2. For the three-layer system shown in the figure below with a= 120mm, q= 800Kpa, h1= 200mm, h2 = 100mm, E1 = 3Gpa, E2 = 150Mpa, and E3 = 75Mpa, determine all the stresses and strains at the two interfaces on the axis of symmetry. 30cm 30cm 45cm
400KPa
E= 3.5GPa , ν =0.5

The force on a cutting tool are 2600n vertically downward and 2100 horizontal. determine the resultant force acting on the tool and the angle at which it acts.

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.

The filament of an incandescent lamp has a temperature of 2000k. calculate the fraction of radiation emitted in the visible light band if the filament is approximated as blackbody