149722
Two particles of masses \(m_{1}\) and \(m_{2}\left(m_{1}>m_{2}\right)\), initially at rest, moves towards each other under an inverse square law force of attraction. Pick out the correct statement about the centre of mass (CM) of the system
1 The CM moves towards \(\mathrm{m}_{1}\)
2 The CM moves towards \(\mathrm{m}_{2}\)
3 The \(\mathrm{CM}\) remains at rest
4 The motion of CM is accelerated
Explanation:
C When no external force acts on the system and initially velocity of the centre of mass remains at rest because force of attraction is mutual.
AIIMS-2009
Rotational Motion
149729
If we hollow the ball of pendulum and fill it with sand, what would be the effect of change on the center of mass ?
1 It would distorted
2 Its value will decrease only
3 Its value will increase only
4 Its value will first decrease and then increase
Explanation:
D Its value will first decrease and then increase. Reason:- Centre of mass completely depends on the Mass of constituent particles of the system.
UP CPMT-2003
Rotational Motion
149730
The centre of mass of a body:
1 Lies always outside the body
2 may lie within, outside or on the surface of the body
3 lies always inside the body
4 lies always on the surface of the body
Explanation:
B The location of centre of mass depend on the shape of body and the distribution of the mass. The center of mass of a body can lie within or outside the body. For Example, center of mass of a uniform rod lies at its geometrical center which lies within the rod whereas centre of mass of a uniform ring lies at its geometrical center which lies outside the ring.
MP PET-2012
Rotational Motion
149734
A bomb travelling in a parabolic path under the effect of gravity, explodes in mid-air. The centre of mass of the fragments will
1 move vertically upwards and then vertically downwards
2 move vertically downwards
3 move in irregular path
4 move in the parabolic path the unexploded bomb would have travelled
Explanation:
D Since the unexploded bomb was travelling in a parabolic path, so the center of mass of the fragments will also move in the parabolic path because there is no external force acting on the bomb during explosion. \(\mathrm{F}_{\mathrm{ext}}=0 \Rightarrow \mathrm{ma}_{\mathrm{cm}}=0 \quad \Rightarrow \mathrm{V}_{\mathrm{cm}}=\) constant
NEET Test Series from KOTA - 10 Papers In MS WORD
WhatsApp Here
Rotational Motion
149722
Two particles of masses \(m_{1}\) and \(m_{2}\left(m_{1}>m_{2}\right)\), initially at rest, moves towards each other under an inverse square law force of attraction. Pick out the correct statement about the centre of mass (CM) of the system
1 The CM moves towards \(\mathrm{m}_{1}\)
2 The CM moves towards \(\mathrm{m}_{2}\)
3 The \(\mathrm{CM}\) remains at rest
4 The motion of CM is accelerated
Explanation:
C When no external force acts on the system and initially velocity of the centre of mass remains at rest because force of attraction is mutual.
AIIMS-2009
Rotational Motion
149729
If we hollow the ball of pendulum and fill it with sand, what would be the effect of change on the center of mass ?
1 It would distorted
2 Its value will decrease only
3 Its value will increase only
4 Its value will first decrease and then increase
Explanation:
D Its value will first decrease and then increase. Reason:- Centre of mass completely depends on the Mass of constituent particles of the system.
UP CPMT-2003
Rotational Motion
149730
The centre of mass of a body:
1 Lies always outside the body
2 may lie within, outside or on the surface of the body
3 lies always inside the body
4 lies always on the surface of the body
Explanation:
B The location of centre of mass depend on the shape of body and the distribution of the mass. The center of mass of a body can lie within or outside the body. For Example, center of mass of a uniform rod lies at its geometrical center which lies within the rod whereas centre of mass of a uniform ring lies at its geometrical center which lies outside the ring.
MP PET-2012
Rotational Motion
149734
A bomb travelling in a parabolic path under the effect of gravity, explodes in mid-air. The centre of mass of the fragments will
1 move vertically upwards and then vertically downwards
2 move vertically downwards
3 move in irregular path
4 move in the parabolic path the unexploded bomb would have travelled
Explanation:
D Since the unexploded bomb was travelling in a parabolic path, so the center of mass of the fragments will also move in the parabolic path because there is no external force acting on the bomb during explosion. \(\mathrm{F}_{\mathrm{ext}}=0 \Rightarrow \mathrm{ma}_{\mathrm{cm}}=0 \quad \Rightarrow \mathrm{V}_{\mathrm{cm}}=\) constant
149722
Two particles of masses \(m_{1}\) and \(m_{2}\left(m_{1}>m_{2}\right)\), initially at rest, moves towards each other under an inverse square law force of attraction. Pick out the correct statement about the centre of mass (CM) of the system
1 The CM moves towards \(\mathrm{m}_{1}\)
2 The CM moves towards \(\mathrm{m}_{2}\)
3 The \(\mathrm{CM}\) remains at rest
4 The motion of CM is accelerated
Explanation:
C When no external force acts on the system and initially velocity of the centre of mass remains at rest because force of attraction is mutual.
