Avibration absorber, which is a spring-mass system (k2, m2), is added to a system (k, mi) subject to a harmonic force f(t) = fo cos @t. (a) derive the amplitudes of steady-state response for mi and m2. (b) find the relation between k2 and m2 that leads to no steady state vibration of mi.

Asilver dollar is dropped from the top of a building that is 1324 feet tall. use the position function below for free-falling objects. s(t) = −16t2 + v0t + s0 (a) determine the position and velocity functions for the coin. s(t) = v(t) = (b) determine the average velocity on the interval [1, 2]. ft/s (c) find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = ft/s v(2) = ft/s (d) find the time required for the coin to reach the ground level. (round your answer to three decimal places.) t = s (e) find the velocity of the coin at impact. (round your answer to three decimal places.) ft/s