A simplified SDOF model of a vehicle suspension system is shown in below Figure.The mass of the vehicle is 500 kg. The suspension spring has a stiffness of100,000 N/m. The wheel is modeled as a spring placed in series with thesuspension spring. When the vehicle is empty, its static deflection is measured as5 cm.(a) Determine the equivalent stiffness of the wheel(b) Determine the equivalent stiffness of the spring combination.(c) Determine the natural frequency fn of the systemkskwmwwSuspensionspringWheelI stiffness

Answered: Image /qna-images/answer/b92cbb80-55d5-4dcb-a97e-6ca14c83d71e.jpg

Answered: (a) Determine the equivalent stiffness…

(a) Determine the equivalent stiffness of the wheel (b) Determine the equivalent stiffness of the spring combination. (c) Determine the natural frequency fn of the system

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

Related questions

Q: You can assume that each shaded cell is 1m x 1m square. Forces are applied at either the top edge,…

A: You can assume that each shaded cell is 1m x 1m square.Forces are applied at either the top edge,…

Q: Why is acers not accounted for in the conversions?

A: There is no unit given as 'acres'. It is meant to be ACFM (Actual Cubic Feet per Minute) for the gas…

Q: Determine the form of an equation for the distance (s) that a sphere will fall in time t, if it…

Q: 1. Liquid nitrogen of 10 lbm mass is located inside the container under the 350psi pressure at the…

A: The mass of liquid nitrogen is The initial pressure is The initial state is saturated liquiidThe…

Q: 20 marks)For the Heat Pump System (HPS), describe and explain: the structure, the functionality of…

A: The objective of this question is to understand the structure, functionality, controlling devices,…

Q: A constant-property, one-dimensional plane slab of width 2L is initially at a uniform temperature.…

Q: The cable and pulley system at D is used to maintain rigid bar AC in the position shown. Bar AC is…

A: Weight of the boxa=4 m and b=5 mDiameter of the pin AAngle made by AC from the horizontal

Q: A 32-g steel-jacketed bullet is fired with a velocity of 690 m/s toward a steel plate and ricochets…

Q: Please draw the picture of this problem and solve it. A uniform rigid disk has mass M and radius…

A: To determine the force to pull rod and disc apart, given mass of the disc mass of the rod radius of…

Q: Problem 2. A steel bar AD (see figure) has a cross-sectional area of 258 mm² and is loaded by forces…

A: Given: Cross sectional area of the rod AD is forces acting are , and .The length segment of the bar…

Q: A part is subjected only to bending loads and is fabricated from a cast iron (brittle) with: SUT =…

Q: Problem 2 A particle of mass 3m is suspended from the ceiling by a spring of force constant k. A…

Q: A hemp rope L = 10 m long and d = 46 mm in diameter is supported from one of the roof beams in a 50…

Q: Consider a mass-spring system shown below. X1 m The system model is given by m 1 2 k₁ 00000 d₁2 m₁…

Q: Determine the magnitude of maximum stress

Q: Q7 An amount of water substance having a mass of 1 kg is contained in a vessel at a pressure of 1…

Q: A tank contains a two-phase liquid-vapor mixture of Refrigerant 22 at 10 bar. The mass of saturated…

A: The objective of the question is to determine the volume of the tank and the fraction of the total…

Q: A garden lawn spreader is powered by the wheels. The wheels are connected to the spreader by a set…

A: The velocity of the wheel is .The radius of the wheel is .The diameter of the gear 1 is .The…

Q: For the pipe-flow reducing section of the figure shown, D1 = 8 cm, D2 = 5 cm, and p2=1 atm.…

A: Total horizontal force resisted by the flange bolts, Fbolts = 162.748 N Explanation:Step 1:

Q: Determine the radius of the path, the normal force between the particle and the drum.

A: W is weight of mass.N is normal reaction force between contact surfaces. is centrifugal force due to…

Q: Develop a CSG chart for the following component. Is this a solid object? B3 B₁ B₂ B₁

Q: Figure Q1 show a 35kg ball pull by a force of 250 N horizontally to the ring A. Determine the…

A: Given data:Find:The dimension d is:

Q: The title of our study is "Design and Fabrication of an Agricultural Spraying Attachment for an…

A: Design and fabrication of an Agriculture Spraying Attachment for an Autonomous Rover.The rover…

Q: The spring of modulus k=850 N/m is stretched a distance 6 = 74 mm when the mechanism is in the…

A: Given data:The modulus of spring is K = 850 N/mm

Q: a) An engineer must decide how many machines of a certain type to purchase. Each machine can process…

A: Given:The fixed cost of one machine (say A), The fixed cost of other machine (say B), The variable…

Q: For the material indicated determine the required diameter of the rod.

