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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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You can use methods such as variation of parameters, application of exponential shift theorem, and evaluation of some inverse differential operators.

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.
Transcribed Image 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.
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