Work, Energy & Power in Case of Rotation of a Rigid Body about Fixed Axis
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366255 A constant power is supplied to a rotating disc. The relationship between the angular velocity \((\omega)\) of the disc and number of rotations \((n)\) made by the disc is governed by

1 \(\omega \propto {n^{\frac{1}{3}}}\)
2 \(\omega \propto {n^{\frac{2}{3}}}\)
3 \(\omega \propto {n^{\frac{3}{2}}}\)
4 \(\omega \propto {n^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366256 The moment of inertia of a flywheel having kinetic energy with angular velocity \(1\,\,rad{s^{ - 1}}\) is numerically equal to

1 Half of the rotational kinetic energy
2 One-forth of its rotational kinetic energy
3 Twice the rotational kinetic energy
4 Rotational kinetic energy
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366257 A block of mass \(2\;kg\) is attached to one end of a massless rod of length \(\dfrac{1}{\pi} m\). The rod is fixed to a horizontal plane at the other end such that the block and rod are free to revolve on a horizontal plane. The coefficient of friction between the block and surface is 0.1 . Block is made to rotate with uniform speed by applying a constant external force in tangential direction on the block. The work done by external force when the rod rotates by \(90^{\circ}\) is

1 0
2 10 joule
3 \(\dfrac{\pi}{2}\) joule
4 1 joule
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366258 A body having a moment of inertia about its axis of rotation equal to \(3\;kg\;{m^2}\) is rotating with angular velocity of \(3\,rad{s^{ - 1}}\). Kinetic energy of this rotating body is same as that of a body of mass \(27\;kg\) moving with velocity \(v\). The value of \(v\) is

1 \(2\;m\;{s^{ - 1}}\)
2 \(1\;m\;{s^{ - 1}}\)
3 \(1.5\;m\;{s^{ - 1}}\)
4 \(0.5\;m\;{s^{ - 1}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366255 A constant power is supplied to a rotating disc. The relationship between the angular velocity \((\omega)\) of the disc and number of rotations \((n)\) made by the disc is governed by

1 \(\omega \propto {n^{\frac{1}{3}}}\)
2 \(\omega \propto {n^{\frac{2}{3}}}\)
3 \(\omega \propto {n^{\frac{3}{2}}}\)
4 \(\omega \propto {n^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366256 The moment of inertia of a flywheel having kinetic energy with angular velocity \(1\,\,rad{s^{ - 1}}\) is numerically equal to

1 Half of the rotational kinetic energy
2 One-forth of its rotational kinetic energy
3 Twice the rotational kinetic energy
4 Rotational kinetic energy
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366257 A block of mass \(2\;kg\) is attached to one end of a massless rod of length \(\dfrac{1}{\pi} m\). The rod is fixed to a horizontal plane at the other end such that the block and rod are free to revolve on a horizontal plane. The coefficient of friction between the block and surface is 0.1 . Block is made to rotate with uniform speed by applying a constant external force in tangential direction on the block. The work done by external force when the rod rotates by \(90^{\circ}\) is

1 0
2 10 joule
3 \(\dfrac{\pi}{2}\) joule
4 1 joule
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366258 A body having a moment of inertia about its axis of rotation equal to \(3\;kg\;{m^2}\) is rotating with angular velocity of \(3\,rad{s^{ - 1}}\). Kinetic energy of this rotating body is same as that of a body of mass \(27\;kg\) moving with velocity \(v\). The value of \(v\) is

1 \(2\;m\;{s^{ - 1}}\)
2 \(1\;m\;{s^{ - 1}}\)
3 \(1.5\;m\;{s^{ - 1}}\)
4 \(0.5\;m\;{s^{ - 1}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366255 A constant power is supplied to a rotating disc. The relationship between the angular velocity \((\omega)\) of the disc and number of rotations \((n)\) made by the disc is governed by

1 \(\omega \propto {n^{\frac{1}{3}}}\)
2 \(\omega \propto {n^{\frac{2}{3}}}\)
3 \(\omega \propto {n^{\frac{3}{2}}}\)
4 \(\omega \propto {n^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366256 The moment of inertia of a flywheel having kinetic energy with angular velocity \(1\,\,rad{s^{ - 1}}\) is numerically equal to

1 Half of the rotational kinetic energy
2 One-forth of its rotational kinetic energy
3 Twice the rotational kinetic energy
4 Rotational kinetic energy
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366257 A block of mass \(2\;kg\) is attached to one end of a massless rod of length \(\dfrac{1}{\pi} m\). The rod is fixed to a horizontal plane at the other end such that the block and rod are free to revolve on a horizontal plane. The coefficient of friction between the block and surface is 0.1 . Block is made to rotate with uniform speed by applying a constant external force in tangential direction on the block. The work done by external force when the rod rotates by \(90^{\circ}\) is

1 0
2 10 joule
3 \(\dfrac{\pi}{2}\) joule
4 1 joule
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366258 A body having a moment of inertia about its axis of rotation equal to \(3\;kg\;{m^2}\) is rotating with angular velocity of \(3\,rad{s^{ - 1}}\). Kinetic energy of this rotating body is same as that of a body of mass \(27\;kg\) moving with velocity \(v\). The value of \(v\) is

1 \(2\;m\;{s^{ - 1}}\)
2 \(1\;m\;{s^{ - 1}}\)
3 \(1.5\;m\;{s^{ - 1}}\)
4 \(0.5\;m\;{s^{ - 1}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366255 A constant power is supplied to a rotating disc. The relationship between the angular velocity \((\omega)\) of the disc and number of rotations \((n)\) made by the disc is governed by

1 \(\omega \propto {n^{\frac{1}{3}}}\)
2 \(\omega \propto {n^{\frac{2}{3}}}\)
3 \(\omega \propto {n^{\frac{3}{2}}}\)
4 \(\omega \propto {n^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366256 The moment of inertia of a flywheel having kinetic energy with angular velocity \(1\,\,rad{s^{ - 1}}\) is numerically equal to

1 Half of the rotational kinetic energy
2 One-forth of its rotational kinetic energy
3 Twice the rotational kinetic energy
4 Rotational kinetic energy
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366257 A block of mass \(2\;kg\) is attached to one end of a massless rod of length \(\dfrac{1}{\pi} m\). The rod is fixed to a horizontal plane at the other end such that the block and rod are free to revolve on a horizontal plane. The coefficient of friction between the block and surface is 0.1 . Block is made to rotate with uniform speed by applying a constant external force in tangential direction on the block. The work done by external force when the rod rotates by \(90^{\circ}\) is

1 0
2 10 joule
3 \(\dfrac{\pi}{2}\) joule
4 1 joule
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366258 A body having a moment of inertia about its axis of rotation equal to \(3\;kg\;{m^2}\) is rotating with angular velocity of \(3\,rad{s^{ - 1}}\). Kinetic energy of this rotating body is same as that of a body of mass \(27\;kg\) moving with velocity \(v\). The value of \(v\) is

1 \(2\;m\;{s^{ - 1}}\)
2 \(1\;m\;{s^{ - 1}}\)
3 \(1.5\;m\;{s^{ - 1}}\)
4 \(0.5\;m\;{s^{ - 1}}\)