JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 6 - MCQExams.com

Two identical balls each of radius 10 cm are placed touching each other. The distance of their centre of mass from the point of contact is
  • 5 cm
  • 10 cm
  • 15 cm
  • zero
The reduced mass of the system of two particles of masses M and 2 M will be
  • M/2
  • 2M
  • 2/3 M
  • 3/2 M
Mass is distributed uniformly over a thin square plate. If two end points of a diagonal are (–2,and (2, 2), what are the coordinates of centre of mass of plate ?
  • (2, 1)
  • (2, 2)
  • (1, 0)
  • (0, 1)
In the above question, where do the fragments P and Q hit the ground from the point of projection ?
  • R, R
  • 2)
    Physics-Systems of Particles and Rotational Motion-89149.png

  • Physics-Systems of Particles and Rotational Motion-89150.png

  • Physics-Systems of Particles and Rotational Motion-89151.png
A hoop of mass M and radius R is suspended on a peg in a wall. Its moment of inertia about the peg is
  • 2 MR2
  • MR2

  • Physics-Systems of Particles and Rotational Motion-89153.png

  • Physics-Systems of Particles and Rotational Motion-89154.png
M.I. of a thin rod of mass M and length l about an axis through its centre is Ml2/12. Its M.I. about a parallel axis through end of rod is

  • Physics-Systems of Particles and Rotational Motion-89156.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89157.png

  • Physics-Systems of Particles and Rotational Motion-89158.png

  • Physics-Systems of Particles and Rotational Motion-89159.png
Three point masses, each of mass m are placed at the corners of an equilateral of triangle of side l. Moment of inertia of this system about an axis along one side of triangle is

  • Physics-Systems of Particles and Rotational Motion-89161.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89162.png

  • Physics-Systems of Particles and Rotational Motion-89163.png

  • Physics-Systems of Particles and Rotational Motion-89164.png
A stone of mass 4 kg is whirled in a horizontal circle of diameter 2 m. If it makes 5 rps, then M.I. of stone about the axis of rotation is
  • 1 kg m2
  • 16 kg m2
  • 64 kg m2
  • 4 kg m2
An inclined plane makes an angle of 30o with the horizontal. A solid sphere rolling down the inclined plane from rest without slipping has a linear acc. equal to
  • 5g/14
  • 5g/4
  • 2g/3
  • g/3
About which axis in the following fig. the moment of inertia of the rectangular lamina is maximum ?
Physics-Systems of Particles and Rotational Motion-89168.png
  • 1
  • 2
  • 3
  • 4
A thin wire of length l and mass m is bent in the form of a semicircle, Fig. Its moment of inertia about an axis joining its free ends will be
Physics-Systems of Particles and Rotational Motion-89169.png

  • Physics-Systems of Particles and Rotational Motion-89170.png
  • zero

  • Physics-Systems of Particles and Rotational Motion-89171.png

  • Physics-Systems of Particles and Rotational Motion-89172.png
Three rings each of mass P and radius Q are arranged as shown in Fig. The moment of inertia of the arrangement about YY’ will be
Physics-Systems of Particles and Rotational Motion-89174.png

  • Physics-Systems of Particles and Rotational Motion-89175.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89176.png

  • Physics-Systems of Particles and Rotational Motion-89177.png

  • Physics-Systems of Particles and Rotational Motion-89178.png
A thin rod of length L and mass M is bent at the middle point O at an angle of 60o, Fig. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

  • Physics-Systems of Particles and Rotational Motion-89180.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89181.png

  • Physics-Systems of Particles and Rotational Motion-89182.png

  • Physics-Systems of Particles and Rotational Motion-89183.png
Two uniform thin rods each of mass M and length l are placed along X and Y axis with one end of each at the origin. M.I. of the system about Z-axis is

  • Physics-Systems of Particles and Rotational Motion-89185.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89186.png

  • Physics-Systems of Particles and Rotational Motion-89187.png
  • zero
Three identical thin rods each of length l and mass M are joined together to form a letter H. What is the moment of inertia of the system about one of the sides of H ?

