A wooden rod weighing 5 lb is mounted on a hinge below the free surface. The rod is 10 ft long and uniform in cross section, and the support is 5 ft below the free surface. At what angle α will it come to rest when allowed to drop from a vertical position? The cross section of the rod is 1.5 in2 in area. Assume the center of buoyancy is at the midpoint of the submerged section of the rod due to its symmetric set-up condition.

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.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.

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