This state, an impulse input of amplitude If(t=I&t is applied from the upper surface of the mass to the middle. This means that the mass is hit with a hammer. With the effect of this impact, the mass starts to vibrate up and down on the spring.
hammer
mass
mass
+x
+x
spring
spring
K
floor
floor
a) (10 Points) Find the equation of motion for the mass.
b) (20 Points) Obtain the position of the mass as a function of time under this specified impulse input applied. (x(t) =?)