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). 5. A 500-g object is attached to a...

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). 5. A 500-g object is attached to a spring having a spring constant of 6 N/m and allowed to come to rest. The object is set into motion by applying an external force F(f) = 24 cos 3t – 33 sin 3t. Find the subsequent motion of the mass if the surrounding medium offers a resistance of -3,000,000,000ů nN. Find also the velocity of the object att = 0.3 sec.