With usual notations for different parameters involved, the maximum fluctuation of energy for a flywheel is given by (@) 2 EC (c)2 EC (b) EC,/2 (d) 2EC
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- 1- The thrust (P l ) of a propeller depends upon diameter (D); speed (u) through a fluid density (p); revolution per minute (N); and dynamic viscosity (u) Show that: P = (p D² u²) f P Du [; where fis any function.Ql: The viscosity in industrial measurement continue to use the CGS system of Lunits, since centimeters and grams vield convenient numbers for many fluids. The absolute viscosity () unit is the poise, I poise = 1 gtem. s). The kinematic viscosity (v) unit is the stohes, I stokes = 1 em /s. Water at 20C has u = 001 poise and also V= 0.01 stokes. Express these resalts in (a) SI and (h) BG tanits.fet), force force, f 10 Newt. m2 f k, 10sec m, = 10 kg, ma= 20 kg , b= 20 Newton m/sec k, = 30 Newton kz = 60 Newton z, and z are measured with respeet to eguilibrium conditions and all imitial conditions are zero, 1) Write the Newton's second Lau for m, amd m2 2) Derive a statespace represrentation of the conditions : eystem fallowing 2a) only z, is measured 26) only z, is measured 2c) (2,-z,) is measured. un der 3) Derive the following transfor fumetione fG) z,(5) Go G,6) ? G6) ? 4) Describe a mechanical device that can be used to implement the external force fee) as shoun'a bove. 5) Using (Csim) function of MATLAB, plot z,(t), 2, (t)- =, (+)] Zz (t) and
- Use the following TTT Diagram for the following questions: 800 A 1400 -Eutectoid temperature 700 1200 600 1000 500 800 400 600 300 Mistart) 200 50% 400 M+A M(50%) M(90%) 100 200 10-1 10 102 103 10 105 Time (s) Temperature ("C) Termperature (°F)I just need help simplifying these equations (1 and 2). Qo,Kic, and CL are all their own variables (not 2 multiplied ie. Q*o, k*i*c and not C*L)The stress profile shown below is applied to six different biological materials: Log Time (s] The mechanical behavior of each of the materials can be modeled as a Voigt body. In response to o,= 20 Pa applied to each of the six materials, the following responses are obtained: 2 of Maferial 6 Material 5 0.12 0.10 Material 4 0.08 Material 3 0.06 0.04 Material 2 0.02 Material 1 (a) Which of the materials has the highest Young's Modulus (E)? Why? Log Time (s) (b) Using strain value of 0.06, estimate the coefficient of viscosity (n) for Material 6. Stress (kPa) Strain
- R(A)sin30 R(B)sin45 R(A) 400lb R(B) DN 45 R(B)cos45' 43 30 A 60 R(A)cos30 B Determine the value of Rb #Ym max please simplify this equestion: [V z t Eq 12 E₂h. E₂ KbAT (2₁-d₂ ) ( h, the 2 (E₂h + E₂ k) BY + [(1 ² + 2) +- 17) (26) -K) bh. bh³ v ļ S + nbk³ 12 paty) ppl 8 D 10943 + ¥(pl + niger) N my t - 2 k√) (nbk]] ppt होप) g at & pet -17 (PMParts for each product Homework 1 n produce dryer plant Can for each product castiens Then each product is assembled in its dedicated washing and dryer A machines. Difterent are manufactured by press and motor ly sechon. The the monthly capacity of different sections are: washing machine or looo dryer machine Press section: 100 - Motor section: 1600 washing machine or 7o00 drjer machine machine assembly line: goo0 machine washing druer machine assembly line: 5000 machine washing 1, profit for each unct of washing and dryer machines is 270 and 300 respectively. Formulate a linear programming problem for Find ing how many washing and dryer machines should be produced many washing to maximize total plant's profit. 2.A A Post Company need to transfer 30000 boxes with two each truck presented of olifferent trucks. Chavactenistics problem for The table below. Formulate a linear programming each truck to optimum nunber of minimIze total Cost.
- E VIII Radius 1, 2, 3, 4 = 0.18 m. (Same radius) Angle between 2 & 3 = 03 Angle between 2 & 4 = 04 Angle between 2 & 1 = 01 Plane Rogulta A C D Mass (Kg) ma 30 50 Radius (r) 0.18 0.18 0.18 0.18 Angle 0 0 90 120 40 Find (ma). Using analytical method 210 Distance from Weight (L) - y 0 0.3 Xa) Sydney tap-water has a fluid electrical conductivity (EC or σ) of approximately 210μS/cm. Express this in terms of Ohm metres (resistivity) and mS/m (conductivity). b) The fluid electrical conductivity (EC) was measured on a water sample first at 25 °C to 305 μS/cm, then later at 20 °C to 272 μS/cm. Assuming a linear relationship, calculate the EC at 10 and 30 °C. c) A 20 cm long cylinder with 10 cm diameter is filled with an undisturbed fully saturated sandstone core. A current (I) of 100 mA was passed through the cylinder and a voltage(V) of 10,700 V was measured. Calculate the resistance and the resistivity of the sample. d) If we further know that the porosity is 1%, can you estimate the fluid electrical conductivity?Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is…