JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 9 - MCQExams.com

Radius of gyration of a body depends on
  • Mass and size of body
  • Mass distribution and axis of rotation
  • Size of body
  • Mass of body
If solid sphere and solid cylinder of same radius and density rotate about their own axis, the moment of inertia will be greater for (L = R)
  • Solid sphere
  • Solid cylinder
  • Both
  • Equal both
One circular ring and one circular disc, both are having the same mass and radius. The ratio of their moments of inertia about the axis passing through their centres and perpendicular to the planes, will be
  • 1 : 1
  • 2 : 1
  • 1 : 2
  • 4 : 1
Three rings each of mass M and radius R are arranged as shown in the figure. The moment of inertia of the system about YY’ will be
Physics-Systems of Particles and Rotational Motion-89509.png

  • Physics-Systems of Particles and Rotational Motion-89510.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89511.png

  • Physics-Systems of Particles and Rotational Motion-89512.png

  • Physics-Systems of Particles and Rotational Motion-89513.png
Consider a uniform square plate of side ‘a’ and mass ‘m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

  • Physics-Systems of Particles and Rotational Motion-89515.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89516.png

  • Physics-Systems of Particles and Rotational Motion-89517.png

  • Physics-Systems of Particles and Rotational Motion-89518.png
A disc is of mass M and radius r. The moment of inertia of it about an axis tangential to its edge and in plane of the disc or parallel to its diameter is

  • Physics-Systems of Particles and Rotational Motion-89520.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89521.png

  • Physics-Systems of Particles and Rotational Motion-89522.png

  • Physics-Systems of Particles and Rotational Motion-89523.png
Radius of gyration of uniform thin rod of length L about an axis passing normally through its centre of mass is

  • Physics-Systems of Particles and Rotational Motion-89524.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89525.png

  • Physics-Systems of Particles and Rotational Motion-89526.png
  • 12L
Two rings have their moments of inertia in the ratio 2 : 1 and their diameters are in the ratio 2 : 1. The ratio of their masses will be
  • 2 : 1
  • 1 : 2
  • 1 : 4
  • 1 : 1
The moment of inertia of a rectangular lamina about an axis perpendicular to the plane and passing through its centre of mass is

  • Physics-Systems of Particles and Rotational Motion-89529.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89530.png

  • Physics-Systems of Particles and Rotational Motion-89531.png

  • Physics-Systems of Particles and Rotational Motion-89532.png
A rod of length L and mass is bent to form a semi-circular ring as shown in figure. The moment of inertia about XY is
Physics-Systems of Particles and Rotational Motion-89533.png

  • Physics-Systems of Particles and Rotational Motion-89534.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89535.png

  • Physics-Systems of Particles and Rotational Motion-89536.png

  • Physics-Systems of Particles and Rotational Motion-89537.png
If the moment of inertia of a disc about an axis tangential and parallel to its surface be I, then what will be the moment of inertia about the axis tangential but perpendicular to the surface

  • Physics-Systems of Particles and Rotational Motion-89539.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89540.png

  • Physics-Systems of Particles and Rotational Motion-89541.png

  • Physics-Systems of Particles and Rotational Motion-89542.png
The moment of inertia of a solid cylinder of mass M and radius R about a line parallel to the axis of the cylinder and lying on the surface of the cylinder is

  • Physics-Systems of Particles and Rotational Motion-89544.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89545.png

  • Physics-Systems of Particles and Rotational Motion-89546.png

  • Physics-Systems of Particles and Rotational Motion-89547.png
Three point masses m1, m2, m3 are located at the vertices of an equilateral triangle of length \'a\'. The moment of inertia of the system about an axis along the altitude of the triangle passing through m1, is

  • Physics-Systems of Particles and Rotational Motion-89548.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89549.png

  • Physics-Systems of Particles and Rotational Motion-89550.png

  • Physics-Systems of Particles and Rotational Motion-89551.png
Three point masses each of mass m are placed at the corners of an equilateral triangle of side \'a\'. Then the moment of inertia of this system about an axis passing along one side of the triangle is
  • ma2
  • 3 ma2
  • 3/4 ma2
  • 2/3 ma2
Three rods each of length L and mass M are placed along X, Y and Z axes in such a way that one end of each of the rod is at origin. The moment of inertia of this system about Z the axis is

  • Physics-Systems of Particles and Rotational Motion-89554.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89555.png

