JEE Questions for Physics Systems Of Particles And Rotational Motion Quiz 4 - MCQExams.com


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A round disc of moment of inertia I2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I1 rotating with an angular velocity ω, about the same axis. The final angular velocity of the combination of discs is

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A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocity ω. Two objects each of mass M are attached gently to the opposite ends of a diameter of the ring. The opposite ends of a diameter of the ring. The ring now rotates with an angular velocity ω is equal to

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A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 1 kg-m2 and its rate of rotation 2 rev/s. The angular momentum is
  • 1.257 kg–m2 s -1
  • 12.57 kg–m2 s -1
  • 13.57 kg–m2 s -1
  • 20 kg–m2 s -1
  • 1.357 kg–m2 s -1

Physics-Systems of Particles and Rotational Motion-88992.png
  • zero
  • 60 unit
  • 7.5 unit
  • 40√2 unit
  • 3.0 unit
A uniform rod of length 8a and mass 6m lies on a smooth horizontal surface. Two point masses m and 2m moving in the same plane with speed 2v and v respectively strike the rod perpendicular at distances a and 2a from the mid-point of the rod in the opposite directions and stick to the rod. The angular velocity of the system immediately after the collision is

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What is the magnitude of torque acting on a particle moving in the xy-plane about the origin if its angular momentum is 4√t kg – M2S-1 ?
  • 8t3/2
  • 4/√t
  • 2/√t
  • 3/2√t
A solid sphere of mass m rolls down an inclined plane without slipping, starting from rest at the top of an inclined plane. The linear speed of the sphere at the bottom of the inclined plane is v. The kinetic energy of the sphere at the

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A thin uniform rod of length l, and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is co. Its centre of mass rises to a maximum height of

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A sphere of mass m and radius r rolls on a horizontal plane without slipping with the speed u. Now, if it rolls up vertically then maximum height, it would attain will be

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A ring starts to roll down the inclined plane of height h without slipping. The velocity with which it reaches the ground is

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A solid cylinder is rolling down on an inclined plane of angle θ. The coefficient of static fraction between the plane and cylinder is µ s . Then condition for the cylinder not to slip is

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When the angle of inclination of an inclined plane is θ, an object slides down with uniform velocity. If the same object is pushed up with a initial velocity u on the same inclined plane, it goes up the plane and stops at a certain distance on the plane. There after the body
  • slides down the inclined plane and reaches the ground with velocity u.
  • slides down the inclined plane and reaches the ground with velocity less than u.
  • slides down the inclined plane and reaches the ground with velocity greater than u.
  • stays at rest on the inclined plane and will not slide down.
An annular ring with inner and outer radii R1 and R2 is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated . on the inner and outer parts of the ring,
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  • 1

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Fig. shows a body of mass m moving with a uniform speed υ along a circle of radius r. The change in speed in going from C to D is
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  • v
  • v/2

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  • zero
Two point masses m and M are separated by a distance L. The distance of the centre of mass of the system from m is

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Four similar point masses (m each) are symmetrically placed on the circumference of a disc of mass M and radius R. M.I. of the system about an axis passing through centre O and perpendicular to the plane of the disc will be
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Two circular rings have their masses in the ratio of 1 : 2 and their diameters in the ratio of 2 : 1. The ratio of their moment of inertia is
  • 1 : 4
  • 2 : 1
  • 4 : 1
  • √2 : 1
In a rectangle ABCD (BC=2 AB), the moment of inertia is minimum along an axis through
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  • HF
  • EG
  • BC
  • BD
A couple produces a
  • pure linear motion
  • pure rotational motion
  • both linear and rotational motion
  • no motion
Which of these statements is not correct ?
  • Moment of inertia is dependent on shape and size of the body
  • Moment of inertia depends on choice of axes
  • Moment of inertia does not depend on mass of body
  • None of these
An annular ring with inner and outer radii R1 and R2 is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, F1/F2 is

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  • 1

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The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is

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A solid cylinder of mass 20 kg has length 1 m and radius 0.2 m. Then its moment of inertia in kg m2 about its geometrical axis is
  • 0.8
  • 0.4
  • 0.2
  • 20.4
A cricket bat is cut at the location of its centre of mass as shown. Then
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  • the two pieces will have the same mass
  • the bottom piece will have larger mass
  • the handle piece will have larger mass
  • cannot say
A body of mass m is tied to one end of spring and whirled round in a horizontal plane with a anstant angular velocity. The elongation in the spring is one centimeter. If the angular velocity is doubted, the elongation in the spring is 5 cm. The original length of spring is...
  • 16 cm
  • 15 cm
  • 14 cm
  • 13 cm

