i have to write a survey paper on the history of a dynamics related concept, tool, application, or mechanism. i am struggling to find good topics. please help me by suggesting some topics

Consider a machine that has a natural process time of 1 minute (deterministic) when it works but is subject to failures with MTTF=100 minutes and MTTR=10 minutes. Assume c_r=1. This machine receives parts every 1.5 minutes from the previous process (deterministic).

a. What is the availability of this machine?

b. What is the average effective process time, t_e, for this machine?

c. What is the squared coefficient of variation of the process time, c_e²?

d. How long does the average part wait in queue in front of this machine before being served?

Suppose you are observing parts come out of this machine.

e. What is the average rate with which parts depart this machine and arrive to the next machine?

f. What is the squared coefficient of variation of inter-departure times from this machine?

Explain what are the properties (that is, relating to its velocity vs temperature) of a SAE 5W/30 oil

List 5 Suitable applications of Lubricating Greases in Mechanical Engineering?

Water flowing at a rate of 0.667 kg/s (Cp = 4.192 kJ/kg. K) enters a counter current heat exchanger at 318 K and is heated by an oil stream entering at 393 K at a rate of 2.85 kg/s (Cp=1.89 kJ/kg. K). The overall U=290 W/m2. K and the area A=20 m2. Calculate the heat transfer rate and the exit water temperature.

information about the metal additive manufacturing process and defects and parameters

I want an example that explains and calculate the kinetics rocket based on FBD by idealizing the NASA space shuttle to a particle which has curvilinear motion. Assume the Earth is flat and state all other assumptions

Plot longitudinal tensile strength of an E-glass/epoxy unidirectionally reinforced composite as a function of volume fraction of fiber and assuming tensile strength follows a volume rule of additivity.

E-glass: modulus = 72.4 GPa, tensile break strength = 2.4 GPa, break strain = 2.6%

epoxy: modulus = 3.5 GPa, tensile break strength = 45 MPa, break strain = 1.28%

What type of directional valve is used to control the forward and reverse of a double-acting hydraulic piston?
a) 3 way/ 2 position
b) 4 way/ 2 position
c) 4 way/ 3 position

and why?

1. An aluminum circular cylinder 50 mm in diameter with ends insulated is initially at 100◦C. Approximate the temperature at the center of the cylinder after 2 s if the lateral surface is kept at 0◦C.For aluminum, k = 8.6 × 10−5m² /s.

2. A circular cylinder 1 m in radius is completely insulated and has an initial temperature distribution 100r ◦C. Find an expression for the temperature as a function of r and t. Write integral expressions for at least three coefficients in the series expansion.

In one batch of nickel (Ni)-plated cast iron components, you observed that there were minute pores in the Ni surface coating growing down to the cast iron surface.Should you allow this batch of nickel (Ni)-plated cast iron components be used for a water treatment application? Will the component be susceptible to corrosion and what form of corrosion could occur?

Aquaplaning(General Question)

What is happening physically when a pontoon of a floatplane begins to aquaplane. Like are forces from water on the floats less because its not fully submerged anymore?

The Lockheed SR-71 Blackbird aircraft cruises at Mach number of 3.3 at an altitude of 85,000 ft. Calculate the speed of sound and flight speed at these conditions. Compare the flight speed to the muzzle speed of a 30-06 rifle bullet (700 m/s).