The position of a baseball relative to home plate changes from $\langle 15,8,-3\rangle \mathrm{m}$ to $\langle 20,6,-1\rangle \mathrm{m}$ in 0.1 s. As a vector, write the average velocity of the baseball during this time interval.

A thin polymer plate $P Q R$ is deformed so that corner $Q$ is displaced downward $1.0 \mathrm{~mm}$ to new position $Q^{\prime}$ as shown in Figure P2.11. Determine the shear strain at $Q^{\prime}$ associated with the two edges $(P Q$ and $Q R)$.

A 1.5-kg copper block is given an initial speed of 3.0 m/s on a rough horizontal surface. Because of friction, the block finally comes to rest. What happens to the remaining energy?

The density of the region varies throughout the region.
Find the center of mass and the moment of inertia and radius of gyration about the $y$-axis of a thin plate bounded by the $x$ axis, the lines $x=\pm 1$, and the parabola $y=x^2$ if $\delta(x, y)=$ $7 y+1$.

(a) Why does the federal government usually not create new money to cover a budget deficit? (b) Do you think this is sound reasoning? Explain why or why not?

Yolanda is asked to review a bone slide that her professor has set up under the microscope. She sees concentric layers surrounding a central cavity. Is this bone section taken from the diaphysis or the epiphyseal plate of the specimen?

A transparent coating is deposited on a glass plate and has a refractive index that is larger than that of the glass. For a certain wavelength within the coating, the thickness of the coating is a quarter-wavelength. Does the coating enhance or reduce the reflection of the light corresponding to this wavelength?

Consider fully developed laminar flow of water between stationary parallel plates. The maximum flow speed, plate spacing, and width are 20 ft/s, 0.075 in. and 1.25 in., respectively. Find the kinetic energy coefficient, $\alpha$.

Helium at atmospheric pressure and $30^{\circ} \mathrm{C}$ flows across a square plate at a freestream velocity of $15 \mathrm{~m} / \mathrm{s}$. Determine the boundary layer thickness at a position where $\operatorname{Re}_{\mathrm{x}}=250,000$.

A plate cam must provide the displacement shown to a reciprocating flat-faced follower. The cam must have a base circle of $6.0 \mathrm{in}$. and rotate counterclockwise. Graphically construct the profile and estimate the largest pressure angle.

Find the steady-state temperature distribution in a rectangular plate covering the area $0 < x < 10, 0 < y < 20$, if the two adjacent sides along the axes are held at temperatures T = x and T = y and the other two sides at $0^{\circ}$.

The distance between bases on a baseball diamond (which is really a square) is $90$ feet. How far does a baseball travel when the catcher throws it from home plate to second base (along the diagonal of the diamond)?

A laminar boundary layer growing along a flat plate is sketched in the figure. Several velocity profiles and the boundary layer thickness $\delta(x)$ are also shown. Sketch several streamlines in this flow field. Is the curve representing $\delta(x)$ a streamline?

Which feature is commonly formed at a plate boundary where oceanic crust converges with continental crust?

(1) a mid-oceani ridge

(2) an oceanic trench

(3) a transform fault

(4) new oceanic crust