JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 16 - MCQExams.com

Three particles, each of mass m are placed at the corners of a right angled triangle as shown in Fig. If OA = a and OB = b, the position vector of the centre of mass is
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A uniform bar of length 6 α and mass 8 m lies on a smooth horizontal table. Two point masses m and 2 m moving in the same horizontal plane with speeds 2 v and v resp. strike the bar as shown in fig. and stick to the bar after collision. Denoting angular velocity about the centre of mass, total energy and centre of mass velocity by ω, E and vc respectively, we have after collision
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The centre of mass of a systems of two particles is
  • on the line joining them and midway between them
  • on the line joining them at a point whose distance from each particle is proportional to the square of the mass of that particle.
  • on the line joining them at a point whose distance from each particle inversely propotional to the mass of that particle.
  • On the line joining them at a point whose distance from each particle is proportional to the mass of that particle.
Particles of 1 gm, 1 gm, 2 gm, 2 gm are placed at the corners A, B, C, D, respectively of a square of side 6 cm as shown in figure. Find the distance of centre of mass of the system from geometrical centre of square.
Physics-Systems of Particles and Rotational Motion-90386.png
  • 1 cm
  • 2 cm
  • 3 cm
  • 4 cm
From a uniform circular disc of radius R, a circular disc of radius R/6 and having centre at a distance + R/2 from the centre of the disc is removed. Determine the centre of mass of remaining portion of the disc.

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    Physics-Systems of Particles and Rotational Motion-90389.png

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A circular plate of uniform thickness has a diameter of 56 cm. A circular portion of diameter 42 cm. is removed from +ve x edge of the plate. Find the position of centre of mass of the remaining portion with respect to centre of mass of whole plate.
  • – 7 cm
  • + 9 cm
  • – 9 cm
  • + 7 cm
A circular disc of radius R is removed from a bigger disc of radius 2R. such that the circumferences of the disc coincide. The centre of mass of the remaining portion is R from the centre of mass of the bigger disc. The value of α is.
  • 1⁄2
  • 1/6
  • 1⁄4
  • 1/3
A cylinder of mass 5 kg and radius 30 cm, and free to rotate about its axis, receives an angular impulse of 3 kgm2s–1 initially followed by a similar impulse after every 4 sec. what is the angular speed of the cylinder 30 sec after initial imulse ? The cylinder is at rest initially.
  • 106.7 rad s–1
  • 206.7 rad s–1
  • 107.6 rad s–1
  • 207.6 rad s–1
Two circular loop A & B of radii ra and rb respectively are made from a uniform wire. The ratio of their moment of inertia about axes passing through their centres and perpendicular to their planes is IB/IA = 8, then rb/ra Ra is equal to...
  • 2
  • 4
  • 6
  • 8
A circular disc of radius R and thickness R/6 has moment of inertia I about an axis passing through its centre and perpendicular to its plane. It is melted and recasted in to a solid sphere. The moment of inertia of the sphere about its diameter as axis of rotation is ...
  • I
  • 2I/8
  • I/5
  • I/10
A thin wire of length L and uniform linear mass density ρ is bent in to a circular loop with centre at O as shown in figure. The moment of inertia of the loop about the axis xx\' is ....
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A straight rod of length L has one of its ends at the origin and the other end at x=L If the mass per unit length of rod is given by Ax where A is constant where is its center of mass.
  • L/3
  • L/2
  • 2L / 3
  • 3L / 4
A uniform rod of length 2L is placed with one end in contact with 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.....

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    Physics-Systems of Particles and Rotational Motion-90406.png

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A cubical block of side a is moving with velocity V on a horizontal smooth plane as shown in figure. It hits a ridge at point O. The angular speed of the block after it hits O is ....

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    Physics-Systems of Particles and Rotational Motion-90411.png

  • Physics-Systems of Particles and Rotational Motion-90412.png
  • zero
Consider a body as shown in figure, consisting of two identical bulls, 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. What is V ?
  • V / L
  • 2V / L
  • V / 3L
  • V / 4L
A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity w. Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity....

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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 portion about an axis perpendicular to the plane of the disc and passing through O is....

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    Physics-Systems of Particles and Rotational Motion-90421.png

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Two disc one of the density 7.2 gm/cc and other of density 8.9 gm/cc are of the same mass and thickness their moment of inertia are in the ratio of ......

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A Pulley of radius 2 m is rotated about its axis by a force F = (20t – 5t2)N where t is in sec applied tangentially. If the moment of inertia of the Pulley about its axis of rotation is 10KgM2 the number of rotations made by the pulley before its direction of motion is reversed is
  • more than 3 but less then 6
  • more than 6 but less then 9
  • more than 9
  • Less then 3
Four particles each of mass \'m\' are lying symmetrically on the rim of the disc of mass M and radius R moment of inertia of this system about an axis passing through one of the particles and perpendicular to plane of disc is _____

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    Physics-Systems of Particles and Rotational Motion-90432.png

  • Physics-Systems of Particles and Rotational Motion-90433.png
  • Zero
A mass M is supported by a mass less string wound around a uniform cylinder of mass M and radius R as in figure. With what acceleration will the mass fall on release?
  • 2/3g
  • g/2
  • g
  • 4g/3

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A cord is wound round the circumference of wheel of radius r. the axis of the wheel is horizontal and moment of inertia about it is I A weight mg is attached to the end of the cord and falls from the rest. After falling through the distance h. the angular velocity of the wheel will be....

