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

365981 A bicycle wheel rolls without slipping on a horizontal floor. Which one of the following is true about the motion of points on the rim of the wheel, relative to the axis at the wheel's centre?
supporting img

1 Points near the top move faster than points near the bottom
2 Points near the bottom move faster than points near the top
3 All points on the rim move with the same speed
4 All points have the velocity vectors that are pointing in the radial direction towards the centre of the wheel
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365982 Consider a cylinder of mass \(\mathrm{M}\) resting on a rough horizontal rug that is pulled out from under it with acceleration ' \(a\) ' perpendicular to the axis of the cylinder.
What is \(\mathrm{F}_{\text {friction }}\) at point \(\mathrm{P}\) ? It is assumed that the cylinder does not slip.
supporting img

1 \(\mathrm{Mg}\)
2 \(\dfrac{\mathrm{M} a}{3}\)
3 \(\mathrm{Ma}\)
4 \(\dfrac{\mathrm{M} a}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365983 A solid sphere of mass \(10\,kg\) is placed on a rough surface having coefficient of friction \(\mu = 0.1.\) A constant force \(F=7\,N\) is applied along a line passing through the centre of the sphere as shown in the figure. What is the value of frictional force on the sphere?
supporting img

1 \(5\,N\)
2 \(9\,N\)
3 \(2\,N\)
4 \(1\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365984 Three bodies, a ring, a solid cylinder and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical. Which of the bodies reaches the ground with maximum velocity?

1 Solid sphere
2 Ring
3 Solid cylinder
4 All reach the ground with same velocity
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365981 A bicycle wheel rolls without slipping on a horizontal floor. Which one of the following is true about the motion of points on the rim of the wheel, relative to the axis at the wheel's centre?
supporting img

1 Points near the top move faster than points near the bottom
2 Points near the bottom move faster than points near the top
3 All points on the rim move with the same speed
4 All points have the velocity vectors that are pointing in the radial direction towards the centre of the wheel
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365982 Consider a cylinder of mass \(\mathrm{M}\) resting on a rough horizontal rug that is pulled out from under it with acceleration ' \(a\) ' perpendicular to the axis of the cylinder.
What is \(\mathrm{F}_{\text {friction }}\) at point \(\mathrm{P}\) ? It is assumed that the cylinder does not slip.
supporting img

1 \(\mathrm{Mg}\)
2 \(\dfrac{\mathrm{M} a}{3}\)
3 \(\mathrm{Ma}\)
4 \(\dfrac{\mathrm{M} a}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365983 A solid sphere of mass \(10\,kg\) is placed on a rough surface having coefficient of friction \(\mu = 0.1.\) A constant force \(F=7\,N\) is applied along a line passing through the centre of the sphere as shown in the figure. What is the value of frictional force on the sphere?
supporting img

1 \(5\,N\)
2 \(9\,N\)
3 \(2\,N\)
4 \(1\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365984 Three bodies, a ring, a solid cylinder and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical. Which of the bodies reaches the ground with maximum velocity?

1 Solid sphere
2 Ring
3 Solid cylinder
4 All reach the ground with same velocity
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365981 A bicycle wheel rolls without slipping on a horizontal floor. Which one of the following is true about the motion of points on the rim of the wheel, relative to the axis at the wheel's centre?
supporting img

1 Points near the top move faster than points near the bottom
2 Points near the bottom move faster than points near the top
3 All points on the rim move with the same speed
4 All points have the velocity vectors that are pointing in the radial direction towards the centre of the wheel
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365982 Consider a cylinder of mass \(\mathrm{M}\) resting on a rough horizontal rug that is pulled out from under it with acceleration ' \(a\) ' perpendicular to the axis of the cylinder.
What is \(\mathrm{F}_{\text {friction }}\) at point \(\mathrm{P}\) ? It is assumed that the cylinder does not slip.
supporting img

1 \(\mathrm{Mg}\)
2 \(\dfrac{\mathrm{M} a}{3}\)
3 \(\mathrm{Ma}\)
4 \(\dfrac{\mathrm{M} a}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365983 A solid sphere of mass \(10\,kg\) is placed on a rough surface having coefficient of friction \(\mu = 0.1.\) A constant force \(F=7\,N\) is applied along a line passing through the centre of the sphere as shown in the figure. What is the value of frictional force on the sphere?
supporting img

1 \(5\,N\)
2 \(9\,N\)
3 \(2\,N\)
4 \(1\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365984 Three bodies, a ring, a solid cylinder and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical. Which of the bodies reaches the ground with maximum velocity?

1 Solid sphere
2 Ring
3 Solid cylinder
4 All reach the ground with same velocity
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365981 A bicycle wheel rolls without slipping on a horizontal floor. Which one of the following is true about the motion of points on the rim of the wheel, relative to the axis at the wheel's centre?
supporting img

1 Points near the top move faster than points near the bottom
2 Points near the bottom move faster than points near the top
3 All points on the rim move with the same speed
4 All points have the velocity vectors that are pointing in the radial direction towards the centre of the wheel
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365982 Consider a cylinder of mass \(\mathrm{M}\) resting on a rough horizontal rug that is pulled out from under it with acceleration ' \(a\) ' perpendicular to the axis of the cylinder.
What is \(\mathrm{F}_{\text {friction }}\) at point \(\mathrm{P}\) ? It is assumed that the cylinder does not slip.
supporting img

1 \(\mathrm{Mg}\)
2 \(\dfrac{\mathrm{M} a}{3}\)
3 \(\mathrm{Ma}\)
4 \(\dfrac{\mathrm{M} a}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365983 A solid sphere of mass \(10\,kg\) is placed on a rough surface having coefficient of friction \(\mu = 0.1.\) A constant force \(F=7\,N\) is applied along a line passing through the centre of the sphere as shown in the figure. What is the value of frictional force on the sphere?
supporting img

1 \(5\,N\)
2 \(9\,N\)
3 \(2\,N\)
4 \(1\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365984 Three bodies, a ring, a solid cylinder and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical. Which of the bodies reaches the ground with maximum velocity?

1 Solid sphere
2 Ring
3 Solid cylinder
4 All reach the ground with same velocity