AIIMS-2009
Rotational Motion
149729
If we hollow the ball of pendulum and fill it with sand, what would be the effect of change on the center of mass ?
1 It would distorted
2 Its value will decrease only
3 Its value will increase only
4 Its value will first decrease and then increase
Explanation:
D Its value will first decrease and then increase. Reason:- Centre of mass completely depends on the Mass of constituent particles of the system.
UP CPMT-2003
Rotational Motion
149730
The centre of mass of a body:
1 Lies always outside the body
2 may lie within, outside or on the surface of the body
3 lies always inside the body
4 lies always on the surface of the body
Explanation:
B The location of centre of mass depend on the shape of body and the distribution of the mass. The center of mass of a body can lie within or outside the body. For Example, center of mass of a uniform rod lies at its geometrical center which lies within the rod whereas centre of mass of a uniform ring lies at its geometrical center which lies outside the ring.
MP PET-2012
Rotational Motion
149734
A bomb travelling in a parabolic path under the effect of gravity, explodes in mid-air. The centre of mass of the fragments will
1 move vertically upwards and then vertically downwards
2 move vertically downwards
3 move in irregular path
4 move in the parabolic path the unexploded bomb would have travelled
Explanation:
D Since the unexploded bomb was travelling in a parabolic path, so the center of mass of the fragments will also move in the parabolic path because there is no external force acting on the bomb during explosion. \(\mathrm{F}_{\mathrm{ext}}=0 \Rightarrow \mathrm{ma}_{\mathrm{cm}}=0 \quad \Rightarrow \mathrm{V}_{\mathrm{cm}}=\) constant
149722
Two particles of masses \(m_{1}\) and \(m_{2}\left(m_{1}>m_{2}\right)\), initially at rest, moves towards each other under an inverse square law force of attraction. Pick out the correct statement about the centre of mass (CM) of the system
1 The CM moves towards \(\mathrm{m}_{1}\)
2 The CM moves towards \(\mathrm{m}_{2}\)
3 The \(\mathrm{CM}\) remains at rest
4 The motion of CM is accelerated
Explanation:
C When no external force acts on the system and initially velocity of the centre of mass remains at rest because force of attraction is mutual.
AIIMS-2009
Rotational Motion
149729
If we hollow the ball of pendulum and fill it with sand, what would be the effect of change on the center of mass ?
1 It would distorted
2 Its value will decrease only
3 Its value will increase only
4 Its value will first decrease and then increase
Explanation:
D Its value will first decrease and then increase. Reason:- Centre of mass completely depends on the Mass of constituent particles of the system.
UP CPMT-2003
Rotational Motion
149730
The centre of mass of a body:
1 Lies always outside the body
2 may lie within, outside or on the surface of the body
3 lies always inside the body
4 lies always on the surface of the body
Explanation:
B The location of centre of mass depend on the shape of body and the distribution of the mass. The center of mass of a body can lie within or outside the body. For Example, center of mass of a uniform rod lies at its geometrical center which lies within the rod whereas centre of mass of a uniform ring lies at its geometrical center which lies outside the ring.
MP PET-2012
Rotational Motion
149734
A bomb travelling in a parabolic path under the effect of gravity, explodes in mid-air. The centre of mass of the fragments will
1 move vertically upwards and then vertically downwards
2 move vertically downwards
3 move in irregular path
4 move in the parabolic path the unexploded bomb would have travelled
Explanation:
D Since the unexploded bomb was travelling in a parabolic path, so the center of mass of the fragments will also move in the parabolic path because there is no external force acting on the bomb during explosion. \(\mathrm{F}_{\mathrm{ext}}=0 \Rightarrow \mathrm{ma}_{\mathrm{cm}}=0 \quad \Rightarrow \mathrm{V}_{\mathrm{cm}}=\) constant