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A meter stick of mass 400 gm is pivoted at one end and displaced through an angle 60o the increase in its P.E. is ______ J.
  • 2
  • 3
  • 0
  • 1
Tow uniform rod of equal length but different masses are rigidly joined to form L shaped body which is then pivoted as shown. If in equilibrium the body is in the shown configuration ratio M/m will be.......
Physics-Systems of Particles and Rotational Motion-90448.png
  • 2
  • 3
  • √2
  • √3
A light rod carries three equal masses A, B and C as shown in the figure the velocity of B in vertical position of rod if it is released from horizontal position as shown in the figure is .......
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A gramophone record of mass M and radius R is rotating with angular speed W. If two pieces of wax each of mass M are kept on it at a distance of R/2 from the centre on opposite side then the new angular velocity will be.....

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The moment of inertia of a uniform rod about a perpendicular axis passing through one of its ends is I1. The same rod is bent in to a ring and its moment of inertia about a diameter is I2. Then I1/I2

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A uniform disc of mass 500kg and radius 2 m is rotating at the rate of 600 r.p.m. what is the torque required to rotate the disc in the opposite direction with the same angular speed in a time of 100 sec ?
  • 600πNm
  • 500πNm
  • 400πNm
  • 300πNm
How much constant force should be applied tangential to equator of the earth to stop its rotation in one day ?

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  • 2)
    Physics-Systems of Particles and Rotational Motion-90474.png

  • Physics-Systems of Particles and Rotational Motion-90475.png
  • None of these
A disc of mass M and radius R is rolling with angular speed w on a horizontal plane, as shown in figure. The magnitude of angular momentum of the disc about the origin O is ______

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A mass m is moving with a constant velocity along the line parallel to the x-axis, away from the origin. Its angular momentum with respect to the origin
  • Zero
  • remains constant
  • goes on increasing
  • goes on decreasing
A body is rolling down an incline plane. If the rotational K.E. of the body is 40% of its translational K.E. then the body is ....
  • ring
  • Cylinder
  • solid sphere
  • hollow sphere
A binary star consist of two stars A (2.2 Ms) and B(mass 11Ms) where Ms is the mass of sun. They are separated by distance d and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star B. about the centre of mass is _____.
  • 6
  • 1/4
  • 12
  • 1/2

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  • ring
  • solid sphere
  • disc
  • hollow sphere
A particle of mass m slides down on inclined plane and reaches the bottom with linear velocity V. If the same mass is in the form of ring and rolls without slipping down the same inclined plane. Its velocity will be______.
  • V
  • 2)
    Physics-Systems of Particles and Rotational Motion-90487.png

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  • Physics-Systems of Particles and Rotational Motion-90489.png
Moment of inertia of a sphere of mass M and radius R is I. keeping mass constant if graph is plotted between I and R then its form would be.

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    Physics-Systems of Particles and Rotational Motion-90492.png

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According to the theorem of parallel axis I = Icm + md2 the graph between I → d will be

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The graphs between angular momentum L and angular velocity w will be.

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  • Physics-Systems of Particles and Rotational Motion-90503.png
The graphs between loge L and loge P is ____ where L is angular momentum and P is linear momentum

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  • Physics-Systems of Particles and Rotational Motion-90507.png
Let Er is the rotational kinetic energy and L is angular momentum then the graph between LogeEr and logeL can be

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    Physics-Systems of Particles and Rotational Motion-90510.png

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Statement – 1 — If there is no external torque on a body about its centre of mass, then the velocity of the centre of mass remains constant.
Statement – 2 — The Linear momentum of an isolated system remains constant.
  • Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1
  • Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1
  • Statement – 1 is true, statement – 2 is false
  • Statement – 2 is false, statement – 2 is true
Statement – 1 —Two cylinder one hollow and other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow will reach the bottom of inclined plane first.
Statement – 2 — By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.
  • Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1
  • Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1
  • Statement – 1 is true, statement – 2 is false
  • Statement – 2 is false, statement – 2 is true
A Solid sphere of mass M and radius R is released from rest at the top of a frictionless inclined plane of length \'d\' and inclination ?.
In case (a) it rolls down the plane without slipping and in case (b) it slides down the plane
The ratio of the velocity of the spheres when it reaches the bottom of the plane in case (a) to that in case (b) is

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    Physics-Systems of Particles and Rotational Motion-90517.png

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A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle θ with the horizontal.
The acceleration of the centre of mass of the disc is

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  • 2)
    Physics-Systems of Particles and Rotational Motion-90522.png

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  • Physics-Systems of Particles and Rotational Motion-90524.png
A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle θ with the horizontal.
The frictional force on the disc is

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  • 2)
    Physics-Systems of Particles and Rotational Motion-90527.png

  • Physics-Systems of Particles and Rotational Motion-90528.png
  • None
A solid cylinder of mass M and R is mounted on a frictionless horizontal axle so that it can freely rotate about this axis. A string of negligible mass is wrapped round the cylinder and a body of mass m is hung from the string as shown in figure the mass is released from rest then___
The acceleration with which the mass falls is
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  • g
  • 2)
    Physics-Systems of Particles and Rotational Motion-90531.png

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The angular speed of cylinder is proportional to hn , where h is the height through which mass falls, Then the value of n is___
  • zero
  • 1
  • 1/2
  • 2
The moment of inertia of a uniform circular disc of mass M and radius R about any of its diameter is 1⁄4MR2 , what is the moment of inertia of the disc about an axis passing through its centre and normal to the disc?

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