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HW #1-5: Textbook Problem 4-12 a) Determine the reactions b) Draw FBD, SFD, and BMD c) Determine the equation of internal bending moment, $M(x)$, for the segment BC using equilibrium equations d) Determine the equation of internal bending moment, $M(x)$, for the entire beam using singularity function 600 N C A B x 4 m 2 m

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In this activity you will determine if a simple pendulum oscillates faster on the Earth or on the Moon using modeling and DEs.

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Consider the one-dimensional motion of two particles P1 and P2 that have identical mass m in the potential V = k|x|. Assume P1 and P2 are set free from the rest at the same time t0 = 0 at positions x1 = h > 0 and x2 = 9h, respectively. (a) Determine the time t1 when P1 first passes x = 0, and determine the position of P2 at t1. [4] (b) Let t2 be the time when P2 first reaches x = 0. Show that at t = t2, P1 reaches x = 0 for the second time, which implies that a collision occurs at t = t2. [4] (c) Suppose that the collision is elastic (energy conserving). Determine the velocities v⃗ 1 and v⃗ directly before the collision as well as the velocities v⃗ ′ and v⃗ ′ directly after 212 the collision. [4] (d) Determine the time of the second collision. [3]

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According to Aristotle, the four causes include all of the following except: The efficient cause The metaphysical cause The final cause The material cause

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The five primary functions of a computer are input, process, output, storage, and memory. True False

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Which of the following describes a tradeoff faced by a family deciding whether to buy a new car? Check all that apply. Fuel-efficient cars are more expensive, but regular cars require spending more on gas. An increase in the family's car payment means the family will be unable to afford a vacation. A larger vehicle means saving time by not having to make multiple trips somewhere, but a smaller vehicle is cheaper. The vehicle is available in several colours.

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For each reaction in the table below, write the chemical formulae of any reactants that will be oxidized in the second column of the table. Write the chemical formulae of any reactants that will be reduced in the third column. reaction $Cl_2(g) + Ca(s) \rightarrow CaCl_2(s)$ $S(s) + O_2(g) \rightarrow SO_2(g)$ $Fe(s) + I_2(s) \rightarrow FeI_2(s)$ reactants oxidized reactants reduced 0 0 0 0 0 0

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In the figure below if $x_1 = 4.5$ and $x_2 = 2.8$, what is the value of damping ratio $\zeta$ (rounded to third place of decimal)

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A conducting bar can slide freely over two conducting rails as shown in Figure 1. Figure 1: A conducting bar sliding freely over two conducting rails. Calculate the induced voltage, Vemf, in the bar: (i) (ii) Wb If the bar is stationed at y = 6 cm and B = 3 cos 10t a m^2. Wb If the bar slides at velocity, u = 10ay m/s and B = 3a m^2. [5 marks] [5 marks]

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The variable t is a real number, and P = \left( -\frac{2}{5}, \frac{\sqrt{21}}{5} \right) is the point on the unit circle that corresponds to t. Find the exact values of the six trigonometric functions of t.\n\nsin t = \boxed{} (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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