Rigid Body Constraints
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366050 A large spool of rope stands on the ground with the end of the rope lying on the top edge of the spool. A person grabs the end of the rope and walks a distance \(l\), holding onto it. The spool rolls behind the person without slipping. What is the length of rope that unwinds from the spool? How far does the spool's \(CM\) move?
supporting img

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

366051 A hoop rolls on a horizontal ground without slipping with linear speed \(v\). Speed of a particle \(P\) on the circumference of the hoop at angle \(\theta\) is
supporting img

1 \(v \sin \theta\)
2 \(2 v \sin \left(\dfrac{\theta}{2}\right)\)
3 \(2 v \cos \left(\dfrac{\theta}{2}\right)\)
4 \(v \cos \theta\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366052 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by a general point \(\mathrm{P}\) is
supporting img

1 Ellipse
2 Hyperbola
3 Straight line
4 Parabola
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366053 The velocities are in ground frame and the cylinder is performing pure rolling on the plank, velocity of point ' \(A\) ' would be
supporting img

1 \(2\left(v_{C}-v_{P}\right)\)
2 \(2 v_{C}-v_{P}\)
3 \(2 v_{C}\)
4 \(2 v_{C}+v_{P}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366050 A large spool of rope stands on the ground with the end of the rope lying on the top edge of the spool. A person grabs the end of the rope and walks a distance \(l\), holding onto it. The spool rolls behind the person without slipping. What is the length of rope that unwinds from the spool? How far does the spool's \(CM\) move?
supporting img

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

366051 A hoop rolls on a horizontal ground without slipping with linear speed \(v\). Speed of a particle \(P\) on the circumference of the hoop at angle \(\theta\) is
supporting img

1 \(v \sin \theta\)
2 \(2 v \sin \left(\dfrac{\theta}{2}\right)\)
3 \(2 v \cos \left(\dfrac{\theta}{2}\right)\)
4 \(v \cos \theta\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366052 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by a general point \(\mathrm{P}\) is
supporting img

1 Ellipse
2 Hyperbola
3 Straight line
4 Parabola
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366053 The velocities are in ground frame and the cylinder is performing pure rolling on the plank, velocity of point ' \(A\) ' would be
supporting img

1 \(2\left(v_{C}-v_{P}\right)\)
2 \(2 v_{C}-v_{P}\)
3 \(2 v_{C}\)
4 \(2 v_{C}+v_{P}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366050 A large spool of rope stands on the ground with the end of the rope lying on the top edge of the spool. A person grabs the end of the rope and walks a distance \(l\), holding onto it. The spool rolls behind the person without slipping. What is the length of rope that unwinds from the spool? How far does the spool's \(CM\) move?
supporting img

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

366051 A hoop rolls on a horizontal ground without slipping with linear speed \(v\). Speed of a particle \(P\) on the circumference of the hoop at angle \(\theta\) is
supporting img

1 \(v \sin \theta\)
2 \(2 v \sin \left(\dfrac{\theta}{2}\right)\)
3 \(2 v \cos \left(\dfrac{\theta}{2}\right)\)
4 \(v \cos \theta\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366052 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by a general point \(\mathrm{P}\) is
supporting img

1 Ellipse
2 Hyperbola
3 Straight line
4 Parabola
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366053 The velocities are in ground frame and the cylinder is performing pure rolling on the plank, velocity of point ' \(A\) ' would be
supporting img

1 \(2\left(v_{C}-v_{P}\right)\)
2 \(2 v_{C}-v_{P}\)
3 \(2 v_{C}\)
4 \(2 v_{C}+v_{P}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366050 A large spool of rope stands on the ground with the end of the rope lying on the top edge of the spool. A person grabs the end of the rope and walks a distance \(l\), holding onto it. The spool rolls behind the person without slipping. What is the length of rope that unwinds from the spool? How far does the spool's \(CM\) move?
supporting img

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

366051 A hoop rolls on a horizontal ground without slipping with linear speed \(v\). Speed of a particle \(P\) on the circumference of the hoop at angle \(\theta\) is
supporting img

1 \(v \sin \theta\)
2 \(2 v \sin \left(\dfrac{\theta}{2}\right)\)
3 \(2 v \cos \left(\dfrac{\theta}{2}\right)\)
4 \(v \cos \theta\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366052 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by a general point \(\mathrm{P}\) is
supporting img

1 Ellipse
2 Hyperbola
3 Straight line
4 Parabola
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366053 The velocities are in ground frame and the cylinder is performing pure rolling on the plank, velocity of point ' \(A\) ' would be
supporting img

1 \(2\left(v_{C}-v_{P}\right)\)
2 \(2 v_{C}-v_{P}\)
3 \(2 v_{C}\)
4 \(2 v_{C}+v_{P}\)