A sheep with a mass (m) 50 kg is hung on an animal scale system which consistof 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 verticallyby 20 mm below the equilibrium position.1.1.Draw a free body diagram and proof that a total length (L) of the scale system2mgcan be expressed as: L =k+ Lo, where as Lo is the unstretched length ofthe spring.1.2.Calculate the frequency of natural vibration of the system.1.3.Calculate the velocity and acceleration of the sheep when it is 10 mm belowthe rest position.

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A sheep with a mass (m) 50 kg is hung on an animal scale system which consist 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 proof that a total length (L) of the scale system 2mg can be expressed as: L = k + Lo, where as L, is the unstretched length of the spring. Calculate the frequency of natural vibration of the system. Calculate the velocity and acceleration of the sheep when it is 10 mm below the rest position.

A sheep with a mass (m) 50 kg is hung on an animal scale system which consist 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 proof that a total length (L) of the scale system 2mg can be expressed as: L = k + Lo, where as L, is the unstretched length of the spring. Calculate the frequency of natural vibration of the system. Calculate the velocity and acceleration of the sheep when it is 10 mm below the rest position.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.51P: The spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest...

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