A mass weighing 64lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t=0, an external force of F(t)=3cos4t lb is applied to the system. If the spring constant is 20 lb/ft and the damping constant is 2 lb-sec/ft, find the steady-state solution for the system. Use g=32 ft/sec^2

The steady state solution of the system is calculated in the diagram below:

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.