Question

The motion of a particle of mass m is given by x = 0 for t < 0 s, x(t) = A sin4p t for 0 < t <(1/4) s (A > o), and x = 0 for t >(1/4) s. Which of the following statements is true?

(a) The force at t = (1/8) s on the particle is –16π² A m.

(b) The particle is acted upon by on impulse of magnitude 4π² A m at t = 0 s and t = (1/4) s.

(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.

Answer 1

(a) The force at t = (1/8) s on the particle is –16π² A m.

(b) The particle is acted upon by on impulse of magnitude 4π² A m at t = 0 s and t = (1/4) s.

(d) The particle is not acted upon by a constant force.