As seen , collar $D$ is released from rest and slides without friction downward a distance of $h=300 \mathrm{~mm}$ where it strikes a head fixed to the end of compound rod $A B C$. Rod segment (1) is made of aluminum $\left[E_1=70 \mathrm{GPa}\right.$, and it has a length of $L_1=800 \mathrm{~mm}$ and a diameter of $d_1=12 \mathrm{~mm}$. Rod segment (2) is made of bronze [ $\left.E_2=105 \mathrm{GPa}\right]$, and it has a length of $L_2=1,300 \mathrm{~mm}$ and a diameter of $d_2=16 \mathrm{~mm}$. What is the allowable mass for collar $D$ if the maximum normal stress in the aluminum rod segment must be limited to $200 \mathrm{MPa}$ ?

Find the probability $P(1 \leq Z \leq 2)$ for a standard normal random variable Z.

Define conversion feature; a call feature. What are stock purchase warrants?

Using

$$f ( x ) = \cos x \text { or } f ( x ) = \sin x$$

as a guide, graph the function. Identify the period and asymptotes. j(x) = -2 csc x

The SI unit of electric potential difference is the (a) joule, (b) newton per coulomb, (c) newton-meter, (d) joule per coulomb.

Complete each conversion. $\frac{3}{4}$ year=$\square$ weeks

Define the random variable of interest: X = number of _____. Is X binomial? Geometric? Justify your answer.

For this exercise, state the reason why we label the mean of a random variable X as $\mu_X$?

Write the numbers in given of the following sentences as decimals.
a. A flea has a body length about one sixteenth of an inch.
b. Venus orbits the sun about once every 224 and $\frac {7006} {10,000}$ days.

One $3.2-\mathrm{kg}$ paint bucket is hanging by a massless cord from another 3.2-kg paint bucket, also hanging by a massless cord, as shown in Fig. 4-41. If the buckets are at rest, what is the tension in each cord?

Two cannonballs, A and B, are fired from the ground with identical initial speeds, but with $\theta_{\mathrm{A}}$ larger than $\theta_{\mathrm{B}}$. Which cannonball reaches a higher elevation?

Match each phrase below with the correct term from the Study Guide.

A new solar system body classification

The Cobalt $({}_{27}^{57}\mathrm{Co})$ emits 122-keV gamma rays. If a 70-kg person swallowed 2.0 $\mu$Ci of ${}_{27}^{57}\mathrm{Co}$, what would be the dose rate (rad/day) averaged over the whole body? Assume that $50$ percent of the $\gamma$-ray energy is deposited in the body. $\it{[Hint:}$ Determine the rate of energy deposited in the body and use the definition of the rad.$]$

Anton van Leeuwenhoek, a $17^{\text {th }}$-century pioneer in the use of the microscope, described the microorganisms he saw as "animalcules" whose length was " 25 thousandths of an inch." How long were the animalcules in meters?