A ball of mass ‘m’ is suspended by a massless string of length ‘ λ ’ from a fixed point. A ball of mass 2m strikes in the direction of θ = 45º from horizontal & sticks to it.
If the initial velocity of 2m is 
so that system deflects by φ = 
and if string is cut at φ = 60º, and the velocity at highest point of trajectory is 
, then find x + y :
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(5)
x = 3, y = 2, x + y = 5
V = 
In x dir 
2m × 
= 3 mV
v = 
V = 
⇒ v = 
V θ = 
= 
For θ = 60°
V θ = 
⇒ V x = 
Cos 60° (at heighest point)
V x = 
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