Q1 A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floorsteel grating supported at each level. The structure sometimes is subjected to a verticalocillation movement during rough sea waves given by function of y(t) = Y sin wt.If the steel grating only moves in the vertical direction and is supported by oneequivalent spring and damper at each steel grating pole level with stiffness, k1 = (300x 4) N/m, k2= (200 × 4) N/m and k3= (100 x 4) N/m while damping, c= (15 × 8)Ns/m, c2 = (10 x 8) Ns/m and c3 = (5 × 8) Ns/m, respectively, as simplified in FigureQ1. Neglect the effect of gravitational force.(a) Sketch a free body diagram for each steel grating that includes the mass's actionand reaction forces.(b) Determine the equation of motion in a matrix form using Newton's second law,[m]ÿ + [c]ý + [k]y = F.(c) By omitting the damping and external force parameter, deduce and express thegeneral solution in the form of ([k] – w?[m]D{Y} = 0. y3 F;(1)13k3C3m2| C2V |F:(0)F;(t)kFigure Q1

Answered: Image /qna-images/answer/d33b74bc-e926-4ae2-89a5-1f1fd3a7adbd.jpg

Answered: y3 F;(1) 13 k3 C3 m2 | C2 V |F:(0)…

Engineering

Mechanical Engineering

y3 F;(1) 13 k3 C3 m2 | C2 V |F:(0) F;(t) k 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: 2. Find the FS of the following periodic function f(x) = A when 0 <x <n f(x) = -A when n <x < 2n If…

Q: 10. With reference to Figure show, which of the following statements is false? 20 N 10 N 150 30…

A: Resolution of a force vector is a concept of resolving a force vector into components along certain…

Q: Let f(x) = √√x, g(x) = x+9 and h(x) = 1. Compute the following function value- (fh)(36) ×

Q: Express the following in complex exponential form: x[cos(yo)+jsin(yo)] Where x = 8 and y = 166.…

A: These concepts are used in mechanical control devices.

Q: 4. Please proof the below equations. (hint: please use the lever rule and draw the picture) W. M,…

A: Let's consider an alloy A-B as shown We hold the composition (C0) which is in a two-phase region at…

Q: 2. Find the function o(x, y, =) such that Vo =[2xy'+ yz Ji +[3x y +x zlj+[5z*+xy]k

Q: Activity 4 (The Water Bender) To generate electricity in one of the towns in Republic City, the town…

A: To find:a) The distance of the amplitude.b) The time taken by point P to travel one revolution.c)…

Q: Find the general solution to the following 2nd Order O.D.E., where y" = y" + y + y = 0 d² y(x) dx²

A: To choose: The correct option for solution of the 2nd order O.D.E. Given: The O.D.E. is given as,…

Q: .4 1. f(x)dx : f(x)= S 2+x?, 28x<0 -2 *+2, os×<4

Q: 1 [x 1] - 7 4 1 4

Q: 2 -3 C = 5 -1 -4 2, D= 0 1 2 1 -1 2 4 Let A= 0 3 4 -1 -2 3 |-1 0 O 2 3 Perform each of the following…

A: Given, matrix A, B,C, and D The dimension of the matrix: let for Am×n here m= number of rows in…

Q: max z %3D 5x, + 8xх, + 7x, + 4x, + 6х, || st. 2х + 3x, + 3х, + 2x, + 2х, < 20 3x, + 5x, + 4x, +2x,…

Q: Q4/ For the figure below, all dimensions in inch. A/The total Area: 1.5 2.5 2.5 2.5 2.5 Q4/B/ the…

Q: In the above diagram, what would happen if the second hill was taller than the first? (5a; DOK 3)…

A: The correct option is option 2. i.e., The roller coaster would not be able to make it over the…

Q: 2) Given the following Matlab commands x = [8 9 11; 7 10 5] [a, b] = max (x) o What the result of…

A: Here the result of the command is the maximum number in the values of x. Therefore, the result of…

Q: a. If the Pressure produced by the gas cylinder of the motor of the rocket is governed by the below…

A: Write the reduction formula for the integral . Here, m = 3 and n = 4.

Q: Q4/ For the figure below: a) Fy is: 0.6m 0.2 40° 0.8m FI-1600 N 0.4

A: Given:The following forces are acting on a body:F1=1600 NF2=1000 NF3=900 NF4=1200 N

Q: The differentials of point functions are exact differentials. Select one: O True False

Q: the x value(s) if 23x+1 = 5

A: Given Equation 23x+1=5 Take natural log both sides ln(23x+1)=ln(5) (3x+1)ln(2)=ln(5)…

Q: 1. Let a = 4S m/ sec?, V. = 5 m / sec, find V and S at the end of 4 sec.

A: Given:- Acceleration (a) = 4S m/s2 Initial velocity (Vo) = 5 m/s To Find:- Velocity (V) and…

Q: Y(t) = t°e¬t => Ys) =? А: 3 Y(s) (s + 1)4 B: 6.

A: givenyt=t3e-tfindlaplace of yt ie. ys=∫0∞yte-stdt

Q: Q2 The accompanying figure shows the graph of a -2 -1 function g(t) domain [-2, 0] and range [-4,…

Q: Q6 (a) Verify the Reynolds Number, Re DVD is dimensionless. = 14 (b) Figure Q6 (b) shows water flows…

A: a) To verify: The Reynold number Re is dimensionless.