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Identify the correct statement for the rotational motion of a rigid body
  • Individual particles of the body do not undergo accelerated motion
  • The center of mass of the body remains unchanged.
  • The center of mass of the body moves uniformly in a circular path
  • Individual particle and centre of mass of the body undergo an accelerated motion.
A wheel rotates with a constant acceleration of 2.0 rad/sec2 If the wheel start from rest. The number of revolution it makes in the first ten seconds will be approximately.
  • 8
  • 16
  • 24
  • 32
One circular rig and one circular disc both are having the same mass and radius. The ratio of their moment of inertia about the axes passing through their centres and perpendicular to their planes, will be......
  • 1 : 1
  • 2 : 1
  • 1 : 2
  • 4 : 1
In a bicycle the radius of rear wheel is twice the radius of front wheel. If rF and rr the radius, vF and vr are speed of top most points of wheel respectively then...
  • vr = 2vF
  • vF = 2vr
  • vF = vr
  • vF > vr
If the angular momentum of any rotating body increases by 200%, then the increase in its kinetic energy will be.....
  • 400%
  • 800%
  • 200%
  • 100%
The M.I. of a body about the given axis is 1.2 kgm2 initially the body is at rest. In order to produce a rotational kinetic energy of 1500 J. an angular acceleration of 25 rad/sec2 must be applied about that axis for duration of ....
  • 4 sec
  • 2 sec
  • 8 sec
  • 10 sec
An automobile engine develops 100kw when rotating at a speed of 1800 r.p.m. what torque does it deliver ?
  • 350 Nm
  • 440 Nm
  • 531 Nm
  • 628 Nm
The moment of inertia of two rotating bodies A and B are IA and IB.(IA > IB) and their angular momentum are equal. If their K.E. be KA and KB respectively then....
  • KA, KB
  • KB/KA > 1
  • KA/KB = 1
  • KB/KA = 1/2
If distance of the earth becomes three times that of the present distance from the sun then number of days in one year will be ....
  • 365 × 3
  • 365 × 27

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Two identical hollow spheres of mass M and radius R are joined together and the combination is rotated about an axis tangential to one sphere and perpendicular to the line connecting their centers. The moment of inertia of the combination is ________.
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If rotational K.E. is 50% of translational K.E. then the body is .....
  • Ring
  • solid cylinder
  • Hollow sphere
  • Solid sphere
The moment of inertia of a meter scale of mass 0.6kg about an axi perpendicular to the scale and passing through 30 cm position on the scale is given by (Breath of scale is negligible). ________
  • 0.104 mkg2
  • 0.208 mkg2
  • 0.074 mkg2
  • 0.148 mkg2
A constant torque of 1500 Nm turns a wheel of moment of inertia 300 kgm2 about an axis passing through its centre the angular velocity of the wheel after 3 sec will be.......... rad/sec
  • 5
  • 10
  • 15
  • 20
Match list I with list II and select the correct answer.
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  • A
  • B
  • C
  • D
Statement – 1— A sphere and a cylinder slide without rolling from rest from the top of an inclined plane. They will reach the bottom with the same speed.
Statement – 2 — Bodies of all shapes, masses and sides slide down a plane with the same acceleration.
  • 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— Friction is necessary for a body to roll on surface
Statement – 2— Friction provides the necessary tangential force and torque.
  • 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— A body tied to a string is moved in a circle with a uniform speed. If the string suddenly breaks the angular momentum of the body becomes zero.
Statement – 2 — The torque on the body equals to the rate of change of angular momentum.
  • 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
Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be
  • 5I
  • 6I
  • 3I
  • 4I
A wheel of mass 10 kg has a moment of inertia of 160 kg-m2 about its own axis, the radius of gyration will be
  • 10 m
  • 8 m
  • 6 m
  • 4 m
Moment of inertia of a thin circular disc of mass M and radius R about any diameter is

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    Physics-Systems of Particles and Rotational Motion-89091.png
  • MR2
  • 2MR2
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
An automobile engine develops 100 kW when rotating at a speed of 1800 rev/min. What torque does it deliver ?
  • 350 N-m
  • 440 N-m
  • 531 N-m
  • 628 N-m
0:0:1


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