Numerade

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Fig. depicts a composite structure made up of an aluminum [G = 28 GPa] tube (1) and a steel [G = 80 GPa] core (2) joined at the ends by stiff plates. The assembly's cross-sectional measurements are depicted in Fig. Aluminum tube (1)'s permitted shear stress is 90 MPa, while steel core (2)'s allowable shear stress is 130 MPa. Determine: (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in the tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. 450 440 T (2) (1) 300 mm $20

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4. Consider the cyclotron setup below. We supply external fields: static magnetic field $B_0$ and oscillating electric field $E$. The particle has charge $q$ (see figure for sign), mass $m$, and initial vertical velocity $v_0$. The particle will spend less time in the $E$ field as it gets faster. Please ignore this effect for this problem. Instead, assume the time is the same for mathematical simplicity. (a) Draw the following plots through the $B$ and $E$ fields as a function of time $t$. Assume the starting position denotes the origin. Label values whenever the particle moves from an $E$ field to a $B$ field. (b) Suppose you replace the given particle with another that has identical charge but 1.5x mass. Do you need to change anything about the $B$, $E$ fields to make the cyclotron speed this particle up to the same final velocity? Justify your answer. Hint: consider both timing and spatial dimensions.

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a.Select kicking skills from their developmental area b. Summarize what are the strategies they would use to encourage and enhance the skill – remember to explain how these strategies would be effective. c. Summarize how they would encourage children to become involved in their activity, i.e. how will they encourage active participation. d. Write an activity planning sheet based on an activity that would enhance this skill. e. Collect the materials that are necessary for this activity

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Which factor would the nurse anticipate is the cause of vaginal bleeding with clots and a boggy uterus in a client who is in the third stage of labor? Deep cervical laceration Intravascular coagulation Superficial vaginal laceration Partial placental separation

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The sample mean and standard deviation from a random sample of 27 observations from a normal population were computed as $\bar{x} = 24$ and $s = 14$. Calculate the t statistic of the test required to determine whether there is enough evidence to infer at the 3% significance level that the population mean is greater than 21. Test Statistic =

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The counter program shown is designed to: Ladder logic program record the time of an event. count up and count down. count below the maximum count allowed per counter. count beyond the maximum count allowed per counter. The counter program shown is designed to: Ladder logic program Inputs Output LI P8C50/DNB3:0/0 CTU COUNT-UP COUNTER (cu) Counter C51 Preset 32000 Accumulated P81 B3:0/0 [OSR] CTU COUNT-UP COUNTER (cu) Counter C5:0 ON Preset 32000 Accumulated 0 P82 C5:0/DN C51/DN PB2 C5:0 (RES) C5:1 @record the time of an event count up and count down count below the maximum count allowed per counter count beyond the maximum count allowed per counter

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A power series representation of $\int_{0+}^{t} \frac{e^x - 1}{x} dx$ about $t = 0$ is $\sum_{n=1}^{\infty} a_n(t)$ where $a_n(t) = $

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At what pH will Fe(OH)$_3$(s) begin to precipitate from $5.15 \times 10^{-3}$ M FeCl$_3$? Ksp for Fe(OH)$_3$ is $2.79 \times 10^{-39}$.

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Use the surface integral in Stokes' theorem to calculate the circulation of the vector field 𝐹̅ (𝑥, 𝑦, 𝑧) = <−3𝑧, 𝑦^2, 2𝑦> around the curve C – the intersection of the cylinder 𝑥^2 + 𝑦^2 = 4 and the plane 𝑥 − 3𝑦 − 2𝑧 = 1, in the counterclockwise direction if viewing from above.

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For the demand equation $p = \frac{10}{(q+5)^5}$, find the rate of change of $q$ with respect to $p$. $\frac{dq}{dp} = $

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amanda j.