a boy who has a mass of 65 kg is attempting to rescue a girl climbing up a rope at constant velocity. The maximum force that the rope can bare is 2kN. Use gravitational acceleration as 9.81 ms-2. Find through calculations if the rope can support the boy to go up. Show all your work to justify your conclusion. Find whether the boy can climb down together with the girl who has a mass of 60 kg. Show all your work to justify your conclusion.

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 thermal expansion or contraction of a given metal is a function of the f a)-density b)-initial temperature c)- temperature difference d)- linear coefficient of thermal expansion e)- final temperature f)- original length

Burgers vector is generally parallel to the dislocation line. a)-true b)-false