  • Physics-Systems of Particles and Rotational Motion-89556.png

  • Physics-Systems of Particles and Rotational Motion-89557.png
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-89559.png
  • ICA is maximum
  • IAB > IBC
  • IBC > IAB
  • IAB + IBC = ICA
Of two eggs which have identical sizes, shapes and weights, one is raw and the other is half-boiled. The ratio between the moment of inertia of the raw egg and that of the half-boiled egg about a central axis is
  • One
  • Greater than one
  • Less than one
  • Incomparable
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 rod is

  • Physics-Systems of Particles and Rotational Motion-89562.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89563.png

  • Physics-Systems of Particles and Rotational Motion-89564.png

  • Physics-Systems of Particles and Rotational Motion-89565.png
The moment of inertia of a uniform circular ring, having a mass M and a radius R, about an axis tangential to the ring and perpendicular to its plane is

  • Physics-Systems of Particles and Rotational Motion-89567.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89568.png

  • Physics-Systems of Particles and Rotational Motion-89569.png

  • Physics-Systems of Particles and Rotational Motion-89570.png
The moment of inertia of a sphere of radius R and mass M about a tangent to the sphere is

  • Physics-Systems of Particles and Rotational Motion-89571.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89572.png

  • Physics-Systems of Particles and Rotational Motion-89573.png

  • Physics-Systems of Particles and Rotational Motion-89574.png
A 1 m long rod has a mass of 0.12 kg. What is the moment of inertia about an axis passing through the centre and perpendicular to the length of rod
  • 0.01 kg–m2
  • 0.001 kg–m2
  • 1 kg–m2
  • 10 kg–m2
Two rings of the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is (mass of the ring = m and radius = r)

  • Physics-Systems of Particles and Rotational Motion-89576.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89577.png

  • Physics-Systems of Particles and Rotational Motion-89578.png

  • Physics-Systems of Particles and Rotational Motion-89579.png
The moment of inertia of uniform rectangular plate about an axis passing through its centre and parallel to its length l is (b = breadth of rectangular plate)

  • Physics-Systems of Particles and Rotational Motion-89581.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89582.png

  • Physics-Systems of Particles and Rotational Motion-89583.png

  • Physics-Systems of Particles and Rotational Motion-89584.png
Two circular iron discs are of the same thickness. The diameter of A is twice that of B. The moment of inertia of A as compared to that of B is
  • Twice as large
  • Four times as large
  • 8 times as large
  • 16 times as large
The moment of inertia of a circular ring about an axis passing through its centre and normal to its plane is 200 g × cm2. Then its moment of inertia about a diameter is
  • 400 g × cm2
  • 300 g × cm2
  • 200 g × cm2
  • 100 g × cm2
The moment of inertia about an axis of a body which is rotating with angular velocity 1 radian per second is numerically equal to
  • One-fourth of its rotational kinetic energy
  • Half of the rotational kinetic energy
  • Rotational kinetic energy
  • Twice the rotational kinetic energy
The moment of inertia of a circular disc of radius 2m and mass 1 kg about an axis passing through its centre of mass and perpendicular to plane is 2 kg–m2. Its moment of inertia about an axis parallel to this axis and passing through its edge in kg–m2 is
  • 10
  • 8
  • 6
  • 4
The moment of inertia of a circular ring of mass 1 kg about an axis passing through its centre and perpendicular to its plane is 4 kg–m2. The diameter of the ring is
  • 2 m
  • 4 m
  • 5 m
  • 6 m
From a circular ring of mass M and radius R, an are corresponding to a 90° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is k times MR2. Then the value of k is
  • 3/4
  • 7/8
  • 1/4
  • 1
One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively IA and IB such that
where dA and dB are their densities.
  • IA = IB
  • IA > IB
  • IA < IB
  • IA / IB = dA / dB
Point masses 1, 2, 3 and 4 kg are lying at the point (0, 0, 0), (2, 0, 0), (0, 3,and (–2, – 2,respectively. The moment of inertia of this system about x-axis will be
  • 43 kg–m2
  • 34 kg–m2
  • 27 kg–m2
  • 72 kg–m2
A ring of mass m and radius r is melted and then moulded into a sphere. The moment of inertia of the sphere will be
  • More than that of the ring
  • Less than that of the ring
  • Equal to that of the ring
  • None of the above
A solid sphere and a hollow sphere of the same material and of a same size can be distinguished without weighing
  • By determining their moments of inertia about their coaxial axes
  • By rolling them simultaneously on an inclined plane
  • By rotating them about a common axis of rotation
  • By applying equal torque on them
Two rods each of mass m and length l are joined at the centre to form a cross. The moment of inertia of this cross about an axis passing through the common centre of the rods and perpendicular to the plane formed by them, is
  • ml2 /12
  • ml2 /6
  • ml2 /3
  • ml2 /2
From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is
Physics-Systems of Particles and Rotational Motion-89601.png

