Two identical small balls, each of mass 
, are connected by a massless and inextensible string of length 
and placed on a smooth horizontal 
plane. An external agent starts pulling the string from its mid-point along 
-axis with velocity 
as shown in Fig. When the separation between the two balls reduces to 
then the speed of each ball will be
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a)
b)
c)
d)
None of the above
, are connected by a massless and inextensible string of length and placed on a smooth horizontal plane. An external agent starts pulling the string from its mid-point along -axis with velocity as shown in Fig. When the separation between the two balls reduces to then the speed of each ball will bea)
b)
c)
d)
None of the above
Question ID - 100409 | SaraNextGen Top Answer Two identical small balls, each of mass , are connected by a massless and inextensible string of length and placed on a smooth horizontal plane. An external agent starts pulling the string from its mid-point along -axis with velocity as shown in Fig. When the separation between the two balls reduces to then the speed of each ball will be
a)
b)
c)
d)
None of the above
Two identical small balls, each of mass , are connected by a massless and inextensible string of length and placed on a smooth horizontal plane. An external agent starts pulling the string from its mid-point along -axis with velocity as shown in Fig. When the separation between the two balls reduces to then the speed of each ball will be
|
a) |
|
b) |
|
c) |
|
d) |
None of the above |
(b)
Using conservation of angular momentum about the midpoint, we can find the velocity of each ball relative to the midpoint. i.e.
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Resultant velocity of ball= velocity of midpoint + velocity of ball w.r.t. midpoint
or 