stion 1: [18 A thin plate shown in Figure 1 consists of four elements shape, which are a square, right-angled triangle, rectangle, and semi-circle. The square and the right-angled triangle are solid materials. Whereas the rectangle and semi-circle are the cut-outs. If all dimensions in Figure 1 are in meters. Use the table method to calculate the centroid location of the thin plate taking point A as the reference. Importantly, indicate the XA and yA values of each element shape in the table. Y 0.3 0.1 0.1 0.08 0.1 AC X 0.08 0.06 0.13 0.05 Figure 1: Thin plate with all dimensions in meter.​

Ahouse has the following electrical appliance usage (1) single 40w lamp used for 4 hours per day (2) single 60w fan used for 12 hours per day (3) single 200w refrigerator that runs 24 hours per day with compressor run 12 hours and off 12 hours find the solar power inverter size in watt with correction factor of 1.25.

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.

Vibration monitoring this technique uses the noise or vibration created by mechanical equipment and in seme cases by plant systems to detemine their actual condtion. a)- true b)- false