its angular velocity becomes
A stone of mass m tied to the end of a string, is whirled around in a horizontal circle. (Neglect the force due to gravity). The length of the string is reduced gradually keeping the angular momentum of the stone about the centre of the circle constant. Then, the tension in the string is given by T=A r^n where A is a constant, r is the instantaneous radius of the circle and n is
23
Oct
A stone of mass m tied to the end of a string, is whirled around in a horizontal circle. (Neglect the force due to gravity). The length of the string is reduced gradually keeping the angular momentum of the stone about the centre of the circle constant. Then, the tension in the string is given [...]
A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m. The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity ω. If the cockroach stops, the angular velocity of the disc will be:
23
Oct
A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m. The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity ω. If the cockroach stops, the angular velocity of the [...]
A child is standing with folded hands at the center of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that moment of inertia of the system doubles. The kinetic energy of the system now is:
23
Oct
A child is standing with folded hands at the center of a platform rotating about its central axis. The kinetic energy of the system is K. The child now stretches his arms so that moment of inertia of the system doubles. The kinetic energy of the system now is: A solid sphere is rotating about [...]
A circular disk of moment of inertia It is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed ωi. Another disk of moment of inertia Ib is dropped coaxially on to the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed ωf . The energy lost by the initially rotating disc to friction is
23
Oct
A circular disk of moment of inertia It is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed ωi. Another disk of moment of inertia Ib is dropped coaxially on to the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant [...]
Two discs of moment of inertia I1 and I2 and angular speeds ω1 and ω2 are rotating along the collinear axes passing through their center of mass and perpendicular to their plane. If the two are made to rotate combindly along the same axis the rotational K.E. of system will be
23
Oct
Two discs of moment of inertia I1 and I2 and angular speeds ω1 and ω2 are rotating along the collinear axes passing through their center of mass and perpendicular to their plane. If the two are made to rotate combindly along the same axis the rotational K.E. of system will be A solid sphere is [...]
A round disc of moment of inertia I2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I1 rotating with an angular velocity ω about the same axis. The final angular velocity of the combination of discs is.
23
Oct
A round disc of moment of inertia I2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I1 rotating with an angular velocity ω about the same axis. The final angular velocity of the combination of discs is. A solid sphere is rotating [...]
A uniform horizontal circular platform of mass 200kg is rotating at 10 rpm about a vertical axis passing through its center. A boy of mass 50kg is standing at its edge. If the boy moves to the center of the platform, the frequency of rotation would become
23
Oct
A uniform horizontal circular platform of mass 200kg is rotating at 10 rpm about a vertical axis passing through its center. A boy of mass 50kg is standing at its edge. If the boy moves to the center of the platform, the frequency of rotation would become A solid sphere is rotating about a diameter [...]
A solid sphere is rotating about a diameter at an angular velocity ω. If it cools so that its radius reduces to I/n of its original value, its angular velocity becomes
23
Oct
A solid sphere is rotating about a diameter at an angular velocity ω. If it cools so that its radius reduces to I/n of its original value, its angular velocity becomes A solid sphere is rotating about a diameter at an angular velocity ω. If it cools so that its radius reduces to I/n of [...]