Q: For the following velocity field, determine the constant a for having an incompressible fluid flow.…

Q: The figure below shows a parallel piping system that delivers turpentine to a mixing tank, where it…

Q: Consider the pipe assembly in (Figure 1). F₁ = {30i +40j-30k) N. F2 = {601 - 10j-15k} N. Figure 0.8…

A: The force applied is

Q: The Pitot tube on a supersonic aircraft (see the Video) cruising at an altitude of 25000 ft senses a…

Q: The closed boiler of volume 0.5m3 contains water-vapor mixture with a quality of 0.75 at the initial…

A: All the questions are different . So according to our guidelines, we are supposed to answer 1st…

Q: Engine Type: Single cylinder Four stroke Diesel engine, Bore: 0.0875m, Stroke: 0.11m Capacity: 661.5…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Given F is 10 kN, determine the forces in each members of the truss (indicate tension or…

Q: Steam expands adiabatically in a turbine from 2000 kPa, 400 degrees C to 400 kPa, 200 degrees C.…

Q: How does the selection of materials impact overall productivity in manufacturing processes?

A: Efficiency: Every product embodies durability, speed and process ability. Choosing the right…

Q: 5.4 Water flows out through a set of thin, closely spaced blades as shown in Fig. P5.4 with a speed…

Q: The 3-kg crate rests on the 10-kg cart where the coefficients of static and kinetic friction are ps…

A: The mass of the crateThe mass of the cartFrom the figure, the distance which the crate travels for…

Q: A thin cylinder 75mm internal diameter, 250 mm long with wall 2.5mm thick is subjected to an…

A: The objective of the question is to determine the change in internal diameter and length of a thin…

Q: The sum of two independent normal random variables x₁ and X2 given byx1+2 = X₁ + x₂ is also normal…

Q: Find the forces in all the members of the truss shown in the figure. If all the members have the…

A: Given:The cross-sectional area of each member is The modulus of elasticity of each member is

Q: One-dimensional, steady-state conduction with uniform internal energy generation occurs in a plane…

A: There is steady state one dimensional heat conduction with uniform internal heat generation.Heat…

Q: The normal stress at point a is The shearing stress at point a is MPa. MPa.

Q: 5.19 Two rivers merge to form a larger river as shown in Fig. P5.19. At a location downstream from…

A: For river 1Velocity at inlet, V1=3 ft/sWidth of the river, W1=50 ftDepth of the river, d1=3 ftFor…

Q: 4. (Without regeneration) Air enters the compressor of a Brayton cycle at 100 kPa, 300K with a mass…

A: The inlet pressure of at compressor is The inlet temperature at compressor is The inlet temperature…

Q: the distance in meters from the bottom of the reservoir to the center of pressure?

Q: The inlet line of a pump is 4-nominal schedule 40 PVC pipe that is 9.14 m long and includes one…

A: To findDetermine where the location of the water level in the tank should be with respect to the…

Q: ho A L d hy Figure Q2: Tank with drainage pipe (Question 2).

Q: The science behind the phenomenon of a tongue sticking to a metal pole on a winter day is that the…

Q: A spacecraft radioisotope thermoelectric generator (RTG) contains a cylindrical nuclear element,…

Q: The 18 000-kg F-35B uses thrust vectoring to allow it to take off vertically. In one maneuver, the…

A: The objective of the question is to determine the time it will take for the airplane to reach a…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

A simplified SDOF model of a vehicle suspension system is shown in below Figure.
The mass of the vehicle is 500 kg. The suspension spring has a stiffness of
100,000 N/m. The wheel is modeled as a spring placed in series with the
suspension spring. When the vehicle is empty, its static deflection is measured as
5 cm.
(a) Determine the equivalent stiffness of the wheel
(b) Determine the equivalent stiffness of the spring combination.
(c) Determine the natural frequency fn of the system
ks
kw
m
ww
Suspension
spring
Wheel
I stiffness

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Draw the free body diagram for given mass under static deflection condition.

VIEW

Step 2: Determine the equivalent stiffness of the spring combination.

VIEW

Step 3: Determine the equivalent stiffness of the wheel.

VIEW

Step 4: Determine the natural frequency of the system.

