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The prismatic beam with the asymmetric section shown below is subjected to a linearly
varying transverse load pz = po [1 - (x/L)], which passes through its shear center. The wall
thickness t is assumed to be small in comparison to the other dimensions.
a) Find the centroid of this cross-section.
b) Find the principal axes y’ and z’ of the cross-section.
Please show all work for both parts and give me actual answers instead of suggestions of what to do next please!
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- Use my ps5 slim for this task 96mm (height)x 358mm (width)x 216mm(depth) Or in inches 14.1 inches high, 8.5 inches deep and 3.8 inches wide. Weight is 7 pounds. Include all units and calculations. ThanksHomework No - 3- 1. Solve the following differentia equations: 1/3 = ex-y dy 9. bi Sin X dx dy dr + 65h (zy)=0 xye³-dy + (x²+1) dx=0 c. ANS. a. ey = ex+c b. Sinhczy) - 2 CSX = < c. e³ (y-1) + ½ x² + 14/x/= c 2 2- Solve the following differential equations: Q. 2 dy dox - y = e² Ni b. X dy +y dx = sinx dx - ANS. a. y = ex (x+C)/2 b. y = CC (SX)/x 3- Solve the following differential equations; a- " + y = =D b- y" + 4y =° ANS- 9- Y=Ge ex + cz b_y=4 (Sinzx + Cz (SZX)Please create a simple ping pong ball launcher where there is a mechanism for the trigger. And Length the ball travels can be adjustable
- Please do one through 3Problem 3: Insulation To=1 Toowwww Steam Tx2 T₂ T3 www www R₁ R₁ R₂ www.T R₂ Steam at T1 = 320 °C flows in a cast iron pipe (k= 80 W/m. °C) whose inner and outer diameters are 5 cm = 0.05 m and D₂ = 5.5 cm = 0.055 m, respectively. The pipe is covered with 3-cm-thick glass wool insulation with k = 0.05 W/m. °C. Heat is lost to surroundings at T2 = 5 °C by natural convection and radiation, with a combined heat transfer coefficient of h₂ = 18 W/m². °C. Taking the heat transfer coefficient inside the pipe to be h₁ = 60 W/m². °C, determine the temperature drops across the pipe and the insulation. The determination is based on a unit length of the pipe (L = 1 m). Assumptions 1. Heat transfer is one-dimensional since there is no indication of any change with time. 2. Heat transfer is one-dimensional since there is thermal symmetry about the centreline and no variation in the axial direction. 3. Thermal conductivities are constant. 4. The thermal contact resistant at the interface is…3) If two forces of 10,000 N are continuously rotating 1,000,000 shafts, the ball bearings and shaft thickness must be selected. The system should be drawn in 3D and proven to work safely. Please note that you must determine the dimensions of the system and the shaft material and code yourself. This question should only be answered if you are between 61 and 90 in the student list (#61-90). F Bearing ☑ ☑ ☑ ☑ Shaft F