A music wire helical compression spring is needed to support a 100 N load after being compressed 65 mm. Because of assembly considerations, the solid height cannot exceed 40 mm and the free length cannot be more than 115 mm. Consider a spring wire diameter of 2.29 mm, find the following: 1. Spring index, C 2. Factor of safety. 3. Number of active coils, Na 4. The spring free length, Lo (Comment if the spring is under the risk of buckling).

A music wire helical compression spring is needed to support a 100 N load after being compressed 65 mm. Because of assembly considerations, the solid height cannot exceed 40 mm and the free length cannot be more than 115 mm. Consider a spring wire diameter of 2.29 mm, find the following: 1. Spring index, C 2. Factor of safety. 3. Number of active coils, Na 4. The spring free length, Lo (Comment if the spring is under the risk of buckling).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

In this system, there are two mass elements: m₁ and m₂. They are con- nected by a spring. m₁ is also connected to a massless rod, which can rotate at its midpoint. The other end of this massless rod is connected to another massless rod, which is connected to the ground through a spring and a damper. This configuration forms the basis of the system. You may assume small deflections for this problem and that the vertical connections are rigid links. When the coordinates y₁, y2, y are equal to zero, the gravi- tational force on the masses is covered by springs (the system is at its static deflection). Two input forces, fi and f2, are applied on the masses m₁ and m2 respectively. HINT: You should not consider the gravity force in your solution. Your tasks: A Short Answer: Which elements (refer to them by their corresponding constants) can store or possess energy in this system? B Draw the FBD for each mass (one for each of m₁ and m₂. H C Derive the equations of motion for the masses with…
The spring constant of a helical compression spring DOES NOT depend on "O+* 13/ coil diameter material strength t. number of active turns wire diameter
Please show the work to understand the process. AI generated steps have been wrong.
Project 7: The landing gear of a commercial aircraft is modeled as mass-spring-damper system as shown in figure below. Your role is to define the main characteristics of such motion when the aircraft lands on rough runway that causes an oscillator motion as shown in the Figure.8. Your manger asked you to write a report showing your analysis for the system to avoid any excepted damages to the landing gear. Damper x(t) Suspension System Oscillation Spring Street and Bumps Oscillations Elastic Tire Figure.8: Car's Suspension mass-spring-damper system A. For any mass-spring system, explain the natural frequency of vibration. B. To identify the system main parameters, the following mass-spring-damper model is identified: x(t) = 0.1179e-25.2t sin (50t + 0.3224n) Determine the amplitude and phase angle of the transient response within the system? C. What is the frequency of the runway vibration required to cause resonance? Briefly, explain why it happens. D. Briefly, suggest how to prevent…
For a system mass spring define with your words but in detail, the following motion times, write the Edque characterizes each motion undamped free motion damped free motion forced motion Resonance
If stiffness of a spring is doubled and mass is halved, what will be percent change in its natural frequency?
Task 2 External Force Damper Damper mass mass Smooth SurtaceH No Friction Spring Spring Consider the above spring-mass-damper system. Let the mass m= 1 kg, spring stiffness k= 1 N/m and damping coefficient b = 1 N.s/m. (a) What is the number of degrees of freedom? (b) Find the Mass, Damping and Stiffness matrices. (c) Find the natural frequencies and mode shapes. (d) If the damping coefficient, b, is zero and he external force is At) = sint, find the steady state position amplitude for the two masses.
SECTION A Q1. An engine is connected to an unbalanced, rotating shaft as shown in Figure Q1. Viscoelastic shock absorbers are used to mount the engine to a frame. The engine is supported by rigid, frictionless guides that prevent it from moving in the horizontal direction. The shock absorbers can be modelled with a spring-damper system. The spring stiffness of the absorber takes on a value of k = 520 kN/m while its damping coefficient c is unknown. The entire engine-shaft assembly has a mass M of 35 kg. The equivalent mass of the shaft unbalance takes on a value of m = 1.2 kg at an offset distance r = 4 mm rotating at angular velocity w. The unbalanced rotating mass of the shaft results in a force F(t) acting in the vertical direction: F(t) = mw²r sin(wt). The force from the unbalance is causing vibration of the engine within the frame. Whenever the shaft is rotating at its operating speed of 1500 rpm the engine is displaced by a maximum of X = 0.3 mm. OSSEM a) Calculate the magnitude…
Problem 10
Problem 2 (Estimating the Damping Constant). Recall that we can experimentally mea- sure a spring constant using Hooke's law- spring by a certain y from its natural length, and then we solve the equation F = ky for the spring constant k. Presumably we would have to determine the damping coefficient of a dashpot empirically as well, but how would we do so? As a warm-up, suppose we have a underdamped, unforced spring-mass system with mass 0.8 kg, spring constant 18 N/m, and damping coefficient 5 kg/s. We pull the mass 0.3 m from its rest position and let it go while imparting an initial velocity of 0.7 m/s. we measure the force F required to stretch the (a) Set up and solve the initial value problem for this spring-mass system. (b) Write your answer from part (a) in phase-amplitude form, i.e. as y(t) = Aet sin(ßt – ø) %3D and graph the result. Compare with a graph of your answer from (a) to check that you have the correct amplitude and phase shift. (c) Find the values of t at which y(t)…