Related Questions to study
Physics
Four thin metal rods, each of mass M and length L, are welded to form a square ABCD as shown in figure. The moment of inertia of the composite structure about a line which bisects rods AB and CD is
Four thin metal rods, each of mass M and length L, are welded to form a square ABCD as shown in figure. The moment of inertia of the composite structure about a line which bisects rods AB and CD is
PhysicsMechanics
Physics
Two rings of the same radius R and mass M are placed such that their centres coincide and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the common centre and perpendicular to the plane of one of the rings is
Two rings of the same radius R and mass M are placed such that their centres coincide and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the common centre and perpendicular to the plane of one of the rings is
PhysicsMechanics
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
PhysicsMechanics
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
