1. For a cantilever beam, the slop of the downward deflection y (m) with a load w (kg/m) can be computed as / =/24(43 − 12 2 + 12 2), where x = distance (m), E = the modulus of elasticity 1.0 ×10^11 Pa, I = moment of inertia 4.0×10^–4 m^4, w = 1.0×10^4 N/m, and L = length = 4.0 m. If y=0 at x=0, use Euler’s method (Δx=0.4 m) to compute the deflection from x=0 to L. List your results in a table and calculate the absolute error for each step (please express y in scientific notation).

Heat is added to a piston-cylinder device filled with 2 kg of air to raise its temperature 400 c from an initial temperature of t1 27 cand pressure of pi 1 mpa. the process is isobaric process. find a)-the final pressure p2 b)-the heat transfer to the air.

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.

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79