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

Part D - Present the equations of motion for the system, including the rate of change of deflection. Make sure to simplify your equations as much as possible.

Please show the work to understand the process. AI generated steps have been wrong.

Q5/ In vehicle suspension design it is desirable to minimize the mass of all components. You have been asked to select a material and dimensions for a light spring to replace the steel leaf-spring of an existing truck suspension. The existing leaf-spring is a beam, shown schematically in the figure. The new spring must have the same length L and stiffness S as the existing one, and must deflect through a maximum safe displacement 8max without failure. The width b and thickness t are free variables. L Load F 6= 1 FL³ 48 EI 10₂L² 6 #E 1=bt³/12 8max = Derive a material index for the selection of a material for this application. Note that this is a problem with two free variables: b and t; and there are two constraints, one on safe deflection 8max and the other on stiffness S. Use the two constraints to fix free variables.

The spring constant of a helical compression spring DOES NOT depend on A coil diameter B material strength C number of active turns Dwire diameter

part C and D

7) just solve i - ii Please answer in legible and orderly handwriting. If it is not legible, I will not give a positive rating.

Please only do if you have knowledge and 100% sure and please only handwritten I need or skip

7) just solve A-B Please answer in legible and orderly handwriting. If it is not legible, I will not give a positive rating.

S 4