  • Physics-Systems of Particles and Rotational Motion-89189.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89190.png

  • Physics-Systems of Particles and Rotational Motion-89191.png

  • Physics-Systems of Particles and Rotational Motion-89192.png
Four spheres of diameter 2α 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-89194.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89195.png

  • Physics-Systems of Particles and Rotational Motion-89196.png

  • Physics-Systems of Particles and Rotational Motion-89197.png
A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle θ with the horizontal.
If the disc is replaced by a ring of the same mass M and the same radius R, the ratio of the frictional force on the ring to that on the disc will be
  • 3/2
  • 2
  • √2
  • 1
A particle of mass m is fixed to one end of a light spring of force constant k and unstretched length l. The system is rotated about the other end of the spring with an angular velocity ω, in gravity free space. The increase in length of the spring will be
Physics-Systems of Particles and Rotational Motion-89199.png

  • Physics-Systems of Particles and Rotational Motion-89200.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89201.png

  • Physics-Systems of Particles and Rotational Motion-89202.png
  • none of these
A wheel of mass 8 kg and radius 40 cm is rolling on a horizontal road with angular velocity of 15 rad/s. The moment of inertia of the wheel about its axis is 0.64 kg m2. Total KE of wheel is
  • 288 J
  • 216 J
  • 72 J
  • 144 J
A constant torque acting on a uniform circular wheel changes its angular momentum from A to 4 A in 4 seconds. The magnitude of the torque is
  • 0.75 A
  • 4 A
  • A
  • 12 A
A man standing on a rotating table is holding two masses at arm’s length. Without moving his arms, he drops the two masses. His angular speed will
  • increase
  • decrease
  • become zero
  • remain constant
A solid sphere of mass 2 kg and radius 5 cm is rotating at the rate of 300 rpm. The torque required to stop it in 2 π revolutions is

  • Physics-Systems of Particles and Rotational Motion-89205.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89206.png

  • Physics-Systems of Particles and Rotational Motion-89207.png

  • Physics-Systems of Particles and Rotational Motion-89208.png

Physics-Systems of Particles and Rotational Motion-89210.png

  • Physics-Systems of Particles and Rotational Motion-89211.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89212.png

  • Physics-Systems of Particles and Rotational Motion-89213.png

  • Physics-Systems of Particles and Rotational Motion-89214.png
The moment of inertia of a solid cylinder about its axis is I. It is allowed to roll down an incline without slipping. If its angular velocity at the bottom be ω, then KE of the cylinder will be

  • Physics-Systems of Particles and Rotational Motion-89216.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89217.png

  • Physics-Systems of Particles and Rotational Motion-89218.png

  • Physics-Systems of Particles and Rotational Motion-89219.png

Physics-Systems of Particles and Rotational Motion-89221.png
  • zero
  • 60 unit
  • 7.5 unit

  • Physics-Systems of Particles and Rotational Motion-89222.png
A gramophone record has radius r and mass M. It is rotating with a speed ω. Two drops of wax of mass m fall on it at a distance r/2 on opposite sides. The new angular speed is

  • Physics-Systems of Particles and Rotational Motion-89223.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89224.png

  • Physics-Systems of Particles and Rotational Motion-89225.png

  • Physics-Systems of Particles and Rotational Motion-89226.png
A body rolls down an inclined plane. If its K.E. of rotational motion is 40% of its K.E. of translation, then the body is
  • cylinder
  • ring
  • solid disc
  • solid sphere
Let I be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes ∠θ with AB. The moment of inertia of the plate about axis CD is then equal to
  • I
  • I sin2θ
  • I cos2θ
  • I cos2(θ/2)
A small sphere is attached to a cord and rotates in a vertical circle about a pt. O. If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at
Physics-Systems of Particles and Rotational Motion-89229.png
  • bottom point B
  • top point A
  • the point D
  • the point C
One quarter sector is cut from a uniform circular disc of mass M and radius R. It is made to rotate about a line perpendicular to its plane and passing through the center of the original disc. Its moment of inertia about the axis of rotation is
Physics-Systems of Particles and Rotational Motion-89230.png

  • Physics-Systems of Particles and Rotational Motion-89231.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89232.png

  • Physics-Systems of Particles and Rotational Motion-89233.png

  • Physics-Systems of Particles and Rotational Motion-89234.png
A constant torque of 31.4 N–m is exerted on a pivoted wheel. If angular acceleration of wheel is 4 π rad/s2, 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
Two particles having mass M and m are moving in a circular path having radius R and r. If their time periods are same, then the ratio of angular velocity will be

  • Physics-Systems of Particles and Rotational Motion-89237.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89238.png
  • 1

