A mass is suspended from a vertical spring of force constant

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

0.50\,\text{kg}

mass is suspended from a vertical spring of force constant

200\,\text{N\,m}^{-1}

. It is pulled down and released so that it executes vertical SHM of amplitude

0.080\,\text{m}

about its equilibrium position (taken as

x=0

). Downward displacement is taken as positive. (i) Determine the angular frequency of oscillation. (ii) Calculate the speed of the mass when it is

0.050\,\text{m}

below the equilibrium position and moving downward. (iii) Find the time taken by the mass to move from

x = 0.050\,\text{m}

(moving downward) to the equilibrium position for the first time. Show all steps of your working.