JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 13 - MCQExams.com

A wheel of moment of inertia 5 × 10–3 kg–m2 is making 20 revolutions per second. It is stopped in 20 seconds, then the angular retardation is
  • π rad/sec2
  • 2 π rad/sec2
  • 4 π rad/sec2
  • 8 π rad/sec2
A disc starting from rest acquires in 10 sec an angular velocity of 240 revolutions/minute. Its angular acceleration (assuming constant) is
  • 1.52 rad/s
  • 2.51 rad/s
  • 3.11 rad/s
  • 3.76 rad/s
When a uniform solid sphere and a disc of the same mass and of the same radius rolls down an inclined smooth plane from rest to the same distance, then the ratio of the time taken by them is
  • 15 : 14
  • 152 : 142

  • Physics-Systems of Particles and Rotational Motion-89965.png
  • 14 : 15
Four sphere of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then the moment of inertia of the system about an axis along one of the sides of the square is

  • Physics-Systems of Particles and Rotational Motion-89967.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89968.png

  • Physics-Systems of Particles and Rotational Motion-89969.png

  • Physics-Systems of Particles and Rotational Motion-89970.png
A rigid body of mass m rotates with the angular velocity ω about an axis at a distance \'a\' from the centre of mass G. The radius of gyration about G is K. Then kinetic energy of rotation of the body about new parallel axis is

  • Physics-Systems of Particles and Rotational Motion-89972.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89973.png

  • Physics-Systems of Particles and Rotational Motion-89974.png

  • Physics-Systems of Particles and Rotational Motion-89975.png
A uniform cylinder has a radius R and length L. If the moment of inertia of this cylinder about an axis passing through its centre and normal to its circular face is equal to the moment of inertia of the same cylinder about an axis passing through its centre and perpendicular to its length, then
  • L = R
  • 2)
    Physics-Systems of Particles and Rotational Motion-89978.png

  • Physics-Systems of Particles and Rotational Motion-89979.png

  • Physics-Systems of Particles and Rotational Motion-89980.png
The rectangular block shown in the figure is rotated in turn about x – x, y – y and z – z axis passing through its centre of mass O. Its moment of inertia is
Physics-Systems of Particles and Rotational Motion-89982.png
  • Same about all the three axis
  • Maximum about z – z axis
  • Equal about x – x and y – y axis
  • Maximum about y – y axis
From an inclined plane a sphere a disc, a ring and a spherical shell are rolled without slipping. The order of their reaching at the base will be
  • Ring, shell, disc, sphere
  • Shell, sphere, disc, ring
  • Sphere, disc, shell, ring
  • Ring, sphere, disc, shell
A wheel of moment of inertia 5 × 10–3 kg–m2 is making 20 revolutions/sec. The torque required to stop it in 10 sec is
  • 4π × 10–2 N–m
  • 2π × 10–2 N–m
  • 4π × 10–2 N–m
  • 2π × 10–2 N–m
If all of a sudden the radius of the earth decreases, then
  • The angular momentum of the earth will become greater than that of the sun
  • The angular speed of the earth will increase
  • The periodic time of the earth will increase
  • The energy and angular momentum will remain constant
A particle of mass m = 5 units is moving with a uniform speed v = 3√2 units in the XOY plane along the straight line Y = X + 4. The magnitude of the angular momentum about origin is
  • Zero
  • 60 units
  • 75 units
  • 40√2 units
A sphere of mass 50 g and diameter 20 cm rolls without slipping with a velocity of 5cm/sec. Its total kinetic energy is
  • 625 erg
  • 250 erg
  • 875 erg
  • 875 joule
Five particles of mass 2 kg are attached to the rim of a circular disc of radius 0.1 m and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane is
  • 1 kg-m2
  • 0.1 kg-m2
  • 2 kg-m2
  • 0.2 kg-m2
The moment of inertia of a metre scale of mass 0.6 kg about an axis perpendicular to the scale and located at the 20 cm position on the scale in kg m2 is (Breadth of the scale is negligible)
  • 0.074
  • 0.104
  • 0.148
  • 0.208
Four thin rods of same mas M and same length l, form a square as shown in figure. Moment of inertia of this system about an axis through centre O and perpendicular to its plane is
Physics-Systems of Particles and Rotational Motion-89991.png

  • Physics-Systems of Particles and Rotational Motion-89992.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89993.png