  • Physics-Systems of Particles and Rotational Motion-89239.png
A particle of mass m moves along line PC with velocity υ as shown in Fig. What is the angular momentum of the particle about P ?
Physics-Systems of Particles and Rotational Motion-89241.png
  • mυl
  • mυL
  • zero
  • mυr
A circular disc X of radius R is made from an iron plate of thickness t, and another plate Y of radius 4 R is made from an iron plate of thickness t/4. The ratio of moment of inertia IY/IX is
  • 32
  • 16
  • 1
  • 64
A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled, and its K.E. halved, then the new angular momentum is
  • L/4
  • 2 L
  • 4 L
  • L/2
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 Fig. 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-89244.png
  • V/L
  • 2 V/L
  • V/3 L
  • V/4 L
A disc is rolling (without slipping) on a horizontal surface. C is its centre and Q and P are two points equidistant from C, Fig. 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-89246.png
  • VQ > VC > VP
  • VQ < VC < VP
  • VQ = VQ, VC = 1/2VP
  • VQ < VP < VC
A child is standing with folded hands at the centre of a platform rotating about its central 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
  • 2 K
  • K/2
  • K/4
  • 4 K
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

  • Physics-Systems of Particles and Rotational Motion-89249.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89250.png
  • 2 : 3
  • 2 : 1
A body A of mass M while falling vertically downwards under gravity breaks into two parts ; a body B of mass 1/3 M and a body C of mass 2/3 M. The centre of mass of bodies B and C taken together shifts compared to that of body A towards
  • body B
  • body C
  • does not shift
  • depends on height of breaking
A solid sphere is rolling on a frictionless surface as shown in Fig, with a translational velocity υ m/s. If it is to climb the inclined surface, then υ should be
Physics-Systems of Particles and Rotational Motion-89252.png

  • Physics-Systems of Particles and Rotational Motion-89253.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89254.png

  • Physics-Systems of Particles and Rotational Motion-89255.png

  • Physics-Systems of Particles and Rotational Motion-89256.png
A horizontal platform is rotating with uniform angular velocity ω around the vertical axis passing through its centre. At some instant of time, a viscous liquid of mass 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
Two particles A and B are situated at a distance d = 2 m apart. Particle A has a velocity of u = 10 m/s at an angle of 60o and particle B has a velocity υ at an angle 30o as shown in fig. The distance d between A and B is constant. The angular velocity of B with respect to A is
Physics-Systems of Particles and Rotational Motion-89258.png

  • Physics-Systems of Particles and Rotational Motion-89259.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89260.png

  • Physics-Systems of Particles and Rotational Motion-89261.png

  • Physics-Systems of Particles and Rotational Motion-89262.png
The moment of inertia of a thin square plate ABCD of uniform thickness about as axis passing through the centre O and perpendicular to the plate is
Physics-Systems of Particles and Rotational Motion-89264.png
  • I1 + I2
  • I3 + I4
  • I1 + I3
  • I1 + I2 + I3 + I4
Three particles of the same mass lie in the (X, Y) plane, The (X, Y) coordinates of their positions are (1, 1), (2,and (3,respectively. The (X,Y) coordinates of the centre of mass are
  • (1, 2)
  • (2, 2)
  • (1.5, 2)
  • (2, 1.5)
Consider a two-particle system with the particles having masses M1 and M2 . If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved so as to keep the centre of mass at the same position?

  • Physics-Systems of Particles and Rotational Motion-89267.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89268.png

  • Physics-Systems of Particles and Rotational Motion-89269.png

  • Physics-Systems of Particles and Rotational Motion-89270.png
Four particles A, B, C and D of masses m, 2m, 3m and 5m respectively are placed at corners of a square of side x as shown in figure find the coordinate of centre of mass take A at origine of x-y plane.

  • Physics-Systems of Particles and Rotational Motion-89272.png
  • 2)
    Physics-Systems of Particles and Rotational Motion-89273.png

  • Physics-Systems of Particles and Rotational Motion-89274.png

  • Physics-Systems of Particles and Rotational Motion-89275.png
Two blocks of masses 10 kg an 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is :
  • 30 m/s
  • 20 m/s
  • 10 m./s
  • 5 m/s
A particle performing uniform circular motion has angular momentum L., its angular frequency is doubled and its K.E. halved, then the new angular momentum is :
  • 1⁄2
  • 1⁄4
  • 2L
  • 4L
0:0:1


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