The curing process of the mentioned example involves exposure of the plate to irradiation from an infrared lamp and attendant cooling by convection and radiation exchange with the surroundings. Alternatively, in lieu of the lamp, heating may be achieved by inserting the plate in an oven whose walls (the surroundings) are maintained at an elevated temperature. Consider conditions for which the oven walls are at $200^{\circ} \mathrm{C}$, airflow over the plate is characterized by $T_{\mathrm{x}}=20^{\circ} \mathrm{C}$ and $h=15 \mathrm{~W} / \mathrm{m}^2 \cdot \mathrm{K}$, and the coating has an emissivity of $\varepsilon=0.5$. What is the temperature of the coating?

Two plates are separated by a 1/8-in. space. The lower plate is stationary; the upper plate moves at a velocity of 25 ft/s. Oil (SAE 10W-30, $150^{\circ}F$), which fills the space between the plates, has the same velocity as the plates at the surface of contact. The variation in velocity of the oil is linear. What is the shear stress in the oil?

Suppose that the horizontal plate is initially stationary, and at $t=0$ the robotic manipulator exerts a couple $\mathrm{C}$ on the plate at the fixed point $O$ such that the plate's angular acceleration at that instant is $\alpha=150 \mathrm{l}+320 \mathrm{j}+25 \mathrm{k}\left(\mathrm{rad} / \mathrm{s}^2\right)$. Determine $\mathbf{C}$.

For each question, write on a separate sheet of paper the letter of the correct answer.

How does volcanic activity contribute to plate margins where new crust is being formed?

A. Where plates collide at subduction zones, rocks melt and form pockets of magma.

B. Between plate boundaries, hot spots may form a chain of volcanic islands.

c. When plates pull apart at oceanic ridges, magma creates new ocean floor.

D. At some boundaries, new crust is formed when one plate is forced on top another.

Set up the boundary-value problem for the steady-state temperature u(x, y). A semi-infinite plate coincides with the region defined by $0 \leq x \leq \pi, y \geq 0$. The left end is held at temperature $e^{-y}$, and the right end is held at temperature $100^{\circ}$ for $0<y \leq 1$ and temperature zero for $y>1$. The bottom of the plate is held at temperature f (x).

Volcanism at divergent plate boundaries is most often associated with which rock type? What causes rocks to melt in these settings?

A parallel-plate capacitor is connected to a power supply that maintains a fixed potential difference between the plates. (a) If a sheet of dielectric is then slid between the plates, what happens to (i) the electric field between the plates, (ii) the magnitude of charge on each plate, and (iii) the energy stored in the capacitor? (b) Now suppose that before the dielectric is inserted, the charged capacitor is disconnected from the power supply. In this case, what happens to (i) the electric field between the plates, (ii) the magnitude of charge on each plate, and (iii) the energy stored in the capacitor? Explain any differences between the two situations.

Describe the difference between a divergent and a convergent plate boundary. Name the geologic features found near each type of boundary.

A 60.0-pF vacuum capacitor has a plate area of $0.010 \mathrm { m } ^ { 2 }$. What is the separation between its plates?

A heated 6-mm-thick Pyroceram plate $(\rho=$ $2600 \mathrm{~kg} / \mathrm{m}^3, c_p=808 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}, k=3.98 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$, and $\alpha=$ $\left.1.89 \times 10^{-6} \mathrm{~m}^2 / \mathrm{s}\right)$ is being cooled in a room with air temperature of $25^{\circ} \mathrm{C}$ and convection heat transfer coefficient of $13.3 \mathrm{~W} / \mathrm{m}^2 \cdot \mathrm{K}$. The heated Pyroceram plate had an initial temperature of $500^{\circ} \mathrm{C}$, and is allowed to cool for $286$ seconds. If the mass of the Pyroceram plate is $10 \mathrm{~kg}$, find the heat transfer from the Pyroceram plate during the cooling process using (a) the earlier table and (b) the given figure.

A hot brass plate is having its upper surface cooled by impinging jet of air at temperature of $15^\circ C$ and convection heat transfer coefficient of $220 W/m^2 \cdot K.$ The 10-cm-thick brass plate $(\rho = 8530 kg/m^3, c_p = 380 J/kg \cdot K, k= 110 W/m \cdot K.$ and $\alpha = 33.9 \times 10^{-6} m^2/s)$ had a uniform initial temperature of $650^\circ C,$ and the lower surface of the plate is insulated. Using a uniform nodal spacing of $\Delta x=2.5 \mathrm{cm}$ and time step of $\Delta t=10 \mathrm{s}$ determine (a) the implicit finite difference equations and (b) the nodal temperatures of the brass plate after 10 seconds of cooling.

Assuming that hot spots remain fixed, in what direction was the Pacific plate moving while the Hawaiian islands were forming?

Find the approximate side length of each square figure to the nearest whole unit. a plate that is $49 \mathrm{cm}^{2}$

The homogeneous thin plate is of uniform thickness and weighs $20 \mathrm{lb}$. Determine its moment of inertia about the $y$ axis.