A crane is used to lift a crate weighing 1,000 N. The cable that lifts the crate has a radius of 5.64 mm. The initial length of the cable is 30 m when it is subject to the full weight of the crate.
a. When the cable is lifting the full weight, what is the stress in the cable?
b. How much will the cable stretch if it is made from titanium (E = 114 GPa, Yield Stress = 140MPa)?
c. How much will the cable stretch if it is made from nylon (E = 3.75 GPa, Yield Stress = 63.6 MPa)?
d. For each material, what is the minimum cable diameter that can be used to lift the weight before it yields?

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

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