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- Site: ENGG251 (S122) Mechanics moodle.uowplatform.edu.au/mod/quiz/secured.php#lockdown S PowerPoint Presentation Slide 1 S M Gmail Final exam (Remotely Procto Question 1.1 1 d A steel rod, shown in Figure Q1.1, is subjected to a uniform tension force P. Which one of the following statements is correct? Note: d is the rod diameter, v is the Poisson's ratio and E is the modulus of elasticity. Figure Ql.1 O a. 4P The elongation is given by Επd2 O b. The diameter increases. 4P O C. Επd2 The lateral strain in the y-direction is given by Od. There is no strain in the y-direction Question 1.2 A material has a modulus of elasticity E Proctorio is sharing your out of Jestion 8= e' = -v Quiz Too1) It is desired to determine the force in each member and the reaction forces for the truss shown in the figure below. l1000 Ib 后B 30° 60° F a) Derive the system of linear algebraic equations needed to solve this problem. State the assumption(s) made in your derivation. b) Express this set of linear algebraic equations in matrix form. c) Write a Matlab program which can be used to solve for the forces.2. There were 42 mangoes in each crate. 12 such crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. Write a numerical expression in MATLAB syntax to represent this situation and then find how many boxes of mangoes were there? OFocus 4:20 AM 28°C Mostly clear 3/26/2022 LG CVENUENS THANOS BOBBLEHEAD AMANLANTE A ON CABIA ANn POCKET YOP! AVENGES KEYCHAIN INFINITY WAR Handy Fan THANOS BOBBLE HEAD IGENA ERANLIA P COs CA AN
- 4:16 Search Expert Q&A Done Please solve question 16-109 below this in the follwoing way: • Please include a kinamatic diagram (one for velocity and one for acceleration). • Please DO NOT solve this using velocity analysis (cartesian vector analysis). I would like it to be solved using scalar method. We dont use 3D in this course. We only use scalar analysis for the relative velocity equation (writing the x and y components of the equation and solving the equations for the unknowns). I have attached a sample question with solution in order to get an idea on how to use the scalar method to solve my question. I would like question 16-109 to be solved in a similar way. Thank you for your understanding. If you can solve it as soon as possible that would be great and I will give you a thumps up and positive feedback :) 16-109. Member AB has the angular motions shown. Determine the angular velocity and angular acceleration of members CB and DC. 100 mm D 60° 450 mm W AB α AB 84 = 2 rad/s = 4…Please provide equations that you are using so I can follow along and learn how to do this. In Jamestown, NY, a coal power plan consumes coal at a rate of 80 tons/hr. When coal burns, it generates approximately 30,000 kJ for every kg of coal burned. The cooling course for the plant is the nearby Chadakoin River nearby and, by code, the power plant cannot reject more than 13.19 x 109 MJ into the river annually. Determine the maximum average power output of this plant and it's maximum thermal efficiency. To check your work, enter the efficiency, as a decimal, in the box provided.Task 3 a. If the Pressure produced by the gas cylinder of the motor of the rocket is governed by the below equation: P = sin* (V)cos³ (V) And the energy is given by: V2 W = PdV Jyi If V2=2V1, Find W. ii. Use Matlab or excel to plot the Energy in the interval [0, 2n] i. What will be W if V2=4V1. ii.
- Learning Goal: To use the principle of linear impulse and momentum to relate a force on an object to the resulting velocity of the object at different times. The equation of motion for a particle of mass m can be written as EF dv = ma = m dt By rearranging the terms and integrating, this equation becomes the principle of linear impulse and momentum: t2 ES F dt = m f dv = mv2 – mv1 V1 For problem-solving purposes, this principle is often rewritten as mvị +£ F dt = mv2 The integral F dt is called the linear impulse, I, and the vector my is called the particle's linear momentum. A tennis racket hits a tennis ball with a force of F = at – bt?, where a = 1200 N/ms , b = 500 N/ms? , and t is the time (in milliseconds). The ball is in contact with the racket for 3.05 ms . If the tennis ball has a mass of 62.6 g, what is the resulting velocity of the ball, v, after the ball is hit by the racket? Express your answer numerically in meters per second to three significant figures. • View Available…Inclined plane diagram: Also String 1 String 2 String 1 B C A The diagram above shows Carts B and C which roll without friction over an inclined plane. The plane is inclined at an angle of theta = 0 away from vertical, as shown in the diagram. Carts B and C are connected by an essentially massless string. Another massless string runs from Cart B over a massless and frictionless pulley to a hanging block, Block A.Learning Goal: To use equilibrium to calculate the plane state of stress in a rotated coordinate system. In general, the three-dimensional state of stress at a point requires six stress components to be fully described: three normal stresses and three shear stresses (Figure 1). When the external loadings are coplanar, however, the resulting internal stresses can be treated as plane stress and described using a simpler, two-dimensional analysis with just two normal stresses and one shear stress (Figure 2). The third normal stress and two other shear stresses are assumed to be zero. The normal and shear stresses for a state of stress depend on the orientation of the axes. If the stresses are given in one coordinate system (Figure 3), the equivalent stresses in a rotated coordinate system (Figure 4) can be calculated using the equations of static equilibrium. Both sets of stresses describe the same state of stress. The stresses σx′and τx′y′ can be found by considering the free-body…
- Points for stress vs strain (in image) Assume the compressive concrete strength (f’c) is 3,000 lb/in2 (psi)Calculate a cubic function (3rd order polynomial – Ax3+Bx2+Cx+Constant)Use this function to create a function that describes the slope of the cubic function (the derivative of thecubic function). This new function allows you to calculate the tangent to any point along the curve. Thetangent is the modulus of elasticity (E). The concrete code provides a formula to calculate E for concrete. That formula is:E = 57,000√??′, where f’c is in units of psi, and E is in units of psi.Use the derivative function you calculated to locate the point on the curve where the slope of the curvematches E using the concrete code formula. Express that stress point on the curve as a percentage ofthe compressive strength of the concrete. Now, calculate the secant modulus for the test case using 1,500 psi (50% f’c) as the arbitrary point onthe curve.Assume fracture occurs at the last point…= Knowledge Check: String in a Circle Please answer the following question(s): 1. Object of mass m tied at the end of a string of length R whirled around a circle. The tension in the string is T. How much work does T do on the object? V % Work done by T on m is Centripetal force Search 5 16 4- ^ 6 & ♫+ 7 R because, T acts along the radius and is to the velocity (instantaneous displacement) which is along the tangent. do work on the object during circular motion. 0 A 8 fg ।বব O f10 DII fm DDI f12 {1} T backQ4: Create a Visual Basic Project to find the value of the following series: h? h4 h3 cos(h) = h – 2! 3! 4! Write the code program so that the value of angle (h) is entered into inputbox. Estimate the value of series (cos(h)) so that the absolute value of any term is greater or equal to 10-6. Display the required number of terms (N) which it used in this series in a text box and display the result of series (cos(h)) in another separate text box.