## . For optimum road holding a ‘hard’ suspension is desirable and it is believed that to achieve this the damping should be critical.

During the design of a car, part of the suspension system is tested by subjecting it to violent displacements. One such test is modelled by the differential equation

where x is displacement, and initially x = 0 and x = 0. The parameter k ( > 0) is known as the damping coefficient and can be varied during the tests. For optimum road holding a ‘hard’ suspension is desirable and it is believed that to achieve this the damping should be critical.
i) Find the value of k for critical damping.
ii) Determine x as a function of time t in this case. For a more comfortable ride a ‘soft’ suspension is proposed in which k = 0.6.
iii) Determine x as a function of time t for the ‘soft’ suspension.
iv) Find the maximum displacement of the ‘soft’ suspension.

### In Problem 5.13.1, what throughputs can be achieved when pumping gasoline alone?

In Problem 5.13.1, what throughputs can be achieved when pumping gasoline alone? Use a specific gravity of 0.74 and viscosity of 0.65 for gasoline at the flowing temperature. Compare the….

### A pipeline 150 miles long from Beaumont pump station to a tank farm at Glendale is used to transport Alaskan North Slope crude oil (ANS crude).

A pipeline 150 miles long from Beaumont pump station to a tank farm at Glendale is used to transport Alaskan North Slope crude oil (ANS crude). The pipe is 20….

### The pipeline described in Problem 6.7.1 is used to batch ANS crude along with a light crude (0.85 specific gravity and 15 cSt viscosity at 60°F). Determine the optimum batch sizes to reduce pumping costs based on a 30 day operation. Consider a flow rate of 6000 bbl/hr.

The pipeline described in Problem 6.7.1 is used to batch ANS crude along with a light crude (0.85 specific gravity and 15 cSt viscosity at 60°F). Determine the optimum batch….