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?

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.

An air conditioning system consist of a 5 cm diameter pipe, operating at a pressure of 200 kpa. the air initially enters the pipe at 15°c with a velocity of 20 m/s and relative humidity of 80%. if the heat supply throughout the process is 960 w, determine the relative humidity and the temperature at the outlet

Which of the following refers to refers to how well the control system responds to sudden changes in the system. a)-transient regulation b)- distributed regulation c)-constant regulation d)-steady-state regulation