Plane Motion of a Rigid Body
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366037 A solid sphere of mass \(m\) rolls down an inclined plane without slipping, starting from rest at the top of an incined plane. The linear speed of the sphere at the bottom of the inclined plane is \(v\). The kinetic energy of the sphere at the bottom is

1 \(\dfrac{1}{2} m v^{2}\)
2 \(\dfrac{5}{3} m v^{2}\)
3 \(\dfrac{2}{5} m v^{2}\)
4 \(\dfrac{7}{10} m v^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366038 A ring and a solid sphere of identical mass \(m\) and radius \(\mathrm{R}\) are in pure rolling on a horizontal surface. The ratio of kinetic energies of both the bodies is equal to

1 \(\dfrac{1}{2}\)
2 \(\dfrac{5}{7}\)
3 \(\dfrac{7}{5}\)
4 \(\dfrac{2}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366039 A small object of uniform density rolls up a curved surface with an initial velocity \(v\). It reaches upto a maximum height of \(\dfrac{3 v^{2}}{4 g}\) with respect to the initial position. The object is

1 Ring
2 Solid sphere
3 Hollow sphere
4 Disc
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366040 A solid sphere of mass \(m\) and radius \(r\) is released from rest from the given position. The sphere rolls without sliding on the circular track of radius \(R=8 r\). If \(r=1 {~m}\) then find its speed when it reaches its lowest position. (Take \(g=10 {~m} / {s}^{2}\) )
supporting img

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(8\,m/s\)
4 \(2\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366037 A solid sphere of mass \(m\) rolls down an inclined plane without slipping, starting from rest at the top of an incined plane. The linear speed of the sphere at the bottom of the inclined plane is \(v\). The kinetic energy of the sphere at the bottom is

1 \(\dfrac{1}{2} m v^{2}\)
2 \(\dfrac{5}{3} m v^{2}\)
3 \(\dfrac{2}{5} m v^{2}\)
4 \(\dfrac{7}{10} m v^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366038 A ring and a solid sphere of identical mass \(m\) and radius \(\mathrm{R}\) are in pure rolling on a horizontal surface. The ratio of kinetic energies of both the bodies is equal to

1 \(\dfrac{1}{2}\)
2 \(\dfrac{5}{7}\)
3 \(\dfrac{7}{5}\)
4 \(\dfrac{2}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366039 A small object of uniform density rolls up a curved surface with an initial velocity \(v\). It reaches upto a maximum height of \(\dfrac{3 v^{2}}{4 g}\) with respect to the initial position. The object is

1 Ring
2 Solid sphere
3 Hollow sphere
4 Disc
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366040 A solid sphere of mass \(m\) and radius \(r\) is released from rest from the given position. The sphere rolls without sliding on the circular track of radius \(R=8 r\). If \(r=1 {~m}\) then find its speed when it reaches its lowest position. (Take \(g=10 {~m} / {s}^{2}\) )
supporting img

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(8\,m/s\)
4 \(2\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366037 A solid sphere of mass \(m\) rolls down an inclined plane without slipping, starting from rest at the top of an incined plane. The linear speed of the sphere at the bottom of the inclined plane is \(v\). The kinetic energy of the sphere at the bottom is

1 \(\dfrac{1}{2} m v^{2}\)
2 \(\dfrac{5}{3} m v^{2}\)
3 \(\dfrac{2}{5} m v^{2}\)
4 \(\dfrac{7}{10} m v^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366038 A ring and a solid sphere of identical mass \(m\) and radius \(\mathrm{R}\) are in pure rolling on a horizontal surface. The ratio of kinetic energies of both the bodies is equal to

1 \(\dfrac{1}{2}\)
2 \(\dfrac{5}{7}\)
3 \(\dfrac{7}{5}\)
4 \(\dfrac{2}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366039 A small object of uniform density rolls up a curved surface with an initial velocity \(v\). It reaches upto a maximum height of \(\dfrac{3 v^{2}}{4 g}\) with respect to the initial position. The object is

1 Ring
2 Solid sphere
3 Hollow sphere
4 Disc
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366040 A solid sphere of mass \(m\) and radius \(r\) is released from rest from the given position. The sphere rolls without sliding on the circular track of radius \(R=8 r\). If \(r=1 {~m}\) then find its speed when it reaches its lowest position. (Take \(g=10 {~m} / {s}^{2}\) )
supporting img

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(8\,m/s\)
4 \(2\,m/s\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366037 A solid sphere of mass \(m\) rolls down an inclined plane without slipping, starting from rest at the top of an incined plane. The linear speed of the sphere at the bottom of the inclined plane is \(v\). The kinetic energy of the sphere at the bottom is

1 \(\dfrac{1}{2} m v^{2}\)
2 \(\dfrac{5}{3} m v^{2}\)
3 \(\dfrac{2}{5} m v^{2}\)
4 \(\dfrac{7}{10} m v^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366038 A ring and a solid sphere of identical mass \(m\) and radius \(\mathrm{R}\) are in pure rolling on a horizontal surface. The ratio of kinetic energies of both the bodies is equal to

1 \(\dfrac{1}{2}\)
2 \(\dfrac{5}{7}\)
3 \(\dfrac{7}{5}\)
4 \(\dfrac{2}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366039 A small object of uniform density rolls up a curved surface with an initial velocity \(v\). It reaches upto a maximum height of \(\dfrac{3 v^{2}}{4 g}\) with respect to the initial position. The object is

1 Ring
2 Solid sphere
3 Hollow sphere
4 Disc
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366040 A solid sphere of mass \(m\) and radius \(r\) is released from rest from the given position. The sphere rolls without sliding on the circular track of radius \(R=8 r\). If \(r=1 {~m}\) then find its speed when it reaches its lowest position. (Take \(g=10 {~m} / {s}^{2}\) )
supporting img

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(8\,m/s\)
4 \(2\,m/s\)