3) Consider this car, which can be modelled as a rigid bar with its centre of mass C.G. not coinciding with its geometric centre (m= 1000kg, ₁ = 1m; /2 = 1.5m ), and supported by two springs, k = k = 20kN/m, as shown in Figure Q1 (a) Describe the system in term of degree of freedoms (b) Draw the free body diagram for the system to derive the equations of the vibration motion (c) Determine the mass matrix and stiffness matrix of the system. (d) Determine the nature frequencies of the system Bounce C.G. Pitch ₁2 Figure Q1

3) Consider this car, which can be modelled as a rigid bar with its centre of mass C.G. not coinciding with its geometric centre (m= 1000kg, ₁ = 1m; /2 = 1.5m ), and supported by two springs, k = k = 20kN/m, as shown in Figure Q1 (a) Describe the system in term of degree of freedoms (b) Draw the free body diagram for the system to derive the equations of the vibration motion (c) Determine the mass matrix and stiffness matrix of the system. (d) Determine the nature frequencies of the system Bounce C.G. Pitch ₁2 Figure Q1

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: 3) Consider a car, which can be modelled as a rigid bar with its centre of mass C.G. not coinciding…

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

Q: Determine the mass m, the compressive force AB and the tension force in cable BC.

Q: A block of mass m hangs from the end of bar AB that is 8 meters long and connected to the wall in…

A: Given Data: Find:

Q: The system shown is subjected to three axial forces P₁ = 250 kN, P₂ = 400 KN and P3 = 275 kN. What…

A: To find: The total change in length due to loading. Given: The length of bar AB is lAB=1 m. The…

Q: Two blocks, A and B, with masses of MA = 2M and MB = M, respectively, are connected together by a…

Q: - 3.3 m supported at its left The figure shows a horizontal beam of mass M = 22 kg and length L end…

Q: A string holds and wraps around a solid cylinder (7-kg and R = 8-m). A person pulls the string…

Q: A tensile force of magnitude a N is desired to be created on the cable AB.

Q: For the spring assemblage shown below, Determine the displacement at node 2 and the for each spring…

Q: P₁ = 50 kg Si Sin At RA P = 100 kg 2 V₁ 81 951. aus B₁ A2 D1 B2 P = 100 kg Sin 30 EV V2 t D A3 D2 B3…

Q: Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a…

Q: The figure shows a kettle bell with a mass of 15kg suspended by three cables. Using the tabulated…

Q: A spade is modelled as a uniform rod, of mass 2kg and length 90cm, attached to a uniform square…

Q: A thin, cylindrical rod i = 25.0 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm…

A: Given , d=0.1 m M=2 kg l=0.25 m m=1.2…

Q: Figure Q3(b) shows a uniform bar AB of mass = 8 kg hinged at point C. Point A is connected to a…

A: Given data: The mass of the uniform bar AB is (m) =8 kg The stiffness of the spring is (K) = 500 N/m…

Q: Cord AB is 2 ft long, the force P = 76 lb, the angle 0 = 56 degrees and the spring's stiffness is k…

A: The final length of the spring can be determined from the triangle ABC by taking the cosine rule as…

Q: A 1,000-N uniform boom at - 62.5" to the horizontal is supported by a cable at an angle of weight w=…

A: Given data is

Q: Q3. Derive expressions for the displacements of the masses in Fig. 1 when m₁ = 25 lb- 1, 2, and k, =…

A: Given that-Find:Expression for the displacement of masses.

Q: Figure 1 shows the suspension system of a freight truck with a parallel-spring arrangement. Find the…

Q: Consider the system shown in the following figure, which is pivoted at point O. Suppose the system…

Q: (a) A physics lab instructor is working on a new demonstration. She attaches two identical…

A: Part (a) Step 1: List down the known values and draw a force diagram of any one of the spheres.Mass…

Q: A 0.20 kg horizontal beam has length L=0.8 m. It is supported by a fulcrum at d=0.55 m from the left…

Concept explainers

Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

Question

3) Consider this car, which can be modelled as a rigid bar with its centre of mass C.G.
not coinciding with its geometric centre (m= 1000kg, 11m; /2 = 1.5m ), and supported
by two springs, k = kx=20kN/m, as shown in Figure Q1
(a) Describe the system in term of degree of freedoms
(b) Draw the free body diagram for the system to derive the equations of the vibration
motion
(c) Determine the mass matrix and stiffness matrix of the system.
(d) Determine the nature frequencies of the system
Bounce
C.G.
Pitch
-1/2-
Figure Q1

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Write the given data.

