Lab 05 Force and Motion Part I

The governing equation of motion for a base motion system is given by (assume the units are Newton) mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t) %3D Given that m = 180 kg, c = 30 kg/s, Y = 0.02 m, and о, — 3.5 rad/s %3| 1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.

lail - Ahmed Amro Hussein Ali A x n Course: EN7919-Thermodynamic x Homework Problerns(First Law)_S x noodle/pluginfile.php/168549/mod_resource/content/1/Homework%20Problems%28First%20Law%29_SOLUTIONS.pdf UTIONS.pdf 4 / 4 100% Problem-4: When a system is taken from a state-a to a state-b, the figure along path a-c-b, 84 kJ of heat flow into the system, and the system does 32 kJ of work. (i) How much will the heat that flows into the system along the path a-d-b be, if the work done is 10.5 kJ? (Answer: 62.5 kJ) (ii) When the system is returned from b to a along the curved path, the work done on the system is 21 kJ. Does the system absorb or liberate heat, and how much? (Answer:-73 k]) (iii) If Ua = 0 andU, = 42kJ , find the heat absorbed in the processes ad and db. (Answer: 52.5 kJ, 10 kJ)

A mechanical system is presented as below. There are four simulation graphs for different values for m, b and c tested for a step response. Identify the graph for m=4 kg, b=0.3 N.s/m and k=1 N/m (Hint: you may need to use matlab simulation to find it). m 1.8 1.6 1.4 b ·f(t) Step Response

1. For the following concentration expressions, indicate whether they are uniform or nonuniform and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the following control volume and origin, and table of constants, use Excel or Matlab to graph profiles that show how concentration changes within the control volume and over time to a limit of 20 for the following: C(x,0,0,0), C(0,y,0,0), C(0,0,z,0) and C(0,0,0,t). On each graph, show which parameters are held constant, the CV boundaries, and the point where all four plots overlap. 20 C(x=0) 10 a 0.0001 b 0.001 | 20 0.01 k 0.1 100 All of the following functions are C(space, time) and so not necessarily just x as suggested. a. C,(x)= C,(x = 0)x exp{- ax}

is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². DO C.D Frontly у Your tasks: No Deflection m k Fg = mg Initial Condition y m k Write down an expression for the total energy If as the sum Write down an expression for the total energy H Fg = mg Figure 3: System schematic for Problem 4. Yi & X Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. as the sum of potential and kinetic energy in terms of y, y, yi C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of…

T'sec In helical spring experiment a student plotted the graph of T2 versus the oscillating mass (M), and Used the slope to find the spring :constant, the value of k is 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 O. O a. 13.3 N/m O b. 6.8N/m O c. 5 N/m O d. 3.3 N/m O e. 24 N/m 5 10 15 20 25 30 35 40 45 50 55 60 65 M (9) 70 75 80

I want to run several shocks in my calibrated DSGE model. I want the shock “a” to happen at period 0, shock “b” at period 2 and shock “c” at period 5. Also, I want to run a shock of 1 % to the variable “a”, 2 % to variable “b” and 10 % to variable “c”. How would I write it in the Dynare code? The model is log-linearized around the steady state and all endogenous variables are set at 0 at the steady state.

A Do Now- Work and Energy Tran: x + ure.com/courses/44384/assignments/1494085 Al. O Google Drive LTI TumingPoint-Parti.. 4 Roots, Multi, and Fu.. A Roots, Multi, and Fu. A Roots, Multi, and Fu. O https://student.pas. y = 0 h Write down an equation for the total energy in the system at point 1 and point 2, before and after the change in height and speed. Part 2- Complete the Table using the image above: Use the tables below to calculate the kinetic energy of the cart at point 2 for the following values: m=2,000 kg, h; = 30 m, hf= 16 m Point 1 (initial) Point 2 (final) Ep (J) Ex (J) Ep (J) Ek (J) ETotal J) ETotal (1)

Given: The plane accelerates in its current trajectory with a= 100 m/s^2 Farag Angle theta= 5° W=105 kips F_drag= 80 kips m= 1000 lbs Find: F_thrust, F_lift Please include the KD. Fthrust Futel t Fueight 000 BY NC SA 2013 Michael Swanbom

PIoVide ue comect u We want to design an experiment to measure oscillations of a simple pendulum on the surface of Jupiter with acceleration due to gravity g= 30 ms 2. We have to make do with a rudimentary video camera with a frame rate of 15 Hz to record oscillations in a pendulum and use it to measure the frequency of oscillation. The smallest length of the pendulum that we can send so that the correct oscillation frequency can be measured is cm. Assume perfect spatial resolution of the camera and ignore other "minor" logistical difficulties with this experiment.

