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Physics
A uniform circular disc of radius 'R' lies in the X-Y plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the X-axis at a distance x = 2R and perpendicular to the X-Y plane is equal to its moment of inertia about an axis passing through a point on the Y-axis at a distance y = d and parallel to the X-axis in the X-Y plane. The value of 'd' is
A uniform circular disc of radius 'R' lies in the X-Y plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the X-axis at a distance x = 2R and perpendicular to the X-Y plane is equal to its moment of inertia about an axis passing through a point on the Y-axis at a distance y = d and parallel to the X-axis in the X-Y plane. The value of 'd' is
PhysicsMechanics
Physics
A thin rod of length L and mass M is bent at the middle point O at an angle of 0 60 . The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be
A thin rod of length L and mass M is bent at the middle point O at an angle of 0 60 . The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be
PhysicsMechanics
Physics
Four identical solid spheres each of mass M and radius R are fixed at four corners of a light square frame of side length 4R such that centres of spheres coincide with corners of square. The moment of inertia of 4 spheres about an axis perpendicular to the plane of frame and passing through its centre is
Four identical solid spheres each of mass M and radius R are fixed at four corners of a light square frame of side length 4R such that centres of spheres coincide with corners of square. The moment of inertia of 4 spheres about an axis perpendicular to the plane of frame and passing through its centre is
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Physics
A square plate of mass M and edge L is shown in figure. The moment of inertia of the plate about the axis in the plane of plate and passing through one of its vertex making an angle 15° with the horizontal is
A square plate of mass M and edge L is shown in figure. The moment of inertia of the plate about the axis in the plane of plate and passing through one of its vertex making an angle 15° with the horizontal is
PhysicsMechanics
Physics
A particle of mass m is released from rest at point A which falls parallel tot eh vertical direction. Angular momentum of that particle as function of time l with respect to origin O is
A particle of mass m is released from rest at point A which falls parallel tot eh vertical direction. Angular momentum of that particle as function of time l with respect to origin O is
PhysicsMechanics
Physics
A uniform rod AB of mass m and length L is at rest on a smooth horizontal surface . An impulse J is applied to the end B perpendicular to the rod is horizontal direction . Speed of point P at distance 
from the centre towards A of the rod after time 
is
A uniform rod AB of mass m and length L is at rest on a smooth horizontal surface . An impulse J is applied to the end B perpendicular to the rod is horizontal direction . Speed of point P at distance from the centre towards A of the rod after time is
PhysicsMechanics
Physics
Two particles each of mass m are attached at the ends of a massless rod of length L which is on a smooth table at rest. An impulse J is applied to one particle along a direction perpendicular to the length of the rod. Immediately after that , angular velocity of the rod would be
Two particles each of mass m are attached at the ends of a massless rod of length L which is on a smooth table at rest. An impulse J is applied to one particle along a direction perpendicular to the length of the rod. Immediately after that , angular velocity of the rod would be
PhysicsMechanics
Physics
A thin uniform rod of mass m and length L is force to rotate about its upper and when it is at rest , it receives an impulse J at its lower point , normal to its length , immediately, after impact
A thin uniform rod of mass m and length L is force to rotate about its upper and when it is at rest , it receives an impulse J at its lower point , normal to its length , immediately, after impact
PhysicsMechanics
Physics
A particle of mass 
is moving with a uniform speed in the XOY plane along the line 
. The magnitude of the angular momentum of the particle about the origin is
A particle of mass is moving with a uniform speed in the XOY plane along the line . The magnitude of the angular momentum of the particle about the origin is
PhysicsMechanics
Physics
A stone is whirled along a circle with a constant angular velocity and its angular momentum is L. If the radius of its circular path is halved while keeping the angular velocity same , its new angular momentum would be
A stone is whirled along a circle with a constant angular velocity and its angular momentum is L. If the radius of its circular path is halved while keeping the angular velocity same , its new angular momentum would be
PhysicsMechanics
Physics
A uniform rod of mass m and length 2l is rotating about an axis passing through its centre and perpendicular to its length. If is its angular velocity , its angular momentum about that axis is
A uniform rod of mass m and length 2l is rotating about an axis passing through its centre and perpendicular to its length. If is its angular velocity , its angular momentum about that axis is
PhysicsMechanics
Physics
A uniform circular disc of mass M and radius R rolls without slipping on a horizontal surface. If the velocity of its centre is v0, then the total angular momentum of the disc about a fixed point P at a height 3R/2 about the centre C.
A uniform circular disc of mass M and radius R rolls without slipping on a horizontal surface. If the velocity of its centre is v0, then the total angular momentum of the disc about a fixed point P at a height 3R/2 about the centre C.
PhysicsMechanics
Physics
A disc of mass m, and radius R moves in the X-Y planes as shown in figure. The angular momentum of the disc about the origin O at the instant shown is
A disc of mass m, and radius R moves in the X-Y planes as shown in figure. The angular momentum of the disc about the origin O at the instant shown is
PhysicsMechanics
Physics
A cube of mass ‘m’ and side ‘a’ moving along with a constant speed v0 as shown in figure. The magnitude of angular momentum of cube about z-axis would be
A cube of mass ‘m’ and side ‘a’ moving along with a constant speed v0 as shown in figure. The magnitude of angular momentum of cube about z-axis would be
PhysicsMechanics
Physics
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