An offset $h$ must be introduced into a metal tube of $18-\mathrm{mm}$ outer diameter and $2-\mathrm{mm}$ wall thickness. Knowing that the maximum stress after the offset is introduced must not exceed four times the stress in the tube when it was straight, determine the largest offset that can be used.

Which of the following is the slip system for the simple cubic crystal structure? Why?

$$\begin{aligned} & \{100\}\langle 110\rangle \\ & \{110\}\langle 110\rangle \\ & \{100\}\langle 010\rangle \\ & \{110\}\langle 111\rangle \end{aligned}$$

Determine for wich values of m the function $\phi(x) = x^m$ is a solution to given equation.

a) $3x^2\dfrac{d^2y}{dx^2} + 11x\dfrac{dy}{dx} - 3y = 0$

b) $x^2\dfrac{d^2y}{dx^2} -x\dfrac{dy}{dx} - 5y = 0$

Water is siphoned from a tank connected to a horizontal pipe. Determine the flow rate and the pressure at point A, a stagnation point. 0.04-m diameter of the pipe and h is the height between the pipe merged in the tank and the tank.

A tank contains $1 \mathrm{~m}^3$ of water at $20^{\circ} \mathrm{C}$ and has a drawncapillary outlet tube at the bottom, as in Fig. P6.63. Determine the outlet volume flux $Q$ in $\mathrm{m}^3 / \mathrm{h}$ at this instant.

For the uniform beam shown, determine the reaction at each of the three supports.

The water nozzle ejects water at a speed $v_{0} = 45 ft/sec$ at the angle $\theta = 400$. Determine where, relative to the wall base point B, the water lands. Neglect the effects of the thickness of the wall.

A type E thermocouple is placed in an oven and connected to a computer data-acquisition system. The junction box temperature is independently measured to be 30$^{\circ}$C. The thermocouple voltage is found to be 37.0 mV. What is the temperature of the oven?

An offset h must be introduced into a solid circular rod of diameter d. Knowing that the maximum stress after the offset is introduced must not exceed four times the stress in the rod when it was straight, determine the largest offset that can be used.

(a) A water carbonating plant is available for use in the home and operates by providing carbon dioxide at 5.0 atm. Estimate the molar concentration of $\mathrm{CO}_{2}$ in the carbonated water it produces. (b) After some weeks of use, the pressure in the water carbonating plant mentioned in the previous exercise has fallen to 2.0 atm. Estimate the molar concentration of $\mathrm{CO}_{2}$ in the carbonated water it produces at this stage.

what is the uniform rotation rate in $\mathrm{r} / \mathrm{min}$ about axis $C$ will the U-tube in Fig. P2.155 take the configuration shown? The fluid is mercury at $20^{\circ} \mathrm{C}$.

A thin layer of liquid, draining from an inclined plane, as in Fig. P3.26, will have a laminar velocity profile $u \approx$ $U_0\left(2 y / h-y^2 / h^2\right)$, where $U_0$ is the surface velocity. If the plane has width $b$ into the paper, find the volume rate of flow in the film. Suppose that $h=0.5$ in and the flow rate per foot of channel width is $1.25 \mathrm{gal} / \mathrm{min}$. Compute $U_0 \mathrm{in} \mathrm{ft} / \mathrm{s}$.

A piston/cylinder contains air at 600 kPa, 290 K and a volume of 0.01 $m^3$. A constant-pressure process gives 54 kJ of work out. Find the final volume and temperature of the air.

Draw the influence line for the force in member J I.