If the ${W} 310 \times 24$ beam is made from steel having an allowable normal stress of $\sigma_{\text {allow }}=150 {MPa}$ and an allowable shear stress of $\tau_{\text {allow }}=60 {MPa}$, determine the maximum cable force $P$ that can safely be supported by the beam.

Express the diameter of the fibers in scientific notation.

Orb web spider

Rank primary, secondary, tertiary, and allylic radicals in order of decreasing stability. Do the same for the corresponding carbocations. Do the results indicate something about the relative ability of hyperconjugation and resonance to stabilize radical and cationic centers?

An elevator cable that is light in weight compared to the elevator car can support a weight of 10,000 N. If the elevator and occupants weigh 8000 N, what is the maximum possible vertical acceleration of the elevator?

A line segment has endpoints at A(-2,4) and B(-4,2). Write an equation in slope-intercept form for a line that bisects this segment that is parallel to the line $y=-2 x+5$

The control lever is subjected to a horizontal force of $20 {lb}$ on the handle. Determine the state of stress at points $E$ and $F$. Sketch the results on differential elements located at each of these points. The assembly is pin connected at $C$ and attached to a cable at $D$.

In the lobby of the Natural World Science Center, a long pendulum is suspended from the ceiling. The pendulum cable is 20 meters long, and the heavy bob swings through an arc of $15^{\circ}$. The time $t$, in seconds, for one complete swing (back and forth) is given by the formula $t=2 \pi \sqrt{\frac{l}{9.8}}$, where $l$ is the cable length in meters. a. What is the average speed of the pendulum bob in meters per second? Explain the method you used to find the answer. b. How many kilometers does the bob travel in one year? Explain the method you used to find the answer.

The upper portion of the crane boom consists of the jib $A B$, which is supported by the pin at $A$, the guy line $B C$, and the backstay $C D$, each cable being separately attached to the mast at $C$. If the $5-{kN}$ load is supported by the hoist line, which passes over the pulley at $B$, determine the magnitude of the resultant force the pin exerts on the jib at $A$ for equilibrium, the tension in the guy line $B C$, and the tension $T$ in the hoist line. Neglect the weight of the jib. The pulley at $B$ has a radius of $0.1 {m}$.

A typical cable-stayed bridge is a continuous girder with one or more towers erected above plers in the middle of the span. From these towers, cables stretch down diagonally (usually to both sides) and support the girder. Tension and compression are calculated into the design of this type of suspension bridge.

One cable is 95 feet. The span on the deck of the bridge from that cable to the girder is 80 feet. Calculate the angle formed by the deck and the cable.

It is desired to insulate an attic floor to an $R$-value of $3 \mathrm{~m}^2 \mathrm{~K} \mathrm{~W}^{-1}$. If rock wool is used, how thick must it be?

In which location would you find plants that grow year round?

Find the lateral surface area of the can of mandarin oranges.

John has a balance of 3000 dollars on his Discover card that charges 1% interest per month on any unpaid balance from the previous month. John pays 100 dollars toward the balance each month. The payment is made at the time the interest is charged. His balance each month after making a 100 dollars payment is given by the recursively defined sequence

$$B_0=\$ 3000, \quad B_n=1.01 B_{n-1}-100$$

Determine John's balance after making the first payment. That is, determine $B_1$.

Read the following paragraph. Identify each misspelled medical word and write the correct spelling of it on the line.

Gastrointerology is the study of the digestive organs. Food moves into the pharinxy from the mouth and then down the esophogus. You won't develop diverticulee or hemorroids if you eat a high-fiber diet, but cholelithasis could still be a problem. If the lumin of your bowel is filled with polips, then you may need to have surgery. A rectoseel can affect the vagina in women. If you do not eat enough protein, the albumen level in your blood will be low.