A Disc of mass m and radius R moves in the x-y plane as shown in figure. The angular momentum of the disc about the origin O at the instant shown is
Sahay Sir > Question Answers > A Disc of mass m and radius R moves in the x-y plane as shown in figure. The angular momentum of the disc about the origin O at the instant shown is
A uniform disk turns at 2.4 rev/s around a frictionless axis. A non rotating rod, of the same mass as the disk and length equal to the disk’s diameter is dropped onto the freely spinning disk (see the figure). They then both turn around the axis with their centres superposed. What will be the angular frequency in rev/s of the combination when they start rotating together.
30
Sep
A uniform disk turns at 2.4 rev/s around a frictionless axis. A non rotating rod, of the same mass as the disk and length equal to the disk’s diameter is dropped onto the freely spinning disk (see the figure). They then both turn around the axis with their centres superposed. What will be the angular [...]
Figure shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the comon axis. The strings supporting A and B do not slip on the wheels. If x and y be the distances travelled by A and B in the same time interval, then
30
Sep
Figure shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the comon axis. The strings supporting A and B do not slip on the wheels. If x and y be the distances travelled by A and B in the same time interval, then A Disc of [...]
A spool of mass M and radius 2R lies on an inclined plane as shown in figure. A light thread is wound around the connecting tube of the spool and its free end carries a weight of mass m. The value of m so that system is in equilibrium is
30
Sep
A spool of mass M and radius 2R lies on an inclined plane as shown in figure. A light thread is wound around the connecting tube of the spool and its free end carries a weight of mass m. The value of m so that system is in equilibrium is A Disc of mass m [...]
A ball of mass m and radius r rolls inside a fixed hemispherical shell of radius R. It is released from rest from point A as shown in figure. The angular velocity of centre of the ball in position B about the centre of the shell is.
30
Sep
A ball of mass m and radius r rolls inside a fixed hemispherical shell of radius R. It is released from rest from point A as shown in figure. The angular velocity of centre of the ball in position B about the centre of the shell is. A Disc of mass m and radius R [...]
A circular platform is mounted on a vertical frictionless axle. Its radius r = 2 m and its moment of interia is I = 200 kg m^2. It is initially at rest. A 70 kg man stands on the edge at speed v0 = 10 m/s relative to the ground. The angular velocity of the platform is
30
Sep
A circular platform is mounted on a vertical frictionless axle. Its radius r = 2 m and its moment of interia is I = 200 kg m^2. It is initially at rest. A 70 kg man stands on the edge at speed v0 = 10 m/s relative to the ground. The angular velocity of the [...]
A horizontal turn table in the form of a disc of radius r carries a gun at G and rotates with angular velocity ω 0 about a vertical axis passing through the centre O. The increase in angular velocity of the system if the gun fires a bullet of mass m with a tangential velocity v with respect to the gun is (moment of inertia of gun+table about O is I 0 )
30
Sep
A horizontal turn table in the form of a disc of radius r carries a gun at G and rotates with angular velocity ω 0 about a vertical axis passing through the centre O. The increase in angular velocity of the system if the gun fires a bullet of mass m with a tangential velocity [...]
A horizontal turn table in the form of a disc of radius r carries a gun at G and rotates with angular velocity ω0 about a vertical axis passing through the centre O. The increase in angular velocity of the system if the gun fires a bullet of mass m with a tangential velocity v with respect to the gun is (moment of inertia of gun + table about O is I0
30
Sep
A horizontal turn table in the form of a disc of radius r carries a gun at G and rotates with angular velocity ω0 about a vertical axis passing through the centre O. The increase in angular velocity of the system if the gun fires a bullet of mass m with a tangential velocity v [...]
In the figure shown mass of both, the spherical body and block is m. Moment of inertia of the spherical body about centre of mass is 2 mR^2 . The spherical body rolls on horizontal surface. There is no slipping at any surfaces in contact. The ratio of kinetic energy of the spherical body to that of block is
30
Sep
In the figure shown mass of both, the spherical body and block is m. Moment of inertia of the spherical body about centre of mass is 2 mR^2 . The spherical body rolls on horizontal surface. There is no slipping at any surfaces in contact. The ratio of kinetic energy of the spherical body to [...]
Two cylinders having radii 2R and R and moment of inertia 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity ω0. The small cylinder is moved to the right until it touches the large cylinder and is caused to rotate by the frictional force between the two. Eventually slipping ceases and the two cylinders rotate at constant rates in opposite directions. During this
30
Sep
Two cylinders having radii 2R and R and moment of inertia 4I and I about their central axes are supported by axles perpendicular to their planes. The large cylinder is initially rotating clockwise with angular velocity ω0. The small cylinder is moved to the right until it touches the large cylinder and is caused to [...]
A mass m is moving at speed v perpendicular to a rod of length d and mass M = 6 m pivots around a frictionless axle running through its centre and stickes to the end of the rod. The moment of inertia od the rod about its centre is Md 2/12. Then the angular speed of the system right after the collision us –
30
Sep
A mass m is moving at speed v perpendicular to a rod of length d and mass M = 6 m pivots around a frictionless axle running through its centre and stickes to the end of the rod. The moment of inertia od the rod about its centre is Md 2/12. Then the angular speed [...]