Question:
The motion of a particle of mass m is given by x = 0 for t < 0 sec, x(t) = A sin 4p t for 0 < t < (1/4) sec, and x = 0 for t > (1/4) sec. Which of the following statements is true?
(a) the force at t = (1/8) sec on the particle is -16π2Am
(b) the particle is acted upon by on impulse of magnitude 4π2Am at t = 0 sec and t = (1/4) sec
(c) the particle is not acted upon by any force
(d) the particle is not acted upon by a constant force
(e) there is no impulse acting on the particle
Solution:
The correct answer is:
(a) the force at t = (1/8) sec on the particle is -16π2Am
(b) the particle is acted upon by on impulse of magnitude 4π2Am at t = 0 sec and t = (1/4) sec
(d) the particle is not acted upon by a constant force