VIEW

Step 2: (a) Describe the system in terms of degree of freedom.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 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

A moment M is slowly increased as it is applied to the disk shown in Fig. tential energy of the system with respect to a reference at e = 0° as the disk is rotated to the position 0 = 45°. The spring (k = 10 lb/in.) is unstretched at e = 0°. Determine the change in po- W = 50lb 16 in. M 8 in. www A
3.58 A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in Fig. 3.59. End P of spring PQ is subjected to a sinusoidal displacement, = xo sin cot. Find the steady-state angular displacement of the bar when / = 1 m, k = 1000 N/m, m = 10 kg, xo = 1 cm, and = 10 rad/s.
A heavy spool rests on the ground at point A and against the wall at point B. Find force F required to pull the cable off the spool in the direction shown, given:Mspool = 100 kg, rI = 200 mm, rO = 460 mm, μ = 0.2 for all surfaces.
A 10m light rod AB is horizontally placed. One end of this rod is pin supported at point A, and the other end B is connected with a rope BD, which is inclined 30° with respect to x axis. A 10kg box hangs at point C of this rod. Which of the following solutions for the tension force in rope BD is CORRECT? (g=9.8m/s²) O O O A TBD = 117.6 N TBD = 196 N TBD = 169.7 N Don't Know TBD = 98.0 N 6m ► 4m 10kg B D 30°
I need a hand sketch diagram
The lumbar portion of the human spine supports the entire weight of the upper torso and the force load imposed on it. We consider here the disk (shaded red) between the lowest vertebra of the lumbar region (L5) and the uppermost vertebra of the sacrum re- gion. (a) For the case L = 0, determine the com- pressive force C and the shear force S supported by this disk in terms of the body weight W. The weight W. of the upper torso (above the disk in question) is 68% of the total body weight W and acts at Gj. The vertical force F which the rectus muscles of the back 25 mm L3 L4 L5 G2 4r exert on the upper torso acts as shown in the figure. (b) Repeat for the case when the person holds a weight of magnitude L assumptions. W/3 as shown. State any Sacrum %3D 300 mm 50 mm 3王
Two massless springs with different spring constants k₁= 100 N/m and k₂ = 10 N/m are aligned vertically, as shown in figure 1. A block of mass m = 0.12 kg is placed on the bottom spring. The distance between the top of the box and the top spring is h = 0.35 m. You compress the bottom spring Ay = 0.3 m from its equilibrium position (figure 2). When you let go, the box flies up (figure 3) and compresses the top spring (figure 4). Treat the upward direction (↑) as positive, such that the compression of the top spring is a positive displacement. What is the maximum compression of the top spring due to the flying box? Give your answer in units of meters to 2 decimal places. Use g = 9.8 m/s^2. Assume air resistance is negligible. T h EW Ay (2) www Backup link to image (opens in new tab). fumand M риту 4 ² ↑ M ? www
P5
m2 Two masses connected by a massless string of length I slide without friction on two inclined planes as shown in the figure above. The motion is restricted to the x-y plane indicated in the figure. Gravity is acting in the negative y-direction. (a). Explain the term "virtual displacement". (b). State d'Alembert's principle of virtual work. (c). Write down d'Alemberts equation for this system in cartesian coordinates. Need detailed and step by step answer of all subparts with good handwriting Please I want to learn
A board sits in equilibrium. On the left end, there is a wire that supports the board from the ceiling, and to the right, there is a sawhorse that supports the board from the ground. The sawhorse is a distance d= 1/5l from the right edge of the board. There is a block with mass ms= 4.5kg that is a distance 3/4l from the right edge of the board. Finally the board has a mass mb= 11kg. c) Write down Newton's 2nd law. Put the equation in terms of mb, ms, g, T, and Fn. Where T is the tension in the wire, and Fn is the normal force of the sawhorse on the board. d) Write down Newton's 2nd Law for rotations. Put the equation in terms of l, mb, ms, g, T, and Fn.
Help me with STATICS OF RIGID BODIES
Parvinbhai