Two polynomials in the variable x are represented by the coefficient vectors p1 = [6,2,7,-3] and p2 = [10,-5,8].
a. Use MuPAD to find the product of these two polynomials; express the product in its simplest form.
b. Use MuPAD to find the numeric value of the product if x = 2.
In: Mechanical Engineering
A tank having vertical sides and a bottom area of 100 ft2 is used to store water. To fill the tank, water is pumped into the top at the rate given in the following table. Use Simulink to solve for and plot the water height h(t) for 0 ≤ t ≤10 min.
In: Mechanical Engineering
define ergonomics as used in engineering design and also give some elements considered in ergonomics
In: Mechanical Engineering
give four examples of surface finish processes as used in machining. give also a short explanation of each.
In: Mechanical Engineering
Use a random number generator to produce 1000 normally distributed numbers with a mean of 20 and a variance of 4. Obtain the mean, variance, and histogram of these numbers, and discuss whether they appear normally distributed with the desired mean and variance.
In: Mechanical Engineering
The following data give the stopping distance d as a function of initial speed υ, for a certain car model. Find a quadratic polynomial that fits the data. Determine the quality of the curve t by computing J, S, and r2.
In: Mechanical Engineering
Suppose that z = xy, where x and y are independent and normally distributed random variables. The mean and variance of x are µx = 10 and σ2x = 2. The mean and variance of y are µy = 15 and σ2y = 3. Find the mean and variance of z by simulation. Does µz = µxµy? Does σ2z = σ2x σ2y? Do this for 100, 1000, and 5000 trials.
In: Mechanical Engineering
Suppose that y = x2, where x is a normally distributed random variable with a mean and variance of µx = 0 and σ2x = 4. Find the mean and variance of y by simulation. Does µy = µ2x? Does σy = σ2x? Do this for 100, 1000, and 5000 trials.
In: Mechanical Engineering
Measurements of a number of fittings show that the pitch diameter of the thread is normally distributed with a mean of 8.007 mm and a standard deviation of 0.005 mm. The design specifications require that the pitch diameter be 8 ± 0.01 mm. Estimate the percentage of fittings that will be within tolerance.
In: Mechanical Engineering
Data analysis of the breaking strength of a certain fabric shows that it is normally distributed with a mean of 300 lb and a variance of 9.
a. Estimate the percentage of fabric samples that will have a breaking strength no less than 294 lb.
b. Estimate the percentage of fabric samples that will have a breaking strength no less than 297 lb and no greater than 303 lb.
In: Mechanical Engineering
Use the switch structure to write a MATLAB program to compute the amount of money that accumulates in a savings account in one year. The program should accept the following input: the initial amount of money deposited in the account; the frequency of interest compounding (monthly, quarterly, semiannually, or annually); and the interest rate. Run your program for a $1000 initial deposit for each case; use a 5 percent interest rate. Compare the amounts of money that accumulate for each case.
In: Mechanical Engineering
A liquid (ρ = 1000 kg/m3; μ = 2 × 10–2 N ∙ s/m2; v = 2 × 10–5 m2/s) flows tangentially past a flat plate with total length of 4 m (parallel to the flow direction), a velocity of 1 m/s, and a width of 1.5 m. What is the skin friction drag (shear force) on one side of the plate?
In: Mechanical Engineering
what is a critical path in project planning? give a brief explanation on how to draw the critical path diagram
In: Mechanical Engineering
Consider steam in an ideal Rankine cycle. The saturated vapor enters the turbine at 8.0 MPa. Saturated liquid exits the condenser at P = 0.008 MPa. The net power output of the cycle is 100 MW.
determine the thermal efficiency of the cycle
In: Mechanical Engineering
A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1200 kPa. The working fluid is air, which enters the compressor at 300K at a rate of 150 m3/min and leaves the turbine at 773K. Using variable specific heats for air and assuming a compressor isentropic efficiency of 82 percent and a turbine isentropic efficiency of 88 percent, determine:
(a) the net power output
(b) the back work ratio
(c) the thermal efficiency
In: Mechanical Engineering