Simple Harmonic Motion 4 Question 12
12. A particle of mass is attached to one end of a massless spring of force constant , 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 with an initial velocity . When the speed of the particle is , it collides elastically with a rigid wall. After this collision
(2013 Adv.)
(a) the speed of the particle when it returns to its equilibrium position is
(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 through the equilibrium position for the second time is
Numerical Value
Show Answer
Answer:
Correct Answer: 12. (a, d)
Solution:
- At equilibrium
particle has maximum velocity . Therefore velocity at time can be written as
writing,
(b)
(c)
(d)