A particle of mass m is attached to one end of a mass–less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time t = 0 with an initial velocity u 0 . When the speed of the particle is 0.5 u 0 , it collies elastically with a rigid wall. After this collision:
A
the speed of the particle when it returns to its equilibrium position is u 0 .
B
the time at which the particle passes through the equilibrium position for the first time is 
.
.
C
the time at which the maximum compression of the spring occurs is 
.
.
D
the time at which the particle passes throughout the equilibrium position for the second time is 
.
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, d)
x = A sinꞷt
v = Aꞷcosꞷ t = 
⇒ cosꞷt = 
ꞷt = 
⇒ t = 
= 
for
time = 
+ 
= 
for
time = 
+ 
= 
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