Question

A mass attached to a spring oscillates with a period of 3.15 s.

(a) If the mass starts from rest at x = 0.0480 m and time t = 0, where is it at time t = 6.97 s?
m?

(b) Is the mass moving in the positive or negative x direction at t = 6.97 s?

positive x direction?

negative x direction?

Answer 1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

A mass attached to a spring oscillates with a period of 3.15 s. (a)If the mass starts from rest at x = 0.0420 m and time t = 0, where is it at timet = 6.99 s?
m

(b) Is the mass moving in the positive ornegative x direction at t = 6.99 s?

positive x direction
negative xdirection

a) Period of oscillation of mass attached to thespring is T =3.15 s

     Now amplitude A =0.042 m

       Now t = 6.99s

      Now displacement x =A cos ?t

          x = Acos (2?/T)t

          x = (0.042 m)cos (2?/3.15s) (6.99s)

              =0.0089m

b) The mass is moving in positive x direction.