1. For the truss below show all work to determine the magnitude of external reaction forces and of the internal forces in each of the members. Include a Member Summary Table and a Final FBD that shows all the external forces along with each internal beam force (indicate whether Tension or Compression). Follow the step-by-step procedures outlined in the class handout. (100points)

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Derive the correction factor formula for conical nozzle i=-(1+ cosa) and calculate the nozzle angle correction factor for a nozzle whose divergence hal-fangle is 13 (hint: assume that all the mass flow originates at the apex of the cone.

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.