Rods $A B$ and $B C$have diameters of$4$ mm and $6$ mm, respectively. If the $3$ kN force is applied to the ring at $B$ , determine the angle $\theta$ so that the average normal stress in each rod is equivalent. What is this stress?

A company is making metal rods with a target diameter of 1.5 mm. A rod is acceptable when its diameter is within $10^{-3}$ mm of the target diameter. Write an inequality for the acceptable range of diameters. Write $10^{-3}$ as a fraction and as a decimal.

Stress Test Results For a group of $12$ men subjected to a stress test situation, the average heart rate was $109$ beats per minute. The standard deviation was $4 .$ Find the $99 \%$ confidence interval of the population mean.

Under certain conditions, sound can travel $768$ miles in an hour. Under those conditions, you hear thunder $3.5$ minutes after seeing lightning, and a friend hears the same thunder in two minutes. How close might you and your friend be, in miles?

Find the mass and center of mass of the thin rods with the following density functions. p(x)=

$$\left\{ \begin{array} { c l } { 1 } & { \text { if } 0 \leq x \leq 2 } \\ { 1 + x } & { \text { if } 2 \lt x \leq 4 } \end{array} \right.$$

Two slender rods of negligible weight are pin-connected at $C$ and attached to blocks $A$ and $B$, each of weight $W$. Knowing that $\theta=$ $80^{\circ}$ and that the coefficient of static friction between the blocks and the horizontal surface is $0.30$, Find the largest value of $P$ for which equilibrium is maintained.

Suppose you hear a clap of thunder $16.2 \mathrm{~s}$ after seeing the associated lightning strike. The speed of light in air is $3.00 \times 10^8 \mathrm{~m} / \mathrm{s}$.
(b) Do you need to know the value of the speed of light to answer? Explain.

You are a CPA who has been hired by DEF Company to assist with their initial public offering. Prepare a memo to the president of DEF outlining the two most significant values, market value and par value, associated with stock.

Two solid cylindrical rods support a load of $P=27 \mathrm{kN}$, as shown. Rod (1) has a diameter of $16 \mathrm{~mm}$, and the diameter of rod (2) is $12 \mathrm{~mm}$. Determine the axial normal stress in each rod.

A company is making metal rods with a target diameter of 1.5 mm. A rod is acceptable when its diameter is within $10^{-3}$ mm of the target diameter. Write an inequality for the acceptable range of diameters. What is the problem asking you to determine?

Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod stretches by $0.15 \mathrm{~mm}$ under some stress, how much does the steel rod stretch under the same stress?

Refer to the sample data given below and consider those data to be a random sample of annual lightning deaths from recent years. Use those data with a 0.01 significance level to test the claim that the mean number of annual lightning deaths is less than the mean of 72.6 deaths from the 1980s. If the mean is now lower than in the past, identify one of the several factors that could explain the decline.

$$\begin{array} { c c c c c c c c c } { 19.5 } & { 20.3 } & { 19.6 } & { 20.2 } & { 17.8 } & { 17.9 } & { 19.1 } & { 19.8 } & { 17.6 } & { 16.8 } \end{array}$$

Long cylindrical AISI stainless steel rods $(k=$ $7.74\ \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft}^{\circ}{ }^{\circ} \mathrm{F}$ and $\left.\alpha=0.135 \mathrm{ft}^2 / \mathrm{h}\right)$ of $4$ -in-diameter are heat treated by drawing them at a velocity of $7\ \mathrm{ft} / \mathrm{min}$ through a $21$-ft-long oven maintained at $1700^{\circ} \mathrm{F}$. The heat transfer coefficient in the oven is $20\ \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft}^2,{ }^{\circ} \mathrm{F}$. If the rods enter the oven at $70^{\circ} \mathrm{F}$, find their centerline temperature when they leave.

Three rods are welded together to form the "corner" shown. The corner is supported by three smooth eyebolts. Determine the reactions at $A, B$, and $C$ when $P=1.2 \mathrm{~kN}, a=300 \mathrm{~mm}, b=200 \mathrm{~mm}$, and $c=250 \mathrm{~mm}$.