AB has an outside diameter of 250mm and BC has an outside diameter of 150mm. Both pipes have a wall thickness of 8mm. If the temperature increases by 40° C, find the force in each pipe and the displacement of point B. Esteel= 200GPa, Ecopper = 120GPa, αsteel= 11.7x10-6/ ° C, αcopper = 16.9x10-6/ ° C.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?