For the following concentration expressions, indicate whether they are uniform or nonuniform and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the following control volume and origin, and table of constants, use Excel or Matlab to graph profiles that show how concentration changes within the control volume and over time to a limit of 20 for the following: C(x,0,0,0), C(0,y,0,0), c(0,0,z,0) and C(0,0,0,t). On each graph, show which parameters are held constant, the CV boundaries, and the point where all four plots overlap. 20 C(x=0) 10 a 0.0001 b 0.001 20 0.01 y k 0.1 100 All of the following functions are C(space, time) and so not necessarily just x as suggested. a. C,(x)= C,(x = 0)x exp{- ax} d. C, (x) = C, (x = 0)x exp{-ax}x exp{- by² }x exp{-cz²}x exp{- kt}

As4.  This is my third time asking this question. Please DO NOT copy and paste someone else's work or some random notes. I need an answer to this question.   There is a mass attached to a spring which is fixed against a wall. The spring is compressed and then released. Friction and is neglected. The velocity and displacement of the mass need to be modeled with an equation or set of equations so that various masses and spring constants can be input into Matlab and their motion can be observed. Motion after being released is only important, the spring being compressed is not important. This could be solved with dynamics, Matlab, there are multiple approaches.

Physics 121 Spring 2021 - Document #11: Homework #04 & Reading Assignment page 4 of 8 Problem 1: Gnome Ride - This from a Previous Exam I. A Gnome of given mass M goes on the Gnome Ride as follows: He stands on a horizontal platform that is connected to a large piston so that the platform is driven vertically with a position as a function of time according to the following equation: y(t) = C cos(wt) Here w is a constant given angular frequency, C is a given constant (with appropriate physical units) and y represents the vertical position, positive upward as indicated. Part (a) - What is the velocity of the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (b) – What is the net force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (c) – What is the Normal Force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Some Possibly Useful…

(Q-4) Balance the meter stick with two weights and a rock. 0 cm 100 cm Jrock 100g position (cm) weight (gwt) lever arm (cm) torque (gwt cm) Rock 10.60 XXXXXX XXXXXXXX Weight 1 구군, 60 150 cw Weight 2 93.5 100 (Q-5) Assume that the torques balance and use this fact to calculate the weight of the rock. Z Tecw Złcw = Wrack

Excel File "LO1 Data' Max Max Max Load Stress Elongation material (mm) (Kg/m3) 10 7850 (Kg) 3000 Density of rod (Mpa) 200 young's modulus for the rod (Gpa) 80 Length of Rod (ft) 7 Cross-sectional area of Rod (mm2) 9mm x 9mm 81 Poisson's coefficient of linear ratio for expansion for rod, rod a (x 106/°C) 0.25 10 The support rod has undergone complex loading due to the combination of axial loading and thermal loading (as indicated in part vi). Critique the behavioral characteristics of the rod material subjected to the complex loading. (See attached Excel File "LO1 Data") As such you should also: Construct a free-body diagram illustrating the forces acting on the rod and the effects of two- dimensional and three-dimensional loading. Discuss the elastic constants applicable in calculating the volumetric strain in this rod due to loading via the weight of the load. The rod has undergone complex loading. Critique the behavioral characteristics of the rod material subjected to the complex…

I1 Give an example how it is applied in molecular dynamics simulation and Monte carlo simulation? Typical distributions of particles in a volume (e.g. crystal structure for a solid, or distribution of masses and velocities in a “typical” galaxy) - Distributions of particle velocities/energies (e.g. Boltzmann distribution at a fixed temperature) - E.g. for a liquid it is common to start with a solid crystal structure and let the structure “melt” (by setting appropriate velocities corresponding to the liquid phase temperature!)   - E.g. to setup a collision of two galaxies, you could try to generate a stable distribution of masses and velocities for a single galaxy first by performing a separate simulation -E.g. A simple model of a phase transition between a low temperature ordered phase (ferromagnet) and high temperature disordered phase (paramagnet) whats the difference in phase space in Molecular dynamics and Monte Carlo simulation?

1. The following diagram shows a model of a river. a. Give a dynamic systems model for h1, hz and h3 (does not need to be in state-variable matrix form). The system inputs are qmi and qm2. b. In steady state, what is the flow out of the tank on the right? Use the following values: qm1 = qm2 = 20 kg/s, A1 = Az=1 m², p = 1 kg / m³, r = 1, R = 1 / m-s; use g = 10 m/s². [Hint: This can be solved without much work. Don't spend too much time on this part.] Im2 Iml A R | A2 R R

model which produces dynamic similarity. For water, density is 1000 kg/m³ and dynamic viscosity is 0.001 Ns/m². For oil, density is 750 kg/m³ and dynamic viscosity is 0.2 Ns/m². Question 2 1. The resistance to motion R for a sphere of diameter d moving at constant velocity u through a compressible fluid is dependent on the density p and the bulk modulus K. The resistance is primarily due to the compression of the fluid in front of the sphere. Show that the dimensionless relationship between these quantities is given by: Ne= (Ma)

