Numerade

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4. The uniform concentric cylinder of radius R rolls without slipping on the inclined surface as shown in Figure 4. The cylinder has another cylinder of radius r < R concentrically attached to it. The smaller cylinder has a cable wrapped around it. The other end of the cable is fixed. The cable is parallel to the inclined surface. The stiffness of the cable is k and the mass and rotary inertia of the two attached cylinders are m and Jo, respectively. The length of the unstretched spring is L. M(t) is an externally applied moment. a) Determine the equation of motion of the system by carrying out moment balance. b) Determine the equation of motion of the system by using Lagrange's Equations. c) Determine the damping factor of the system. M(t) m, Jo 8 k R α Figure 4 C

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Find an equation of variation in which y varies directly as x and y=6 when x=0.3. Then find the value of y when x =16

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While driving on a highway, Manuel sees a sign on a building that says "H_T_L." George knows that the building is a hotel even though the sign is missing 39 letters because of the Gestalt Multiple Choice law of proximity law of similarity law of continuity law of closure

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Evaluate \int \frac{60x}{x^2 - x - 6} dx by solving the equivalent \int \frac{A}{x - a} + \frac{B}{x + b} dx which leads to a solution of A ln(x - a) + B ln(x + b). What are the values of these constants? A. a = 2, b = 3, A = 24, B = 36 B. a = 3, b = 2, A = 36, B = 24 C. a = 4, b = 2, A = 40, B = 20 D. a = 6, b = 1, A = 360/7, B = 60/7 E. a = 2, b = 4, A = 20, B = 40 F. a = 1, b = 6, A = 60/7, B = 360/7

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Divide: (18x^3 + 9x^2 + 7x + 4) ÷ (6x + 5) Your answer should give the quotient and the remainder. Divide: (18x^3 + 9x^2 + 7x + 4) ÷ (6x + 5) Your answer should give the quotient and the remainder.

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helpQUESTION 2 Use the definition of Laplace Transform to find L{sinalpha tsineta t} QUESTION2 Use the definition of Laplace Transform to find L{sin at sin t}

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If the supply of a product increases, then we would expect equilibrium price Question 19 options: to increase and equilibrium quantity to decrease. to decrease and equilibrium quantity to increase. and equilibrium quantity to both increase. and equilibrium quantity to both decrease.

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What is the torque (in N-m) about the origin of the force (6.21 - 1.81 + 1.0k) N if it is applied at the point whose position is r = (-1.61 +4.5j) m? (Express your answer in vector form.) T= N m Additional Materials

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A 16 bit TPM module is configured for PWM on one of its channels. The module counter overflows after the counter equals the value in the TOP register. A MATCH register is used to generate a PWM waveform. If the timer is configured to clear-on- match, what is the duty cycle of the active-high PWM waveform if TOP is configured as 0 imes 440 e and the MATCH register is set to 0 imes 3697. Provide your answer rounded to exactly one decimal place with NO percent sign. A 16 bit TPM module is configured for PWM on one of its channels. The module counter overflows after the counter equals the value in the TOP register.A MATCH register is used to generate a PWM waveform. If the timer is configured to clear-on- match,what is the duty cycle of the active-high PWM waveform if TOP is configured as 0x440e and the MATCH register is set to 0x3697.Provide your answer rounded to exactly one decimal place with NO percent sign.

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What is full adder? Write its truth table and the circuit for full adder. How a full adder can be implemented using decoder and demultiplexer. How can we create basic gates, XOR gate and XNOR gate using universal gates? Make the circuits diagrams.

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