Mechanical Engineering Answers

3. Two shafts, having axes in the same plate intersecting at an angle of 45°, turn in opposite senses at 30 rpm and 90 rpm. Draw a pair of cone to be located on these shafts and turn in pure rolling contact. Diameter of base of smaller cone is 1 in. Calculate the cone angles.

Use Laplace transform method to find the solution of linear ordinary differential equation (d ^ 2 * x)/(d * t ^ 2) - 2 * (dx)/(dt) + x = e ^ t epsilon = 2, (dx)/(dt) = - 1 with at t = 0

Forces 32 kN, 24 kN, 24 kN and 120 kN are concurrent at origin and are respectively directed through the points whose coordinates are A (2, 1, 6), B (4 –2, 5), C (–3, –2, 1) and D (5, 1, –2). Determine the magnitude of the resultant and the angles it makes with coordinate axes

P1.1 Perform research on mechatronic systems that are used in vehicles. Identify the type of sensors and/or actuators that are used in the following systems.

a. Air bag

b. Door locks

c. Powered side mirrors

A compound cylinder is formed by shrinking a tube of 200mm outside and 150mm inside diameter on to one of 150mm outside and 100mm inside diameter. Owing to shrinkage the radial stress at the common surface is 20 MN/m². If this cylinder is now subjected to an internal pressure of 100 MN/m², what is the magnitude and position of the maximum hoop stress?

5.) A worker borrowed money on April 20, 1995 and promised to pay 18,000 on march 4, 1996 with 16% interest. Determine the money he has borrowed using exact interest.

8.) P 8500 is borrowed for 70 days at 18% per annum. How much will be due at the end of 70 days? Use exact simple interest.

7.) A certain amount of money triples after 9 years. determine its effective interest.

an oxygen cylinder of volume 2.3 cubic foot has a pressure of 2200 psi gauge and is 21 degrees Celsius. Determine the mass of oxygen in the cylinder

A reheat cycle with two stages of reheating is executed, with steam expanding initially from 90 bar and 530 deg. C. The two reheater pressures are 10 bar and 0.6 bar, and the steam leaves each reheater at 480 deg. C. Condensation occurs at 0.03 bar. For an ideal cycle, find:

a. Q_a and e

b. For the engine, ignore the pressure drop through the reheaters, let the engine operate through the same states, and compute W and e.

c. What is the steam flow rate for an engine output of 20,000 kW?