Read and analyze each word problem and give what is/are required. Write the detailed solution If possible, express your final answer in the form u(t)= Rcos(@t - 8). 1. A spring is such that a 16-lb...

You can use methods such as variation of parameters, application of exponential shift theorem, and evaluation of some inverse differential operators.

Extracted text: Read and analyze each word problem and give what is/are required. Write the detailed solution If possible, express your final answer in the form u(t)= Rcos(@t - 8). 1. A spring is such that a 16-lb weight stretches it 1.5 in. The weight is pulled down to a point 4 in below the equilibrium point and given an initial velocity of 4 fps. An impressed force of 360 cos (4t) lb is applied. Find the position and velocity of the weight at t = T1/8 s.