A mass–spring system consists of a block attached to a horizontal spring of force constant
PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
A mass–spring system consists of a 0.30kg block attached to a horizontal spring of force constant 45Nm−1. The displacement x is measured from the equilibrium position towards the right and taken as positive.
At t=0 the block is 0.050m to the left of equilibrium (hence x0=−0.050m) and released from rest.
(i) Determine the amplitude A of the motion.
(ii) Find the initial phase ϕ in radians.
(iii) Write the equation x(t) describing the motion.
(iv) Calculate the total mechanical energy of the oscillation.
(v) Find the maximum speed attained by the block during its motion.