Problem 4: A 10kg object is suspended on a vertically hanging spring with k = 90kgs-². (a) What is the frequency of oscillations if the initial displacement is i) y(0) = 0.1m ii) y(0) = 0.05m iii) y(0) = 0.2m? (b) At time t = 0, the spring-mass system is disturbed from its equilibrium state by a force Fa(t). This experiment is repeated four times with four different forces (all forces are in the units kgms-2), A) Fa(t) = 10 cos(2t) B) Fa(t) 10 cos(3t) C) Fa(t) = 100 sin(2t) D) F(t) = 100 sin(4t). State the initial value problem describing the objects's motion for the force A) above. =

Problem 4: A 10kg object is suspended on a vertically hanging spring with k = 90kgs-². (a) What is the frequency of oscillations if the initial displacement is i) y(0) = 0.1m ii) y(0) = 0.05m iii) y(0) = 0.2m? (b) At time t = 0, the spring-mass system is disturbed from its equilibrium state by a force Fa(t). This experiment is repeated four times with four different forces (all forces are in the units kgms-2), A) Fa(t) = 10 cos(2t) B) Fa(t) 10 cos(3t) C) Fa(t) = 100 sin(2t) D) F(t) = 100 sin(4t). State the initial value problem describing the objects's motion for the force A) above. =