Answer to Question #165834 in Physics for Jonathan

Question

A .65 kg body when attached to a spring of force constant 225 N/m oscillates with amplitude of 0.15 m. Find the velocity and acceleration of the mass when it passes its equilibrium position.

Answer 1

(a) The velocity of the mass when it passes its equilibrium position has the maximum value:

$$v=v_{max}=A\omega=A\sqrt{\dfrac{k}{m}},$$ $$v=v_{max}=0.15\ m\cdot\sqrt{\dfrac{225\ \dfrac{N}{m}}{0.65\ kg}}=2.8\ \dfrac{m}{s}.$$

(b) When the mass passes its equilibrium position its acceleration equals zero.