Three masses are suspended vertically by a series of identical springs where mass #1 is at the top and mass #3 is at the bottom. If gg = 9.81 m/s2, mm1 = 2 km, mm2 = 3 kg, mm3 = 2.5 kg, and the spring coefficients, kk’ss = 10 kg/s2, solve for the displacements of each spring, xx1, xx2, and xx3. Use the program that you developed in problem #1 to solve for the displacements and compare to MATLAB’s backlash solver

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

Ifa component is made of two or more materials with different modulus of elasticity (e), it is called a composite member and we calculate the factor·n". mention the formula for calculating n". also, ifn> 1, explain what will happen to the 1. transformed. gi) ifn 1, what will happen to the material when transformed material when