rotational Motion-89800.png
  • Ring
  • Solid sphere
  • Hollow sphere
  • Disc
Two solid discs of radii r and 2r roll from the top of an inclined plane without slipping. Then
  • The bigger disc will reach the horizontal level first
  • The smaller disc will reach the horizontal level first
  • The time difference of reaching of the disc at the horizontal level will depend on the inclination of the plane
  • Both the discs will reach at the same time
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 ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shown. Relative to its initial with respect to the table, the ball
(Remains stationary if there is no friction between the paper and the ball.
(Moves to the left and starts rolling backwards, i. e., to the left if there is a friction between the paper and the ball.
(Moves forward, i. e., in the direction in which the paper is pulled. Here, the correct statements is/are
Physics-Systems of Particles and Rotational Motion-89807.png
  • Both (and (2)
  • Only (3)
  • Only (1)
  • Only (2)
Two particles A and B initially at rest move towards each other under a mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v, the speed of centre of mass of the system is
  • Zero
  • v
  • 1.5v
  • 3v
A disc is rolling (without slipping) on a horizontal surface. C is its centre and Q and P are two points equidistant from C. Let vP, vQ and vC be the magnitude of velocities of points P, Q and C respectively, then
Physics-Systems of Particles and Rotational Motion-89809.png

  • Physics-Systems of Particles and Rotational Motion-89810.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89811.png

  • Physics-Systems of Particles and Rotational Motion-89812.png

  • Physics-Systems of Particles and Rotational Motion-89813.png
One quarter sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is
Physics-Systems of Particles and Rotational Motion-89815.png

  • Physics-Systems of Particles and Rotational Motion-89816.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89817.png

  • Physics-Systems of Particles and Rotational Motion-89818.png

  • Physics-Systems of Particles and Rotational Motion-89819.png
A thin wire of length L and uniform linear mass density ρ is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about the axis. XX\' is
Physics-Systems of Particles and Rotational Motion-89821.png

  • Physics-Systems of Particles and Rotational Motion-89822.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89823.png

  • Physics-Systems of Particles and Rotational Motion-89824.png

  • Physics-Systems of Particles and Rotational Motion-89825.png
Two discs of same thickness but of different radii are made of two different materials such that their masses are same. The densities of the materials are in the ratio 1 : 3. The moments of inertia of these discs about the respective axes passing through their centres and perpendicular to their planes will be in the ratio
  • 1 : 3
  • 3 : 1
  • 1 : 9
  • 9 : 1
A pulley of radius 2m is rotated about its axis by a force F = (20t – 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2, the number of rotations made by the pulley before its direction of motion if reversed, is
  • Less than 3
  • More than 3 but less than 6
  • More than 6 but less than 9
  • More than 9
A solid cylinder is rolling down on an inclined plane of angle θ. The coefficient of static friction between the plane and cylinder is µs. The condition for the cylinder not to slip is
  • tan θ ≥ 3 µ
  • tan θ > 3 µs
  • tan θ ≤ µs
  • tan θ < 3 µs
A particle undergoes uniform circular motion. About which point on the plane of the circle, will the angular momentum of the particle remain conserved.
  • Centre of the circle
  • On the circumference of the circle
  • Inside the circle
  • Outside the circle
Consider a body, shown in figure, consisting of two identical balls, each of mass M connected by a light rigid rod. If an impulse J = MV is imparted to the body at one of its ends, what would be its angular velocity?
Physics-Systems of Particles and Rotational Motion-89831.png
  • V /L
  • 2V /L
  • V /3L
  • V /4L
A straight rod of length L has one of its ends at the origin and the other at x = L. If the mass per unit length of the rod is given by Ax where A is constant, where is its mass centre?
  • L/3
  • L/2
  • 2L/3
  • 3L/4
Assertion A shell at rest, explodes. The centre of mass of fragments moves along a straight path.
Reason In explosion the linear momentum of the system remains always conserved.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If The Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
An equilateral triangle ABC formed from a uniform wire has two small identical beads initially located at A. The triangle is set rotating about the vertical axis AO. Then the beads are released from rest simultaneously and allowed to slide down, one along AB and the other along AC as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down, are
Physics-Systems of Particles and Rotational Motion-89835.png
  • Angular velocity and total energy (kinetic and potential)
  • Total angular momentum and total energy
  • Angular velocity and moment of inertia about the axis of rotation
  • Total angular momentum and moment of inertia about the axis of rotation
A cubical block of side a is moving with velocity v on a horizontal smooth plane as shown. It hits a ridge at point O. The angular speed of the block after it hits O is
Physics-Systems of Particles and Rotational Motion-89836.png

  • Physics-Systems of Particles and Rotational Motion-89837.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89838.png

  • Physics-Systems of Particles and Rotational Motion-89839.png
  • Zero
A disc of mass M and radius R is rolling with angular speed ω on a horizontal plane as shown. The magnitude of angular momentum of the disc about the origin O is
Physics-Systems of Particles and Rotational Motion-89841.png

  • Physics-Systems of Particles and Rotational Motion-89842.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89843.png

  • Physics-Systems of Particles and Rotational Motion-89844.png

  • Physics-Systems of Particles and Rotational Motion-89845.png
A child is standing with folded hands at the centre of a platform rotating about its centreal axis. The kinetic energy of the system is K. The child now stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is
  • 2K
  • K/2
  • K/4
  • 4K
A cylinder rolls up an inclined plane, reaches some height and then rolls down (without slipping throughout these motions). The directions of the frictional force acting on the cylinder are
  • Up the incline while ascending and down the incline while descending
  • Up the incline while ascending as well as descending
  • Down the incline while ascending and up the incline with descending
  • Down the incline while ascending as well as descending
A uniform rod of length 2L is placed with one end in contact with the horizontal and is then inclined at an angle α to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be

  • Physics-Systems of Particles and Rotational Motion-89849.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89850.png

  • Physics-Systems of Particles and Rotational Motion-89851.png

  • Physics-Systems of Particles and Rotational Motion-89852.png
A smooth sphere A is moving on a frictionless horizontal plane with angular speed ω and centre of mass velocity v. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After the collision their angular speeds are ωA and ωB respectively. Then
  • ωA < ωB
  • ωA = ωB
  • ωA = ω
  • ω = ωB
0:0:1


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