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

2. Below is a picture of a car suspension system with additional springs (in red) added in series. Assume the car remains "level" (i.e. no rotational motion of the car body, only vertical motion). The original springs are ks modeling tire/road interaction). The car mass is m = 2,000 kg. 20, 000 N/m (the suspension spring), and kt 100, 000 N/m (the spring %3D The springs are all in equilibrium when d = 0.4 m. Ignore gravity in this problem. The point of the additional spring k is to make the ride more "bouncy" (some people like it that way). However, you need to make sure the car does not "bottom out" (i.e. hit the bump). It is known that when the springs are unstretched/uncompressed, the marimum vertical velocity can be is 1 m/s. What is the minimum value of the spring constant k (of the additional red spring) so that the car does not hit the bump during its vertical oscillations. Hint: Use energy balance. kis k's kt Figure 4: Simplified car model with upper springs representing…
A 68 kg mass is supported by the three springs as shown. The initial displacement is 15 cm downward from the static equilibrium position. No external forces act on the mass after it is released. The equivalent spring constant is 5600 N/m. What is the static deflection of the mass? [Don't copy from other site]
B- For the spring system given in Fig. B, Model the problem using Combine 14 element in ANSYS Mechanical APDL software, (With Screen Capture Step by Step) then, answer these questions: (Ki=1000 N/mm, K2= K4 = 500 N/mm, K=400 N/mm) (Fi=100 N, Fz=120 N). 1- Describe the element type that you used in the model. 2- Solve for the nodal displacements. 3- Solve for the reaction forces. ki 2 k2 F2 k3 www-wwwm 3 3 5 Fig. B
2- Two mass-spring systems A & B both have stiffness of k-10 N/m. The mass of system A is twice the mass of system B (mA=2mg= 1 kg), which system will oscillate faster? Why? Support your answer with a plot.
A coil spring suspension is designed as a suspension for a mega truck that will be released in the future with a viscous damper. a.) What is the bumper's damping coefficient such that the system has a damping ratio of 1.25 when the bumper is engaged by a 20 tons railroad car and has a stiffness of 2 x 10^5 N/m? b.) Another load for the truck has been installed that has a mass of only 4500 kg. What are the natural frequency and a damping ratio of a system with the coil spring suspension when the load is being applied?
(PSD) A precision milling machine, weighing 4500 N, is supported on a rubber mount. The force-deflection relationship of the rubber mount is given by F = 270x + 0.25(x^3). Determine the equivalent linearized spring constant of the rubber mount at its static equilibrium position.
An object with a mass of 0.5 kg is released at a distance of 2 m, the spring coefficient k = 100 N / m and the object is in the same direction after impact. If it is known to rebound on the road throughout; a) Find the maximum compression and maximum spring force in the spring. b) Find the rebound height if e = 0.5. (Assume that the spring behaves linearly during deformation, when the object leaves the spring, the spring regains its initial length (L) and energy is conserved during compression.) ① The object is 2 m above the arc and is at rest. ② The object is about to hit the spring. ③ It is the moment when the object compresses the spring as much as. ④ It is the moment when the spring is most compressed, the object is at rest at this moment. ⑤ It is the moment when the object loses contact with the spring. ⑥ The object is at the top h of the spring as a result of becomes immobile at distance.
Write the global stiffness matrix of the spring assemblage shown. Assume that all springs remain horizontal, the vertical bars at nodes 2 and 3 are rigid and allowed to slide horizontally to the left or right. Node 1 K1 = 2000 lb/in K2 = 2000 lb/in Node 2 m K3 = 1500 lb/in K4 = 1500 lb/in Node 3 F = 250 lb ma K5 = 3000 lb/in Node 4
k, k3 A В k2 What is the equivalent spring stiffness between the points A and B. If ki = 1 N/m, k2 =1 N/m. k3 = 2 N/m and k4 = 2 N/m A N/m
Consider the two-degrees-of-freedom mass-spring system below. Assume m₁ = 30 kg, m2 = 35 kg. If the second natural frequency of the system is 100 rad/s, the value of stiffness k is www. k₁=k k₂ = k k3= k 174.41 kN/m 107.38 kN/m 140.93 kN/m 39.24 kN/m 73.62 kN/m Next 000 00 Previous 4 x₁ (t) x₂ (t) m₁ m₂. mm
Three springs with different spring constants are connected as shown below. You are going to use spring elements to simulate this system. Suppose that the spring constants of the first, second and third elements are k1=3,410 N/m, k2=3,160 N/m and k3=3,380 N/m, respectively. Two horizontal forces are applied to the system (as shown) at nodes. 2 and 3. Find the displacement of node 3 and write your answer in mm (millimetre). Hint: Write your answer with 5 decimal places. For example if you calculated the value 1.2345678, then rounding off to 5 decimal places yields 1.23457 and that is the value you need to type in the answer box. U₁=0 (1) F₂ = 2N U₂ = ? F3 = -1N (2) M U3 = ? (3) U4 = 0
Consider the following spring system. Assume down is the positive direction. Write the stiffness mirix K- • Compute the displacements caused by the external forces f = - Displacement = C₂ m mi heees3 m₂ Hom 3 7/////// with spring constants c = 134