JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 17 - MCQExams.com

A cylinder of mass m and radius r is rotating about its axis with constant speed v Its kinetic energy is _____

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A circular disc of mass m and radius r is rolling on a smooth horizontal surface with a constant speed v. Its kinetic energy is _____

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A solid sphere is rotating about a diameter at an angular velocity w. if it cools so that its radius reduces to 1/n of its original value. Its angular velocity becomes_____

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If the original rotational K.E. of the sphere is K, Its new value will be_____

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A uniform rod of length L is suspended from one end such that it is free to rotate about an axis passing through that end and perpendicular to the length, what maximum speed must be imparted to the lower end so that the rod completes one full revolution?

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The height of a solid cylinder is four times that of its radius. It is kept vertically at time t=o on a belt which is moving in the horizontal direction with a velocity v = 2.45t2 where v in m/s and t is in second. If the cylinder does not slip, it will topple over a time t = ____
  • 1 second
  • 2 sec
  • 3 sec
  • 4 sec
The moment of inertia of a thin rod of mass M and length L about an axis passing through the point at a distance L/4 from one of its ends and perpendicular to the rod is _____

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A circular disc of radius R is free to oscillate about an axis passing through a point on its rim and perpendicular to its plane. The disc is turned through an angle of 60? and released. Its angular velocity when it reaches the equilibrium position will be__

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The moment of inertia of a hollow sphere of mass M and inner and outer radii R and 2R about the axis passing through its centre and perpendicular to its plane is

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What is the moment of inertia of a solid sphere of density and radius R about its diameter?

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A gramophone record of mass M and radius R is rotating at an angular velocity w. A win of mass M is gently placed on the record at a distance R/2. from its centre. The new angular velocity of the system is

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A cylinder of 500 g and radius 10 cm has moment of inertia (about its natural axis)
  • 2.5 × 10–3 kg-m2
  • 2 × 10–3 kg-m2
  • 5 × 10–3 kg-m2
  • 3.5 × 10–3 kg-m2
Two spheres each of mass M and radius R/2 are connected with a massless rod of length 2R as shown in the figure. What will be the moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod
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ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. IAB, IBC, ICA are the moments of inertia of the plate about AB, BC, CA respectively. Which one of the following relations is correct?
Physics-Systems of Particles and Rotational Motion-90600.png
  • ICA is maximum
  • IAB > IBC
  • IBC > IAB
  • IAB + IBC = ICA
The moment of inertia of a uniform thin rod of length L and mass M about an axis passing through a point at a distance of L/3 from one of its ends and perpendicular to 3 the rod is

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For the given uniform square lamina ABCD, whose centre is O
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From a circular disc of radius R and mass 9 M, a small disc of mass M and radiu R/3 is removed concentrically.The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is

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  • MR2
  • 4 MR2

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A wheel having moment of inertia 2 kg-m2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel\'s rotation in one minute would be

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A particle with position vector r has a linear momentum p. Which of the following statements is true in respect of its angular momentum L about the origin?
  • L acts along p
  • L acts along r
  • L is maximum when p and r are parallel
  • L is maximum when p is perpendicular to r
  • L is minimum when p is perpendicular to r
A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through its centre. At some instant of time a viscous fluid of mas \'m\' is dropped at the centre and is allowed to spread out and finally fall. The angular velocity during this period
  • Decreases continuously
  • Decreases initially and increases again
  • Remains unaltered
  • Increases continuously
A boy stands over the centre of a horizontal platform which is rotating freely with a speed of 2 revolutions/ sec about a vertical axis through the cente of the platform and straight up through the boy. He holds 2 kg masses in each of his hands close to his body. The combined moment of inertia of the system is 1 kg × m2. The boy now stretches his arms so as to hold the masses of inertia of the system increases to 2 kg × m2. The kinetic energy of the system in the latter case as compared with that in the previous case will
  • Remain unchanged
  • Decrease
  • Increase
  • Remain uncertain
A solid sphere is rotating about a diameter at an angular velocity ω. If it cools so that its radius reduces to 1/n of its original value, its angular velocity becomes

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  • nω
  • n2ω
A particle is moving in a circular path. The correct statement out of the following is
  • Angular momentum will not be conserved
  • Linear momentum will be conserved
  • Angular momentum will be conserved but linear momentum will not be conserved
  • Both will not be conserved
A small mass attached to a string rotates on a frictionless table top as shown. If the tension on the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will
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  • Increase by a factor of 4
  • Decrease by a factor of 2
  • Remain constant
  • Increase by a factor of 2
As a part of a maintenance inspection the compressor of a jet engine is made to spin according to the graph as shown. The number of revolutions made by the compressor during the test is
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  • 9000
  • 16570
  • 12750
  • 11250
Moment of inertia of a sphere of mass M and radius R is I. Keeping M constant if a graph is plotted between I and R, then its form would be

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The graph between the angular momentum L and angular velocity ω will be

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Two discs of moment of inertia I1 and I2 and angular speeds ω1 and ω2 are rotating along collinear axes passing through their centre of mass and perpendicular to their plane. If the two are made to rotate combindly along the same axis the rotational K.E. of system will be

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  • None of these
A circular disk of moment of inertia It is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed ωi. Another disk of moment of inertia Ib is dropped coaxially onto the rotating disk, Initially the second disk has zero angular speed. Eventually both the discs rotate with a constant angular speed ωf. The energy lost by the initially rotating disc to friction is

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A body of mass m slides 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
  • v
  • 2)
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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
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  • 2gh

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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
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  • 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 a
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  • 3v/4a
  • 3v/2a

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  • 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
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  • MR2

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  • 2MR2ω
A uniform rod of length 2L is placed with one end in contact with the horizontal and is then inclined at an angle a to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will

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Centre of gravity (C, G) of a body is the point at which the weight of the body acts.
(Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely radius.
(To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.
Which one of the following pairs of statements is correct?
  • (and (2)
  • (and (1)
  • (and (3)
  • (and (4)
Two stars of mass m1 and m2 are part of a binary star system. The radii of their orbits are r1 and r2 respectively, measured from the C.M. of the system. The magnitude of acceleration of m1 is

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