Mechanical Engineering Questions and Answers March 02, 2023

Valves are among the most important components controlling a cars engine. They regulate both the intake of air for the combustion process and the discharge of the exhaust gases generated in the combustion chamber. Exhaust valves, run much hotter than intake valves (which are cooled by the incoming fuel: air mixture) and must withstand the

Temperature C 1000 900 800 700 600 500 400 912C 300 0 Magnetic Trans. A770C (aFe) 0.10 (yFe) Fe 10 2 2.8 650C Atomic Percent Nitrogen 4.5 6.7 592C 5.7,680C Fe N 480C Magnetic Transformation 5.7 20 6 508C 8 W FeN Phase Diagram 30 FeN Weight Percent Nitrogen 10 12 40 14

. Consider the ODE y(x) xy(x) y (x) aebx cx find the general solution of the ODE. ) Find the exact solution for a1 the last number of your student ID, bal, c b4 ) Solve the ODE with the boundary conditions y (0) 1.1, y (1) 0. d) Drow a graph that represents the solution given in c) at 0,1. e) Calculote the values of the solution given in

Given the world coordinates for an RR R robot similar to Figure 1 shown below, a120 and the links have values Lo25mm, L350mm, L2250mm, L350mm and also given the joint angles as 030 and 0230. 0,0 0 L 3 L Ja 8 a Figure 1 RAR Robot manipulator,2.1.1. Determine the forward kinematics (x and z coordinates of the end effector). (6) 2.1.2. Sketch an

A simplified model of the wheels-body-seat system of a vehicle in Fig. shown. a) Obtain the differential equations for the small amplitude vibrations of the system. b) Determine the mass and stiffness matrices of the system. c) Using the given numerical values, the natural frequencies and mode shapes of the system and find it. Print out the

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An irrotational region of two-dimensional flow is formed by superimposing a source of strength m 1 = 2.00 m 2 /s at (x,y) = (0, 1), a sink of strength m 2 = 1.00 m 2 /s at (x,y) = (1, 1), and a vortex of strength = 1.50 m 2 /s at (x,y) = (1,1), where all spatial coordinates are in meters. Calculate the fluid velocity at the point (x,y) = (1,0).

A stepper motor has a step angle of 2.25 degrees. Calculate the number of steps for the shaft to make 45 revolutions. A DC motor is connected to a source of 200 V, and its armature resistance is 1 generates 25 V when running at a speed of 500 rpm. Ohm. The armature 2023/05 Calculate: i) The starting current ii) The back e.m.f. when the motor runs

The differential equation dz P(x)y f(x)y. where n is any real number, is called a Bernoulli equation. The following steps will outline how to solve the Bernoulli equation (b) We will now use the substitution up dependent variable u. First, find dr yyy, z0 (a) Rewrite the equation to match the general form outlined above. Find P(z), f(z), and n.

A wooden frame is in equilibrium with the support A and three external forces, where the concentrated force F 100 N, and the density of the distributed force is W 150 Nm. the direction angles are given as a 25 and 30. Neglect the thickness of the members. a. Draw the Freebody Diagram of the frame and identify ALL unknown forces. 8 marks b.

Derive an expression for the Young's modulus of a hierarchical open-cell foam, in which the cell walls are themselves foamed. Compare the Young's modulus of the hierarchical foam with that of an equivalent density simple foam with uniform cell walls. Please express your answer in terms of C, the overall hierarchical foam density a, s, and Es.

The rectangular beam, with cross-sectional width b, height h, Young's modulus Erect, has the same flexural rigidity as a circular beam with the same cross-sectional area. What aspect ratio of the rectangular beam, h/b, will result in the same Young's modulus for the rectangular and circular beam ?

Show that. (2)()(21). Can you provide an interpretation of this equality