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Easy
Question
A child with mass m is standing at the edge of a mery-go-round having moment as shown in the figure. The 
of inertia I, radius R and initial angular velocity child jumps off the edge of the merry-go-round with tangential velocity v with respect to the ground. The new angular velocity of the merry-go-round is :
The correct answer is:
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Two balls each of mass 2 kg are fastened to the opposite ends of a massless rod of length 4 m. The rod is pivoted on a fixed axis through its centre. The ball and the rod are initially at rest. A 2 kg block moving with some initial velocity hits the lower ball and stick to it as shown in the figure. After collision, the system has an angular velocity 2 ms–1 about the pivot. The rod stops rotating when the lower mass is at the height.
Two balls each of mass 2 kg are fastened to the opposite ends of a massless rod of length 4 m. The rod is pivoted on a fixed axis through its centre. The ball and the rod are initially at rest. A 2 kg block moving with some initial velocity hits the lower ball and stick to it as shown in the figure. After collision, the system has an angular velocity 2 ms–1 about the pivot. The rod stops rotating when the lower mass is at the height.
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A massless rod of length 2R can rotate about a vertical axis through its when w centre as shown in the Fig The system rotates at angular velocity the two masses m are at a distance R from the axis. The masses are simultaneously pulled to distance of R/2 from the axis by a force F directed along the rod. The new angular velocity of the system is
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A particle P with a mass 2.0 kg has position vector r = 3.0 m and velocity V = 4.0 m/s as shown. It is accelerated by the force F = 2.0N. All three vectors lie in a common plane. The angular momentum vector is
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A uniform rod of length L and mass M is free to rotate about a frictionless pivot at one end as shown in the figure. The rod is released form rest in the horizontal position
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Two boys of equal masses m walk symmetrically on a uniform horizontal plank, which is hinged at mid-point. The graph of force applied by hinge on plank (N) v/s x is
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Moment of inertia of a rod of mass m and length l about its one end is I. If one fourth of its length is cut away then moment of inertia of the remaining rod about its one end will be
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A wheel comprises of a ring having mass 2m and two rods (mass m and length l) along two diameters as shown. Find moment of inertia of the wheel about an axis passing through point P and perpendicular to the plane of wheel.
A wheel comprises of a ring having mass 2m and two rods (mass m and length l) along two diameters as shown. Find moment of inertia of the wheel about an axis passing through point P and perpendicular to the plane of wheel.
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Let I1 , I2 and I3 be the moment of inertia of a uniform square plate about axes AOC, xDx' and yBy' respectively as shown in the figure. The moments of inertia of the plate I1 : I2 : I3 are in the ratio.
Let I1 , I2 and I3 be the moment of inertia of a uniform square plate about axes AOC, xDx' and yBy' respectively as shown in the figure. The moments of inertia of the plate I1 : I2 : I3 are in the ratio.
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From a disc of mass 2 kg and radius 4 m a small disc of radius 1 m is extracted where O' is at distance of 2m from centre O of disc. Find new M.I. about an axis passing through O perpendicular to plane of disc.
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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 tangent to one sphere and perpendicular to the line connecting them. The rotational inertia of the combination is
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Four point masses 2kg, 4 kg, 6kg and 8kg are placed at four corners of a square of side 10cm. The radius of gyration of system about an axis passing through centre O and perpendicular to square plane is
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Figure shows an isosceles triangular plate of mass M and base length l. The apex lies at the origin and the angle at the apex is 90°. The base is parallel to x-axis. The moment of inertia of the plate about the x-axis is
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Two identical rings each of mass m with their planes mutually perpendicular, radius R are welded at their point of contact O. If the system is free to rotate about an axis passing through the point P perpendicular to the plane of the paper the moment of inertia of the system about this axis is equal to
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physics-General
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Moment of inertial of a triangle plane of mass M shown in figure about vertical axis AB is :
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physics-General
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The figure below shows four parallel plate capacitors : A, B, C and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain = 5.kdielectrics with constant
Which capacitor has the largest potential difference between its plates?
The figure below shows four parallel plate capacitors : A, B, C and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain = 5.kdielectrics with constant
Which capacitor has the largest potential difference between its plates?
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