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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.

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

An ideal vapour-compression heat pump cycle provides a heating rate of 12btu/s. the working fluid, refrigerant 134a, enters the compressor as a saturated vapor at 40 psi and exits the condenser as a saturated liquid at 160 psi. determine (a) the mass flow rate of the working fluid in lb/min (b) the compressor power in btu/min. (c) the coefficient of performance.