Question

Suppose a spring-mass system has k = 18Nm^-1 and m= 0.71kg.The system is oscillating with an amplitude of 54mm(i)Determine the angular frequency of oscillation.(ii)Obtain an expression for the velocity v of the block as a function of displacement,x and calculate v at x=34mm.(iii)Obtain an expression for the mass's distance I x I from the equilibrium position as a function of the velocity v and calculate I x I when v=0.18ms^-1.(iv)Calculate the energy of the spring-mass system