Centre of Mass
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365779 A man of mass \(m\) stands at one end of a plank of length \(\mathrm{L}\) which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is \(m / 3\), the distance that the man moves relative to the
ground is

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

365780 A small disc of radius \(2\;cm\) is cut from a disc of radius \(6\;cm.\) If the distance between their centres is \(3.2\;cm,\) what is the shift in the centre of mass of the disc?

1 \(0.4\;cm\)
2 \(2.4\;cm\)
3 \(1.8\;cm\)
4 \(1.2\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365781 On a smooth horizontal plane, a uniform string of mass \(M\) and length \(L\) is lying in the state of rest. A man of the same mass \(M\) is standing next to one end of the string. Now, the man starts collecting the string. Finally the man collects all the string and puts it in his pocket. What is the displacement of the man with respect to earth in the process of collection?

1 \(\dfrac{L}{2}\)
2 \(\dfrac{L}{8}\)
3 \(\dfrac{L}{4}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365782 A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will move along a parabolic path

1 Only if the stick is uniform
2 In all cases
3 Only if the stick has a shape such that its centre of mass is located at some point on it and not outside it
4 Only if the stick has linear motion but no rotational motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365783 A cylinder is completely filled with water. If \(1 / 4\) of the volume of water leaks out, its center of mass,

1 Moves up
2 Moves down
3 Does not change
4 Moves towards vertical surface
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365779 A man of mass \(m\) stands at one end of a plank of length \(\mathrm{L}\) which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is \(m / 3\), the distance that the man moves relative to the
ground is

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

365780 A small disc of radius \(2\;cm\) is cut from a disc of radius \(6\;cm.\) If the distance between their centres is \(3.2\;cm,\) what is the shift in the centre of mass of the disc?

1 \(0.4\;cm\)
2 \(2.4\;cm\)
3 \(1.8\;cm\)
4 \(1.2\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365781 On a smooth horizontal plane, a uniform string of mass \(M\) and length \(L\) is lying in the state of rest. A man of the same mass \(M\) is standing next to one end of the string. Now, the man starts collecting the string. Finally the man collects all the string and puts it in his pocket. What is the displacement of the man with respect to earth in the process of collection?

1 \(\dfrac{L}{2}\)
2 \(\dfrac{L}{8}\)
3 \(\dfrac{L}{4}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365782 A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will move along a parabolic path

1 Only if the stick is uniform
2 In all cases
3 Only if the stick has a shape such that its centre of mass is located at some point on it and not outside it
4 Only if the stick has linear motion but no rotational motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365783 A cylinder is completely filled with water. If \(1 / 4\) of the volume of water leaks out, its center of mass,

1 Moves up
2 Moves down
3 Does not change
4 Moves towards vertical surface
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365779 A man of mass \(m\) stands at one end of a plank of length \(\mathrm{L}\) which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is \(m / 3\), the distance that the man moves relative to the
ground is

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

365780 A small disc of radius \(2\;cm\) is cut from a disc of radius \(6\;cm.\) If the distance between their centres is \(3.2\;cm,\) what is the shift in the centre of mass of the disc?

1 \(0.4\;cm\)
2 \(2.4\;cm\)
3 \(1.8\;cm\)
4 \(1.2\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365781 On a smooth horizontal plane, a uniform string of mass \(M\) and length \(L\) is lying in the state of rest. A man of the same mass \(M\) is standing next to one end of the string. Now, the man starts collecting the string. Finally the man collects all the string and puts it in his pocket. What is the displacement of the man with respect to earth in the process of collection?

1 \(\dfrac{L}{2}\)
2 \(\dfrac{L}{8}\)
3 \(\dfrac{L}{4}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365782 A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will move along a parabolic path

1 Only if the stick is uniform
2 In all cases
3 Only if the stick has a shape such that its centre of mass is located at some point on it and not outside it
4 Only if the stick has linear motion but no rotational motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365783 A cylinder is completely filled with water. If \(1 / 4\) of the volume of water leaks out, its center of mass,

1 Moves up
2 Moves down
3 Does not change
4 Moves towards vertical surface
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365779 A man of mass \(m\) stands at one end of a plank of length \(\mathrm{L}\) which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is \(m / 3\), the distance that the man moves relative to the
ground is

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

365780 A small disc of radius \(2\;cm\) is cut from a disc of radius \(6\;cm.\) If the distance between their centres is \(3.2\;cm,\) what is the shift in the centre of mass of the disc?

1 \(0.4\;cm\)
2 \(2.4\;cm\)
3 \(1.8\;cm\)
4 \(1.2\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365781 On a smooth horizontal plane, a uniform string of mass \(M\) and length \(L\) is lying in the state of rest. A man of the same mass \(M\) is standing next to one end of the string. Now, the man starts collecting the string. Finally the man collects all the string and puts it in his pocket. What is the displacement of the man with respect to earth in the process of collection?

1 \(\dfrac{L}{2}\)
2 \(\dfrac{L}{8}\)
3 \(\dfrac{L}{4}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365782 A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will move along a parabolic path

1 Only if the stick is uniform
2 In all cases
3 Only if the stick has a shape such that its centre of mass is located at some point on it and not outside it
4 Only if the stick has linear motion but no rotational motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365783 A cylinder is completely filled with water. If \(1 / 4\) of the volume of water leaks out, its center of mass,

1 Moves up
2 Moves down
3 Does not change
4 Moves towards vertical surface
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365779 A man of mass \(m\) stands at one end of a plank of length \(\mathrm{L}\) which lies at rest on a frictionless surface. The man walks to the other end of the plank. If the mass of the plank is \(m / 3\), the distance that the man moves relative to the
ground is

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

365780 A small disc of radius \(2\;cm\) is cut from a disc of radius \(6\;cm.\) If the distance between their centres is \(3.2\;cm,\) what is the shift in the centre of mass of the disc?

1 \(0.4\;cm\)
2 \(2.4\;cm\)
3 \(1.8\;cm\)
4 \(1.2\;cm\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365781 On a smooth horizontal plane, a uniform string of mass \(M\) and length \(L\) is lying in the state of rest. A man of the same mass \(M\) is standing next to one end of the string. Now, the man starts collecting the string. Finally the man collects all the string and puts it in his pocket. What is the displacement of the man with respect to earth in the process of collection?

1 \(\dfrac{L}{2}\)
2 \(\dfrac{L}{8}\)
3 \(\dfrac{L}{4}\)
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365782 A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will move along a parabolic path

1 Only if the stick is uniform
2 In all cases
3 Only if the stick has a shape such that its centre of mass is located at some point on it and not outside it
4 Only if the stick has linear motion but no rotational motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365783 A cylinder is completely filled with water. If \(1 / 4\) of the volume of water leaks out, its center of mass,

1 Moves up
2 Moves down
3 Does not change
4 Moves towards vertical surface