QUESTION 1 Spring is an elastic body whose function is to store energy when deflected by force and return equivalent amount of energy on being released. For the purpose of saving energy and improving the performance of vibration isolation system, advanced springs with light weight effect and high performance have been widely used for today's automobiles and mechanical systems. A helical spring is a reliable elastic component usually used in the suspension of automobile to absorb shocks caused due to irregularities of the road surface and to provide a comfortable ride to passengers. A static music wire helical compression spring is needed to support a 90 N load after being compressed 50 mm. The solid height of the spring cannot exceed 35 mm. The free length must not exceed 95 mm. The static factor of safety must be calculated and the value must be equal or exceed 1.15. For the robust linearity, use a fractional overturn to closure of 0.15. The spring must operate in a 30 mm diameter hole. A 1.2 mm diametric clearance allowance should be adequate to avoid interference between the spring and the hole due to swelling of the spring diameter as the spring is compressed and out of round coile The

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when an engine with a mass of 400 kg is mounted on an elastic foundation, the foundation deflects 5 mm. What is the natural frequency of the system? (Note: static deflection = mg/k)

Mechanical Vibration Problem

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mechanical principles Explain the natural frequency of vibration in a mass-spring system.

Calculate the equivalent spring equation and linear spring. Theory of vibration

A helical compression spring is subjected to a maximum force, Fmax of 1250 N. The deflection of the spring corresponding to the maximum force should be approximately 30 mm. The spring index is 6. The allowable shear stress is 350 MPa and the modulus of rigidity is 81 370 N/mm². Design the helical spring by calculating the wire diameter, mean coil diameter, number of active coils and the total number of coils. State all assumptions and decisions in your design.

7. A spring is attached to the floor. When a 125 g mass is placed on top of the spring it compresses by 0.26 m. What is the spring constant of this spring?