The motion of a particle of mass m is given

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

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