The beam is subjected to the two forces shown. express each force in cartesian vector form and determine the magnitude and coordinate direction angles of the resultant force.

Water flows at the rate of 200 i/s upwards through a tapered vertical pipe. the diameter at marks(3) clo5) the bottom is 240 mm and at the top 200 mm and the length is 5m. the pressure at the bottom is 8 bar, and the pressure at the topside is 7.3 bar. determine the head loss through the pipe. express it as a function of exit velocity head.

Aspring-mass system consists of a mass weighing 20 kg and a spring with stiffness of 1000 n/m. the mass is subjected to resonance by a harmonic force f(t) 20 cos wt n. the initial condition is given as the initial position 0 and the initial velocity 0. find the amplitude of the forced motion at the end of (a) 1.5 cycle and (b) 2.25 cycles

Thermosetting polymers are polymers that becomes soft and pliable when heated. ( true , false )