4. An electromagnet weighing 3,000 lb is at rest while holding an automobile of weight 2,000 lb in a junkyard. The electric current is turned off, and the automobile is dropped. Assuming that the crane and the supporting cable have an equivalent spring constant of 10,000 Ib/in.,find the following: (a) the natural Time period of vibration of the electromagnet, (b) the resulting motion of the electromagnet, and (c) the maximum tension developed in the cable during the motion
4. An electromagnet weighing 3,000 lb is at rest while holding an automobile of weight 2,000 lb in a junkyard. The electric current is turned off, and the automobile is dropped. Assuming that the crane and the supporting cable have an equivalent spring constant of 10,000 Ib/in.,find the following: (a) the natural Time period of vibration of the electromagnet, (b) the resulting motion of the electromagnet, and (c) the maximum tension developed in the cable during the motion
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I have answers for the first 2 sub-parts, please do the last one.
Transcribed Image Text:4. An electromagnet weighing 3,000 lb is at rest while holding an
automobile of weight 2,000 lb in a junkyard. The electric current is
turned off, and the automobile is dropped. Assuming that the crane
and the supporting cable have an equivalent spring constant of 10,000
Ib/in.,find the following: (a) the natural Time period of vibration of
the electromagnet, (b) the resulting motion of the electromagnet, and
(c) the maximum tension developed in the cable during the motion
Ans: T= 0.175 s, u(t)-0.2 Cos (35.92t),
T= 5000 Ib
max
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