In the figure shown mass of both
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 [...]