ABET Problem
If the block-and-spring model is subjected to the periodic force
𝐹𝐹 = 𝐹𝐹0 𝑐𝑐𝑐𝑐𝑐𝑐(𝜔𝜔t), show that the differential equation of motion is
𝐹𝐹
ẍ + �k�m�x = � 0�m� cos(𝜔𝜔t), where x is measured from the equilibrium
position of the block. What is the general solution of the equation?
Note: ẋ =
dx
dt
ẍ =
d2 x
dt2
20 points