Questions asked
Problem 4 - Quantitative Analysis (30 points) The 80-mm diameter shaft is made of steel. If it is subjected to a torque (30kN.m) at location D and the triangular distributed torque on AB (illustrated below). (a) Determine the maximum shear stress in the shaft. (b) Determine the angle of twist of end A with respect to C. Take G = 75 GPa. $T_{max}$ c=.04 $\phi_{BA} = \int_{0}^{L} \frac{50}{75 \times 10^9 \pi (.04)^4 x} dx$ $\frac{9947 \times 10^3 x^2}{2.75 \times 10^9} |_0^L$ 300 mm 300 mm 600 mm C D 30 kN.m B 30 kN·m/m 30 kN·m/m A $\frac{T}{J} = \frac{30}{.6} = 50$
4. Polymers are large molecules composed of simple units repeated many times, Thus, they often have relatively simple empirical formulas. Calculate the empirical formulas of Lucite (Plexiglas); 59.9\% C, 8.06\% H, 32.0\% O,
Find and classify all the stationary points of $f(x, y) = y^3 + 3x^2y - 6x^2 - 6y^2$. Use the method of Lagrange multipliers to find the minimum and maximum values, if any, of $f(x, y, z) = xyz$ subject to $x^2 + y^2 + z^2 = (R + 3)^2$.
16. Refer to the table below to answer the question that follows: \begin{tabular}{|l|l|} \hline Category & Amount \\ \hline Depreciation & 10 \\ \hline Government expenditure on goods and services & 30 \\ \hline Net taxes & 30 \\ \hline Net private domestic investment & 10 \\ \hline Imports of goods and services & 10 \\ \hline Exports of goods and services & 20 \\ \hline \end{tabular} The value of private saving is: A. -R15 million B. R40 million C. R25 million D. R20 million E. R30 million
In social bonding theory, delinquency is controlled by beliefs that specific delinquent acts are wrong rather than by general law-abiding beliefs held by adolescents. True False
The opportunity cost of a good: Group of answer choices has no effect on your decision to consume it. generally increases the more you consume. generally decreases the more you consume. is exactly the price of the good.
Identify the absolute configuration of the centers of chirality in each of the following compounds as R or S. If two centers of chirality are present, indicate the configurations as: RR, SS, RS, or SR. OH OH CH$_3$ CH$_3$ OH R S RR SS RS SR Submit Answer Re SS e Group SR RS 9 more group attempts remaining The steps are: 1. Prioritize 2. Orient the lowest priority group "away". 3. Do the remaining priorities decrease clockwise of counter-clockwise?
17 Explain why you can scrape your skin but not bleed.
A very long insulating cylinder with radius $R_{cylinder}$ has nonuniform positive charge density $\rho = (1 - r/R_{cylinder})\rho_0$, where $\rho_0$ is constant and r is measured radially from the axis of the cylinder. A particle with charge $-Q$ and mass $M$ orbits the cylinder at a constant distance $R_{orbit} > R_{cylinder}$. (a) What is the linear charge density $\lambda$ of the tube, in terms of $R_{cylinder}$ and $\rho_0$? (b) Determine the period of the motion in terms of $R_{orbit}$. (Hint: Use Gauss's law to determine the electric field, and therefore the electric force felt by the particle, that acts centripetally.)
60 m/s at 30 degrees and the constant acceleration is 10 m/s^2 at 40 degrees, what is the final velocity after 10 seconds with this acceleration? (b) What is the displacement after 10 seconds?