  • Physics-Systems of Particles and Rotational Motion-89994.png

  • Physics-Systems of Particles and Rotational Motion-89995.png
A circular disc is to be made by using iron and aluminium, so that it acquires maximum moment of inertia about its geometrical axis. It is possible with
  • Iron and aluminium layers in alternate order
  • Aluminium at interior and iron surrounding it
  • Iron at interior and aluminium surrounding it
  • Either (or (3)
The moment of inertia of a body does not depend upon
  • The angular velocity of the body
  • The mass of the body
  • The distribution of mass in the body
  • The axis of rotation of the body
Four point masses, each of value m, are placed at the corners of a square ABCD of side l. The moment of inertia of this system about an axis passing through A and parallel to BD is
  • √3 ml2
  • 3 ml2
  • ml2
  • 2 ml2
Four particles each of mass m are placed at the corners of a square of side length l. The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is

  • Physics-Systems of Particles and Rotational Motion-89998.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89999.png
  • l

  • Physics-Systems of Particles and Rotational Motion-90000.png
The radius of gyration of a disc of mass 50g and radius 2.5 cm, about an axis passing through its centre of gravity and perpendicular to the plane, is
  • 0.52 cm
  • 1.76 cm
  • 3.54 cm
  • 6.54 cm
Moment of inertia of a disc about its own axis is I. Its moment of inertia about a tangential axis in its plane is

  • Physics-Systems of Particles and Rotational Motion-90003.png
  • 3I

  • Physics-Systems of Particles and Rotational Motion-90004.png
  • 2I
Moment of inertia of a ring of mass m = 3 g and radius r = 1cm about an axis passing through its edge and parallel to its natural axis is
  • 10 g-cm2
  • 100 g-cm2
  • 6 g-cm2
  • 1 g-cm2
A solid cylinder has mass M, length L and radius R. The moment of inertia of this cylinder about a generator is

  • Physics-Systems of Particles and Rotational Motion-90007.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90008.png

  • Physics-Systems of Particles and Rotational Motion-90009.png

  • Physics-Systems of Particles and Rotational Motion-90010.png
A spherical shell has mass M and radius R. Moment of inertia about its diameter will be

  • Physics-Systems of Particles and Rotational Motion-90012.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90013.png

  • Physics-Systems of Particles and Rotational Motion-90014.png
  • MR2
The moment of inertia of a uniform circular disc of radius \'R\' and mass `M\' about an axis touching the disc at its diameter and normal to the disc is

  • Physics-Systems of Particles and Rotational Motion-90015.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90016.png

  • Physics-Systems of Particles and Rotational Motion-90017.png

  • Physics-Systems of Particles and Rotational Motion-90018.png
The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axis is

  • Physics-Systems of Particles and Rotational Motion-90020.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90021.png

  • Physics-Systems of Particles and Rotational Motion-90022.png

  • Physics-Systems of Particles and Rotational Motion-90023.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-90025.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90026.png

  • Physics-Systems of Particles and Rotational Motion-90027.png

  • Physics-Systems of Particles and Rotational Motion-90028.png
The moment of inertia of a sphere of radius R and mass M about a tangent to the sphere is
  • MR2
  • 2)
    Physics-Systems of Particles and Rotational Motion-90032.png

  • Physics-Systems of Particles and Rotational Motion-90033.png

  • Physics-Systems of Particles and Rotational Motion-90034.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-90035.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90036.png

  • Physics-Systems of Particles and Rotational Motion-90037.png

  • Physics-Systems of Particles and Rotational Motion-90038.png
In a rectangle ABCD (BC = 2AB). The moment of inertia along which axes will be minimum
Physics-Systems of Particles and Rotational Motion-90041.png
  • BC
  • BD
  • HF
  • EG
The moment of inertia of a circular disc of mass M and radius R about an axis passing through the centre of mass is I0. The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is

  • Physics-Systems of Particles and Rotational Motion-90042.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90043.png
  • 8I0
  • 2I0
  • 4I0
Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side l cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-cm2 units will be
Physics-Systems of Particles and Rotational Motion-90045.png

  • Physics-Systems of Particles and Rotational Motion-90046.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90047.png

  • Physics-Systems of Particles and Rotational Motion-90048.png

  • Physics-Systems of Particles and Rotational Motion-90049.png
The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is
  • 2 : 3
  • 2 : 1

  • Physics-Systems of Particles and Rotational Motion-90051.png

  • Physics-Systems of Particles and Rotational Motion-90052.png
The moment of inertia of a rod about an axis through its centre and perpendicular to it is 1/12 ml2 (where M is the mass and L is the length of the rod). The rod is bent in the middle so that the two halves make an angle of 60°. The moment of inertia of the bent rod about the same axis would be

  • Physics-Systems of Particles and Rotational Motion-90054.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90055.png

