a sheep with a mass of 50 kg is hung on an animal scale system which consists of a helical spring of negligible mass. The stiffness (k) of the spring is 60 kN/m. During the hanging operation, the spring and  the sheep are displaced vertically by 20 mm below the equilibrium position. draw a free body diagram and prove that the total length (L) of the scale system can be expressed as : L= (2mg/k) + L0, where L0 is the unstretched length of the spring. also determine the frequency of natural vibration of the system.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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a sheep with a mass of 50 kg is hung on an animal scale system which consists of a helical spring of negligible mass. The stiffness (k) of the spring is 60 kN/m. During the hanging operation, the spring and  the sheep are displaced vertically by 20 mm below the equilibrium position.

draw a free body diagram and prove that the total length (L) of the scale system can be expressed as : L= (2mg/k) + L0, where L0 is the unstretched length of the spring. also determine the frequency of natural vibration of the system.

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