PARAGRAPH II
Two particles, 1 and 2 , each of mass 
, are connected by a massless spring, and are on a horizontal frictionless plane, as shown in the figure. Initially, the two particles, with their center of mass at 
, are oscillating with amplitude 
and angular frequency 
. Thus, their positions at time 
are given by 
and 
a sin 
, respectively, where 
. Particle 3 of mass 
moves towards this system with speed 
, and undergoes instantaneous elastic collision with particle 2 , at time 
. Finally, particles 1 and 2 acquire a center of mass speed and oscillate with amplitude
and the same angular frequency 
.
(i) If the collision occurs at time 
, the value of 
will be .
(ii) If the collision occurs at time 
, then the value of 
will be .
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) (00.75) (ii) (04.25)
(i)
At 
is at mean position
aw towards left after collision, velocity will exchange
towards right
towards right
At 
After collision, 
towards right
towards right
w.r.t.centre of mass
(ii)
At is at mean position
towards left after collision, velocity will exchange
towards right
towards right
At 
After collision, 
towards right
towards right
w.r.t.
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