  • Physics-Systems of Particles and Rotational Motion-90056.png

  • Physics-Systems of Particles and Rotational Motion-90057.png
A uniform rod of length L and mass 1.8 kg is made to rest on two measuring scale at its two ends. A uniform block of mass 2.7 kg is placed on the rod at a distance L/4 from the left end. The force experienced by measuring scale on the right end is
  • 18 N
  • 27 N
  • 29 N
  • 45 N
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is I0. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

  • Physics-Systems of Particles and Rotational Motion-90061.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90062.png

  • Physics-Systems of Particles and Rotational Motion-90063.png

  • Physics-Systems of Particles and Rotational Motion-90064.png
Moment of inertia of a hollow cylinder of mass M and radius r about its own axis is

  • Physics-Systems of Particles and Rotational Motion-90070.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90071.png

  • Physics-Systems of Particles and Rotational Motion-90072.png

  • Physics-Systems of Particles and Rotational Motion-90073.png
  • Mr2

Physics-Systems of Particles and Rotational Motion-90074.png

  • Physics-Systems of Particles and Rotational Motion-90075.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90076.png

  • Physics-Systems of Particles and Rotational Motion-90077.png

  • Physics-Systems of Particles and Rotational Motion-90078.png
A mass of 10 kg connected at the end of a rod of negligible mass is rotating in a circle of radius 30 cm with an angular velocity of 10 rad/sec. If this mass is brought to rest in 10 sec by a brake, what is the magnitude of the torque applied?
  • 0.9 N-m
  • 1.2 N-m
  • 2.3 N-m
  • 0.5 N-m
A uniform rod AB of length l and mass m is free to rotate about point A. The rod is released from rest in horizontal position. Given that the moment of inertia of the rod about A is ml2/3 the initial angular acceleration of the rod will be
Physics-Systems of Particles and Rotational Motion-90081.png

  • Physics-Systems of Particles and Rotational Motion-90082.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90083.png

  • Physics-Systems of Particles and Rotational Motion-90084.png

  • Physics-Systems of Particles and Rotational Motion-90085.png
A ladder rests against a frictionless vertical wall, with its upper end 6 m above the ground and the lower end 4 m away from the wall. The weight of the ladder is 500 N and its C. G. at 1/3 rd distance from the lower end. Wall\'s reactions will be, (in newton)
  • 111
  • 333
  • 222
  • 129
A constant torque of 31.4 N-m is exerted on a pivoted wheel. If angular acceleration of wheel is 4π rad/sec2, then the moment of inertia of the wheel is
  • 2.5 kg-m2
  • 3.5 kg-m2
  • 4.5 kg-m2
  • 5.5 kg-m2
A string is wound round the rim of a mounted flywheel of mass 20 kg and radius 20 cm. A steady pull of 25 N is applied on the cord. Neglecting friction and mass of the string, the angular acceleration of the wheel is
  • 50 s-2
  • 25 s-2
  • 12.5 s-2
  • 6.25 s-2
A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity ω. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be

  • Physics-Systems of Particles and Rotational Motion-90089.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-90090.png

  • Physics-Systems of Particles and Rotational Motion-90091.png

  • Physics-Systems of Particles and Rotational Motion-90092.png
A 2 kg mass is rotating on a circular path of radius 0.8 m with angular velocity of 44 rad/sec. If radius of path becomes lm, then the value of angular velocity will be
  • 28.16 rad/sec
  • 35.16 rad/sec
  • 19.28 rad/sec
  • 8.12 rad/sec
The angular momentum of a system of particles is conserved
  • When no external force acts upon the system
  • When no external torque acts on the system
  • When no external impulse acts upon the system
  • When axis of rotation remains same
A ballet dancer, dancing on a smooth floor is spinning about a vertical axis with her arms folded with an angular velocity of 20 rad/s. When she stretched her arms fully, the spinning speed decreases in 10 rad/s. If I is the initial moment of inertia of the dancer, the new moment of inertia is
  • 2I
  • 3I
  • I/2
  • I/3
A uniform heavy disc is rotating at constant angular velocity ω about a vertical axis through its centre and perpendicular to the plane of the disc. Let L be its angular momentum. A lump of plasticine is dropped vertically on the disc and sticks to it. which will be constant?
  • ω
  • ω and L both
  • L only
  • Neither ω nor L
A particle of mass m is rotating in a plane in circular path of radius r. Its angular momentum is L. The centripetal force acting on the particle is
  • L2/mr
  • L2m /r
  • L2/m2r2
  • L2 / mr3

Physics-Systems of Particles and Rotational Motion-90097.png
  • X-axis
  • Y-axis
  • Z-axis
  • Line at equal angles to all the three axis
0:0:1


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