Consider an industrial machine of mass m supported on spring-type isolators of total stiffness
k (i.e. no damping). The machine operates at a frequency f with a force unbalance p0.
1. Find the fraction of force transmitted to the foundation as a function of the forcing frequency f and the static deflecion δst mg{k. Consider only the steady-state response.
2. Determine the static deflection δst if the transmitted force is 10% of p0 and f 20 Hz.

Question

Consider an industrial machine of mass m supported on spring-type isolators of total stiffness
k (i.e. no damping). The machine operates at a frequency f with a force unbalance p0.
1. Find the fraction of force transmitted to the foundation as a function of the forcing frequency f and the static deflecion δst  mg{k. Consider only the steady-state response.
2. Determine the static deflection δst if the transmitted force is 10% of p0 and f  20 Hz.

irishboy123 · Answer

i could help you maybe if i understood the jargon a bit more

it looks like you are being asked to solve $m \ddot x + k x = f(t)$ where F(t) is a forcing function on otherwise shm, with some IV's

does that make any sense at all?