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A small ball is suspended by an inextensible string of length l=1.5 from O. Another identical ball is thrown vertically downward such that its surface remains just in contact with thread during downward motion and collides elastically with suspended ball. If suspended ball just completes vertical circle just after the collision, calculate velocity of falling ball just before the collision

A small ball is suspended by an inextensible string of length l=1.5 from O. Another identical ball is thrown vertically downward such that its surface remains just in contact with thread during downward motion and collides elastically with suspended ball. If suspended ball just completes vertical circle just after the collision, calculate velocity of falling ball just before the collision

Question Image
Grade:12th Pass

1 Answers

Arun
25763 Points
one year ago
At time of collision velocity of B along OC is v 
0
​ 
 cos30°.
After collision velocity along ⊥ normal is interchanged.
v=v 
0
​ 
 cos30°
If A complete verticle then u= 
5gl
​ 
 
and u=v 
0
​ 
 cos60°=v 
0
​ 
 cos30°cos60°= 
5gl
​ 
 
0
​ 
  
2
3
​ 
 
​ 
 × 
2
1
​ 
 = 
5gl
​ 
 
0
​ 
 =4 
3
5
​ 
 gl
​ 
 
 

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