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JEE Advanced 2013 Paper 1
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© examsnet.com
Question : 18
Total: 60
A bob of mass m, suspended by a string of length
l
1
is given a minimum velocity required to complete a full circle in the vertical plane, At the highest point, it collides elastically with another bob of mass m suspended by a string of length
l
2
, which is initially at rest. Both the strings are mass-less and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio
l
1
l
2
is
Your Answer:
Validate
Solution:
The initial speed of
1
s
t
bob (suspended by a string of length
l
1
is
√
5
g
l
1
.The speed of this bob at highest point will be
√
g
l
1
.When this bob collides with the other bob there speeds will be interchanged
To complete the vertical circle
√
g
l
1
=
√
5
g
l
2
l
1
l
2
=
5
© examsnet.com
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