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4. A pair of blocks are connected by a light inextensible bar. Both the horizontal and vertical guide slots are frictionless. 3 kg 240 mm 2 kg 100 mm If the blocks are released from rest from the position shown, determine of the velocity of the 3 kg block when: a. It is at the same level as the 2 kg block. 2.17 m/s b. It is 150 mm below the 2 kg block. 2.40 m/s

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The formula current ratio= current assets/current Liabilities current financial ratio. The ratio is used to evaluate the performance of a business. the formula can be written in symbols as c=a/L solve the formula for a

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In 1897, the federal court ruled that the 14th Amendment did not apply to Ricardo Rodriguez and thus he could not become an American citizens.

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Use the following vectors to answer the questions. \overrightarrow{u} = 7\overrightarrow{i} + 10\overrightarrow{j} and \overrightarrow{w} = C\overrightarrow{i} - 60\overrightarrow{j} (a) Find a value of C so that \overrightarrow{u} and \overrightarrow{w} are parallel. C = (b) Find a value of C so that \overrightarrow{u} and \overrightarrow{w} are perpendicular. C =

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Draw the alkene that would yield the following products via ozonolysis.

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1-1 Which equation represents Ohm's law? A. V = I x R B. V=I/R C. I = R x V D. none of the above SUBMIT 1-2 Current is ____ proportional to applied voltage. A. Inversely B. Increasingly C. Directly D. Not

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P3. From experimental results we have the follow data for steel: $E = 2 \times 10^{11} \text{ Pa}$ $G = 0.8 \times 10^{11} \text{ Pa}$ For a state of strain in the material given as $\begin{bmatrix} 0.002 & 0 & -0.002 \\ 0 & -0.003 & 0.0005 \\ -0.002 & 0.0005 & 0 \end{bmatrix}$ determine the stress tensor. Assume isotropic and linear elastic behavior.

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3. (10 - basics) (Foundation) Study the pumping lemma. (a) List all concepts used in the lemma. Each concept should be in the format of concept name and arguments of the concept. (b) List all logical symbols used in the lemma. 4. (10 - medium) (Ideas underlying Pumping Lemma) Given an NFA M and a computation over it: (p1,abc) -m (p2,bc) Fm (p2,c) m (p3,e) where pi is the start state and p3 a final state. (Hint. Not only recall what accept intuitively means, but also its formal definition. Note also the repetition of state p2 in the computation.) (a) is string abc accepted by M? (b) is string ac accepted by M? (c) is string ab'c accepted by M? (d) Explain why for any non-negative number n, ab"c is accepted by M? CS3383 Theory of Automata by Y Zhang, TTU, Fall 2022 5. (5 - advanced) (Comprehensive). Using pumping lemma, prove the language {0^n1^n | n >= 0} over alphabet E = {0, 1} is not regular.

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Question # 3 (25 Marks) A stepped bar is made of a material having Young's modulus E=200 GPa. It is subjected to an axial load of F=35 KN as shown in the figure Question 3. Draw an equivalent finite element model using the spring elements. Determine the nodal displacements, reactions and stresses in the elements. A\textsubscript{1}=400 mm\textsuperscript{2} A\textsubscript{2}=300 mm\textsuperscript{2} A\textsubscript{3}=200 mm\textsuperscript{2} Figure Question 3

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On June 30, 2013, Georgia-Atlantic, Inc., leased a warehouse facility from IC Leasing Corporation. The lease agreement calls for Georgia-Atlantic to make semiannual lease payments of $562,907 over a three-year lease term, payable each June 30 and December 31, with the first payment due on June 30, 2013. Georgia-Atlantic

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