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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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
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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