Q: I. IF A [(<+1) (x-5) 1 2 3 -5 and B 8 = 6 7 -- -2x (2x+1 Find the values of x if AB = 25 1)

Q: 1 Write the real value of the following number which are represented in 2's complement. (1) 1111…

A: Since we only solve one question at once, we will solve the first one. Please submit the question…

Q: 4. ABC = X LCD=X AB ABC

Q: For the following figure, the m The Kinetic energy will be in the form of T = Q8² The Potential…

Q: (a) Sketch a free body diagram for each steel grating that includes the mass's action and reaction…

A: As per honor code and answering guidelines I can answer 1st three subparts at a time.If you want…

Q: F1 FR F;= 200 N 12 13 5 F,=260 N

Q: Q6: The distance between projections of the points C and D is 6.5 cm, for the line CD. C (xc, 1.5) &…

Q: If an object is moved a distance D in the direction of an applied constant force F, then the work W…

Q: Consider the figure as shown below. 2.1 Please describe [A, B, C, D] and [A', B', C', D'] in frame…

A: Given: To find: Describe in matrix form Transformation matrix

Q: Given the function f(x) = v2 · xã on the stretch 0 <xs 2, Use L·x = " x • /1+[f'(x)]* dx_ to…

Q: The raising time of a first order system is the time required to reach 90% of the final value.…

A: The rise time of a system is the time taken to reach from one state to another. Generally, in…

Q: Q1: Information related to frame a, frame b and point p are shown in the figure below, according to…

A: There is frame a and frame b is given. Point 1 makes an angle 60° and 30°.

Q: Express the following in complex exponential form: x[cos(yº) + jsin(yº)] Where x = 7 and y = 109.…

Q: 2) f (x) = cos x at a = 0

Q: Q: for the following equation, what are the units of x., u, and a if X, is the distance in the time…

Question

Q1 A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floor
steel grating supported at each level. The structure sometimes is subjected to a vertical
ocillation movement during rough sea waves given by function of y(t) = Y sin wt.
If the steel grating only moves in the vertical direction and is supported by one
equivalent spring and damper at each steel grating pole level with stiffness, k1 = (300
x 4) N/m, k2= (200 × 4) N/m and k3= (100 x 4) N/m while damping, c= (15 × 8)
Ns/m, c2 = (10 x 8) Ns/m and c3 = (5 × 8) Ns/m, respectively, as simplified in Figure
Q1. Neglect the effect of gravitational force.
(a) Sketch a free body diagram for each steel grating that includes the mass's action
and reaction forces.
(b) Determine the equation of motion in a matrix form using Newton's second law,
[m]ÿ + [c]ý + [k]y = F.
(c) By omitting the damping and external force parameter, deduce and express the
general solution in the form of ([k] – w?[m]D{Y} = 0.

y3 F;(1)
13
k3
C3
m2
| C2
V |F:(0)
F;(t)
k
Figure Q1

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Elastic Constants and Their Relationship

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 = (A1)ï+ (A2)J + (A3)k A = 2, B = 3 B = (B1)ï + (B2)J + (B3)k ĀxB = ? Ā.B= ? JÃ×B]= ?
Q4/B/ the value of X-bai Q4/ For the figure below, all 0.987 dimensions in inch. A/The total O 2.5 Area : * O 0.857 O 0.254 y 0.398 O 1.06 1.5 O 2 0.65 2.5 0.5 2.5 O 0.487 0.55 2.5 2.5 Other: 3.
- Python 3 (pyke We have learned the mid-point and trapezoidal rule for numercial intergration in the tutorials. Now you are asked to implement the Simpson rule, where we approximate the integration of a non-linear curve using piecewise quadratic functions. Assume f(x) is continuous over [a, b]. Let [a, b] be divided into N subintervals, each of length Ax, with endpoints at P= x0, x1,x2,..., Xn,...,xN. Each interval is Ax = (b-a)/N. $ The equation for the Simpson numerical integration rule is derived as: df(xn)) + 2 (Σ=2n even Now complete the Python function InterageSimpson (N, a, b) below to implement this Simpson rule using the above equation. The function to be intergrate is f(x) = 2x³ (Already defined in the function, no need to change). Sof(x)dx≈ [f(x) + 4 (N= []: 'Complete the function given the variables N, a,b and return the value as "TotalArea". " "Don't change the predefined content only fill your code in the region 'YOUR CODE" a Idle Mem: 262.63/12288.00 MB F4 R from math…
X3(s) for the system in Figure Q4. Where, M, = M, = M3 = F(s) Q4 Determine transfer function %3D 1 kg, K, = K2 = 1 Nm-1 and C, = C2 = 1 kgs-1.
Draw the corresponding scheme and find the equation on the right. Method used and Four assumptions hA Tc.v.(t) = Taire + [Tc.v.(tt) – Tairele locp)"
4
Let f(x) = √√√x, g(x) = x + 8 and h(x) = . Compute the following function X (fh)(4)
Q6 (a) Figure Q6(a) shows an example of pressure vessel with radius of r, and yield stress Oy. Suppose the vessel is subjected to uniform internal pressure p, determine the minimum thickness to sustain the pressure according to: (i) Von Mises yield criterion (ii) Tresca yield criterion
Multiply, if possible, matrices D and -2H
Multiply, if possible, matrices B and C
2.x {x: (x- 2)(x+1) 20}
{x:²-1, 20} x² +1 It