Rotational Motion of Rigid Body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366083 A uniform rod is kept vertically on a horizontal smooth surface at a point \(O\). If it is rotated slightly and released, it falls down on the horizontal surface. The lower end will remain

1 at \(O\)
2 at a distance less than \(l / 2\) from \(O\)
3 at a distance \(l / 2\) from \(O\)
4 at a distance larger than \(l / 2\) from \(O\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366084 A wheel having moment of inertia \(2 \mathrm{~kg}-\mathrm{m}^{2}\) about its vertical axis, rotates at the rate of \(60\,\,rpm\) about this axis. The torque which can stop the wheel's rotation in one minute would be

1 \(\frac{{2\pi }}{{15}}N{m^{ - 1}}\)
2 \(\frac{\pi }{{12}}N{m^{ - 1}}\)
3 \(\frac{\pi }{{15}}N{m^{ - 1}}\)
4 \(\frac{\pi }{{18}}N{m^{ - 1}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366085 In the figure (i) half of the meter scale is made of wood while the other half, of steel. The wooden part is pivoted at \(O\). A force \(F\) is applied at the end of steel part. In figure (ii) the steel part is pivoted at \(O\) and the same force is applied at the wooden end
supporting img

1 Same acceleration will be produced in both conditions
2 More acceleration will be produced in (ii)
3 More acceleration will be produced in (i)
4 Information incomplete
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366086 A uniform disc of mass \(M\) and radius \(R\) is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc and a steady downward pull \(T\) is exerted on the cord. The angular acceleration of the disc is

1 \(\dfrac{M R}{T}\)
2 \(\dfrac{T}{M R}\)
3 \(\dfrac{M R}{2 T}\)
4 \(\dfrac{2 T}{M R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366083 A uniform rod is kept vertically on a horizontal smooth surface at a point \(O\). If it is rotated slightly and released, it falls down on the horizontal surface. The lower end will remain

1 at \(O\)
2 at a distance less than \(l / 2\) from \(O\)
3 at a distance \(l / 2\) from \(O\)
4 at a distance larger than \(l / 2\) from \(O\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366084 A wheel having moment of inertia \(2 \mathrm{~kg}-\mathrm{m}^{2}\) about its vertical axis, rotates at the rate of \(60\,\,rpm\) about this axis. The torque which can stop the wheel's rotation in one minute would be

1 \(\frac{{2\pi }}{{15}}N{m^{ - 1}}\)
2 \(\frac{\pi }{{12}}N{m^{ - 1}}\)
3 \(\frac{\pi }{{15}}N{m^{ - 1}}\)
4 \(\frac{\pi }{{18}}N{m^{ - 1}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366085 In the figure (i) half of the meter scale is made of wood while the other half, of steel. The wooden part is pivoted at \(O\). A force \(F\) is applied at the end of steel part. In figure (ii) the steel part is pivoted at \(O\) and the same force is applied at the wooden end
supporting img

1 Same acceleration will be produced in both conditions
2 More acceleration will be produced in (ii)
3 More acceleration will be produced in (i)
4 Information incomplete
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366086 A uniform disc of mass \(M\) and radius \(R\) is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc and a steady downward pull \(T\) is exerted on the cord. The angular acceleration of the disc is

1 \(\dfrac{M R}{T}\)
2 \(\dfrac{T}{M R}\)
3 \(\dfrac{M R}{2 T}\)
4 \(\dfrac{2 T}{M R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366083 A uniform rod is kept vertically on a horizontal smooth surface at a point \(O\). If it is rotated slightly and released, it falls down on the horizontal surface. The lower end will remain

1 at \(O\)
2 at a distance less than \(l / 2\) from \(O\)
3 at a distance \(l / 2\) from \(O\)
4 at a distance larger than \(l / 2\) from \(O\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366084 A wheel having moment of inertia \(2 \mathrm{~kg}-\mathrm{m}^{2}\) about its vertical axis, rotates at the rate of \(60\,\,rpm\) about this axis. The torque which can stop the wheel's rotation in one minute would be

1 \(\frac{{2\pi }}{{15}}N{m^{ - 1}}\)
2 \(\frac{\pi }{{12}}N{m^{ - 1}}\)
3 \(\frac{\pi }{{15}}N{m^{ - 1}}\)
4 \(\frac{\pi }{{18}}N{m^{ - 1}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366085 In the figure (i) half of the meter scale is made of wood while the other half, of steel. The wooden part is pivoted at \(O\). A force \(F\) is applied at the end of steel part. In figure (ii) the steel part is pivoted at \(O\) and the same force is applied at the wooden end
supporting img

1 Same acceleration will be produced in both conditions
2 More acceleration will be produced in (ii)
3 More acceleration will be produced in (i)
4 Information incomplete
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366086 A uniform disc of mass \(M\) and radius \(R\) is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc and a steady downward pull \(T\) is exerted on the cord. The angular acceleration of the disc is

1 \(\dfrac{M R}{T}\)
2 \(\dfrac{T}{M R}\)
3 \(\dfrac{M R}{2 T}\)
4 \(\dfrac{2 T}{M R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366083 A uniform rod is kept vertically on a horizontal smooth surface at a point \(O\). If it is rotated slightly and released, it falls down on the horizontal surface. The lower end will remain

1 at \(O\)
2 at a distance less than \(l / 2\) from \(O\)
3 at a distance \(l / 2\) from \(O\)
4 at a distance larger than \(l / 2\) from \(O\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366084 A wheel having moment of inertia \(2 \mathrm{~kg}-\mathrm{m}^{2}\) about its vertical axis, rotates at the rate of \(60\,\,rpm\) about this axis. The torque which can stop the wheel's rotation in one minute would be

1 \(\frac{{2\pi }}{{15}}N{m^{ - 1}}\)
2 \(\frac{\pi }{{12}}N{m^{ - 1}}\)
3 \(\frac{\pi }{{15}}N{m^{ - 1}}\)
4 \(\frac{\pi }{{18}}N{m^{ - 1}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366085 In the figure (i) half of the meter scale is made of wood while the other half, of steel. The wooden part is pivoted at \(O\). A force \(F\) is applied at the end of steel part. In figure (ii) the steel part is pivoted at \(O\) and the same force is applied at the wooden end
supporting img

1 Same acceleration will be produced in both conditions
2 More acceleration will be produced in (ii)
3 More acceleration will be produced in (i)
4 Information incomplete
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366086 A uniform disc of mass \(M\) and radius \(R\) is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc and a steady downward pull \(T\) is exerted on the cord. The angular acceleration of the disc is

1 \(\dfrac{M R}{T}\)
2 \(\dfrac{T}{M R}\)
3 \(\dfrac{M R}{2 T}\)
4 \(\dfrac{2 T}{M R}\)