  • Physics-Systems of Particles and Rotational Motion-89602.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89603.png

  • Physics-Systems of Particles and Rotational Motion-89604.png

  • Physics-Systems of Particles and Rotational Motion-89605.png
A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passing through its edge and perpendicular to its plane remains I. Then, radius of the disc will be

  • Physics-Systems of Particles and Rotational Motion-89607.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89608.png

  • Physics-Systems of Particles and Rotational Motion-89609.png

  • Physics-Systems of Particles and Rotational Motion-89610.png
The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to the rod at a distance L/4 from one end is

  • Physics-Systems of Particles and Rotational Motion-89612.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89613.png

  • Physics-Systems of Particles and Rotational Motion-89614.png

  • Physics-Systems of Particles and Rotational Motion-89615.png
A small part of the rim of a fly wheel break off while it is rotating at a constant angular speed. Then its radius of gyration will
  • Nothing definite can be said
  • Increase
  • Decrease
  • Remain unchanged
The radius of gyration of a solid sphere of radius r about a certain axis is r. The distance of this axis from the centre of the sphere is
  • r
  • 0.5 r

  • Physics-Systems of Particles and Rotational Motion-89617.png

  • Physics-Systems of Particles and Rotational Motion-89618.png
A T joint is formed by two identical rods A and B each of mass m and length L in the XY plane as shown. Its moment of inertia about axis coinciding with A is
Physics-Systems of Particles and Rotational Motion-89620.png

  • Physics-Systems of Particles and Rotational Motion-89621.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89622.png

  • Physics-Systems of Particles and Rotational Motion-89623.png
  • None of these
A uniform rod of length ‘2L\' has mass per unit length \'m\' The moment of inertia of the rod about an axis passing through its centre and perpendicular to its length is

  • Physics-Systems of Particles and Rotational Motion-89625.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89626.png

  • Physics-Systems of Particles and Rotational Motion-89627.png

  • Physics-Systems of Particles and Rotational Motion-89628.png
The moment of inertia of a uniform rod about a perpendicular axis passing through one end is I1. The same rod is bent into a ring and its moment of inertia about a diameter is I2. Then I1 / I2 is

  • Physics-Systems of Particles and Rotational Motion-89630.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89631.png

  • Physics-Systems of Particles and Rotational Motion-89632.png

  • Physics-Systems of Particles and Rotational Motion-89633.png
The moment of inertia of a circular disc of radius 2 m and mass 1 kg about an axis passing through the centre of mass but perpendicular to the plane of the disc is 2 kg m2. Its moment of inertia about an axis parallel to this axis but passing through the edge of the disc is (see the given figure)
Physics-Systems of Particles and Rotational Motion-89635.png
  • 8 kgm2
  • 4 kgm2
  • 10 kgm2
  • 6 kgm2
The radius of gyration of a thin uniform circular disc (of radius R) about an axis passing through its centre and lying in its plane is
  • R
  • 2)
    Physics-Systems of Particles and Rotational Motion-89637.png

  • Physics-Systems of Particles and Rotational Motion-89638.png

  • Physics-Systems of Particles and Rotational Motion-89639.png
A tap can be operated easily using two fingers because
  • The force available for the operation will be more
  • This helps application of angular forces
  • The rotational effect is caused by the couple formed
  • The force by one finger overcomes friction and other finger provides the force for the operation

Physics-Systems of Particles and Rotational Motion-89640.png
  • ω = 0
  • α = 0
  • J = 0
  • F = 0
A 10 kg body hangs at rest from a rope wrapped around a cylinder 0.2 m in diameter. The torque applied about the horizontal axis of the cylinder is
  • 98 N–m
  • 19.6 N–m
  • 196 N–m
  • 9.8 N–m
Which is a vector quantity?
  • Work
  • Power
  • Torque
  • Gravitational constant
A constant torque acting on a uniform circular wheel changes its angular momentum from A0 to 4A0 in 4 seconds. The magnitude of this torque is

  • Physics-Systems of Particles and Rotational Motion-89643.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89644.png

  • Physics-Systems of Particles and Rotational Motion-89645.png

  • Physics-Systems of Particles and Rotational Motion-89646.png
When a torque acting upon a system is zero, then which of the following will be constant?
  • Force
  • Linear momentum
  • Angular momentum
  • Linear impulse
0:0:1


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