permanent-magnet (pm) genera x Bb Blackboard Learn L STAND-ALONE.mp4 - Google Dri x O Google Drive: ülwgjuó jc lis u O ME526-WindEnergy-L25-Shuja.p x O File | C:/Users/Administrator/Desktop/KFUPM%20Term%232/ME526/ME526-WindEnergy-L25-Shuja.pdf (D Page view A Read aloud T) Add text V Draw Y Highlight O Erase 17 of 26 Wind Farms Consider the arrangement of three wind turbines in the following schematic in which wind turbine C is in the wakes of turbines A and B. Given the following: - Uo = 12 m/s A -XẠC = 500 m -XBC = 200 m - z = 60 m - Zo = 0.3 m U. -r, = 20 m B - CT = 0.88 Compute the total velocity deficit, udef(C) and the velocity at wind turbine C, namely Vc. Activate Windows Go to Settings to activate Windows. Wind Farms (Example Answer) 5:43 PM A 4)) ENG 5/3/2022 I!

Part III Capstone Problem Interactive Physics - [Lab7Part3.IP] Eile Edit World View Object Define Measure Script Window Help Run StoplI Reset 圖|& 品凸? Time Length of Spring 22 6.00 dx Center of Mass of Rectangle 2 5.000 Tension of Rope 3 Jain@ IFI ... N ot rot ***lad Split 4.000 Velocity of Center of Mass of Rectangle 2 Vx Vx V Vy MM Ve - m/s m/s 3.00 *** m/s Vo ..* lad/s 2 00 Center of Mass of Rectangle 1 1.000 tol rot *.* rad EVelocity of Center of Mass of Rectangle 1 Vx Vx VVy M 0.000 -m/s w 30 m/s w.. MI Ve 母100 *** m/s Vo ... rad/s + EAcceleration of Center of Mass of Rectangle 1 Ax Ax A Ay AUJAI Ae --- m/s^2 ... m/s^2 -- m/s^2 .-- rad/s^2 3.00 Aø Mass M1 = 2.25 kg is at the end of a rope that is 2.00 m in length. The initial angle with respect to the vertical is 60.0° and M1 is initially at rest. Mass M1 is released and strikes M2 = 4.50 kg exactly horizontally. The collision is elastic. After collision, mass M2 is moving on a frictionless surface, but runs into a rough patch 2.00…

is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². No Deflection m k Fg = mg Initial Condition m k Fg = mg Figure 3: System schematic for Problem 4. Yi 8 Your tasks: A Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. B Write down an expression for the total energy H as the sum of potential and kinetic energy in terms of y, y, yi and element parameters. Will H change as the mass moves? C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of position, y, the initial…

P1.12: An aluminium thin-walled sphere is used as a marker buoy. The sphere has a radius of 65 cm and a wall thickness of 10 mm. The density of aluminium is 2700 kg/m³. The buoy is placed in the ocean where the density of the water is 1050 kg/m³. Determine the height H between the top of the buoy and the surface of the water. MATLAB Basics 87 H.

QI\ A 150'F cup of coffee left in 70'F room. At time initially the coffee is cooling at 4 F per minute. Write an initial value problem (differential equation with initial condition) and what is the temperature of cup of coffee after 1 hour? How long does it take for coffee to cool to 90 F?

The center of mass for a human body can be determined by a segmental method. Using cadavers, it is possible to determine the mass of individual body segments (as a proportion of total body mass) and the center of mass for each segment (often expressed as a distance from one end of the segment). Finding the overall body center of mass can be a complex calculation, involving more than 10 body segments. Below, we will look at a simplified model that uses just six segments: head, trunk, two arms, and two legs. Search y X As a percentage of total body mass, the head is 10%, the two arms are 10%, the trunk is 56%, and the two legs are 24%. The center of mass for each segment is given as an (x,y) coordinate, both units in cm: head = (0, 165), arms = (0, 115), trunk = (0, 95), and legs = (0, 35). Assume the body mass for the individual is 88 kg and their total height is 180 cm. Determine they and y coord 99+ H of mass

Dtes 6) Take a look at the picture below. Initially the system is at rest. The spring is activated and sends the mass moving with tangential speed "v" and the disk rotating with angular velocity "w". Find expressions for these parameters in terms of the variables given. Final I nitind At Rest Dişk Rolutes Sprivag: compressx a mass と szring Cons & ingetid velocty muss Rotafiond ふnertiu ofDk

An aircraft wing is modelled by using a specific element which composed of 2 nodes as shown below. Each node of this element has 1 degree of freedom. If the total nodes used within the model be equal to 2,690, calculate the total degree of freedom of the system. element Node 1 Node 2 Your Answer: Answer