Question

2a) A body of mass 0.02kg is suspended from the end of a spiral spring whose force constant is 0.4 Nm-1, an angular velocity of 4.46 rads-1 and an amplitude of 0.2m. calculate: i) The total energy ii) Maximum velocity of the motion iii) Maximum acceleration

Answer 1

Explanation:

Equation of Motion for Base Excitation

Exactly the same approach works for this system. The free body diagram is shown in the figure. Note that the force in the spring is now k(x-y) because the length of the spring is . Similarly, the rate of change of length of the dashpot is d(x-y)/dt.