What is the displacement based on the following graph? Position vs. Time 20 12 -5.0 m 15.0 m -0.5 m 2.0 m
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- Fill in each of the following blanks with the appropriate word: If the displacement model used in the derivation of the element stiffess matrices is also used to derive the element mass matrices, the resulting mass matrix is called __ mass matrix.Use the first image to solve two part questionO His movement stopped. O His time was constant. O His acceleration was positive. Question 6 Velocity vs Time Time (sec) Based on the graph of velocity over time, which could be the initial velocity and the final velocity for this graph? O initial = 2.5 m/s; final = 2.5 m/s O initial = 0 m/s; final = 2.5 m/s O initial = 3.0 m/s; final = 6.0 m/s O initial = 6.Om/s: final = 3.0 m/s Velocity (m/s)
- Energy of a Roller Coaster Car 500 450 400 350 --- 3 300 250 E 200 150 100 50 6 8 10 Time (s) Mechanical Energy ....... Potential Energy -- Kinetic Energy This graph shows different types of energy for a roller coaster car that starts at the top of a large hill and goes down to its lowest point at 6 s. According to the graph, what is the most likely relationship between height and potential energy? Your answer: They are directly related. They are inversely related. There is no relationship between the two. There is not enough information for a conclusion.original 1 (spring force system) The following graph is a spring force system. M; are masses of the three items and C, are elastic coefficients of the five springs in the fixed-fixed system. M1 C = M1 C2 %3D M2 M2 M3 = C3 = C. = C3 !! Ma i. Construct a matrix to state the relationship of the nodes and springs on the graph. (The three items, ceiling and floor are nodes.) ii. Find the movements of the three items in the system. iii. If we replace the floor to another item with mass M. = 6, what are the movements of the four items. (The system become fixed-free.) 214 inSimplify the following expressions (note that dij is the Kronecker delta, repeated index means summation). (a) Stt (b) dsc dic (c) Stp Spt (e) Sfr SrsXt
- 1) Model the following problem with integer programming. The marketing department has been allocated a budget of $10M and would like to determine which products to develop advertising campaigns; note: at most one campaign can be launched for each product. Their goal is to maximize revenue for the company. Data is presented in the table below. Product A BCD E F 10 7 12 8 6 Projected Revenue ($M) Cost ($M) 6 1 2 5 4 3Hello I'm having trouble with this assignment, I don't understand how the plot function works for ordered pairs. I undertand that the points of the line would be the origin(0,0) and (x = cos(theta) . y = sin(theta)).Q1/ The figure below shows such an LSPB trajectory, where the maximum velocity V 60 deg/sec. In this case, the times are given as t.= 5 sec and t 30 sec. In addition, the joint angles in beginning and the ending q=20 deg and qf = 70 deg , respectively. For these required data , determine the following : 1- The position function and its profile. 2- The velocity function and its profile. 3- The acceleration function and its profile. 4- The function of jerk variable and what is the nature of jerk? 5- The position, velocity, and acceleration at tm-13 sec. te tm ty te ty t
- For all the following problems, a) b) 4. You need to show at least 3 iterations calculated manually with all steps. You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You must, however, show the command lines for the given functions with their variables and other parameters. Zero-pressure specific heat of dry air Mechanical engineers, as well as most other engineers, use thermodynamics extensively in their work. The following polynomial can be used to relate the zero-pressure specific heat of dry air cp kJ/(kg K) to temperature (K): 11 0.99403 +1.671×10-4T + 9.7215-10-8T²-9.5838×10- Cp = T3+1.9520×10-14T4 (a) Develop a plot of cp versus a range of T=0 to 1200 K. (b) Use bisection to determine the temperature T that corresponds to a specific heat of 1.1 kJ/(kg K). (c) What will be the value of T if you use false position method? (d) What is the percentage error between the results of (b) and (c)? For both methods use maximum…You are the mechatronics engineer of a manufacturing plant. You decide to perform an analysis on a robot arm of the assembly line with the objective of optimizing its performance. After taking several readings of the speed of the arm’s end effector, you approximate its velocity to the function given below. v(t) = -t4 + 5t3 - 7t2 + 3t + 0.22 0 =< t =< 3 where the velocity is in ms-1 d) Knowing that the distance travelled by an object is the area under its velocity-time graph, determine the distance travelled by the end effector on the interval 0 =< t =< 1 by using the mid-ordinate rule. Simpson’s rule correct to 3 decimal places using four intervals. e) Calculate the same distance as in (d) above by using the appropriate definite integral. f) Compare the distances you calculated in (d) and (e) above and comment on the accuracy of the two methods you used in (d)Problem 04 Datal 3 7 5 7 3 Data 2 -7 4 7 -9 7 8 4 3 Data 3 Store the data in a 3x8 array (use variable name data), where each row is storing the corresponding set of row data ('Datal', 'Data2', or 'Data3'). Show how to do the following analysis by hand calculation and using MATLAB commands (write down the command and the result). 4 -9 1 1 5 6 a. Mean of each row of data: b. Mean of each column of data: c. The median of each row of data: d. The standard deviation of each row of data: e. The variance of each row of data: