Engineering

The Hoover Dam, in Arizona, encloses Lake Mead, which contains 10 trillion gallons of water. The dam is 1200 ft wide and the lake is 500 ft deep. ( a ) Estimate the hydrostatic force on the dam, in MN. ( b ) Explain how you might analyze the stress in the dam due to this hydrostatic force.

The Hoover Dam, in Arizona, encloses Lake Mead,which contains 10 trillion gallons of water. The dam is1200 ft wide and the lake is 500 ft deep. ( a ) Estimate thehydrostatic force on the dam, in MN. ( b ) Explain howyou might analyze the stress in the dam due to this hydrostaticforce. EXPERT ANSWER

Dynamics: the slender rod has a mass m and is suspended at its end A by a cord. If the rod receives a horizontal blow giving it an impulse I at its bottom B determine the location y of the point P about which the rod appears to rotate during the impact. Express your answer in terms of some or all variables m, I l and appropriate constants.

Dynamics: the slender rod has a mass m and is suspended at its end A by a cord. If the rod receives a horizontal blow giving it an impulse I at its bottom B determine the location y of the point P about which the rod appears to rotate during the impact. Express your answer …

Dynamics: the slender rod has a mass m and is suspended at its end A by a cord. If the rod receives a horizontal blow giving it an impulse I at its bottom B determine the location y of the point P about which the rod appears to rotate during the impact. Express your answer in terms of some or all variables m, I l and appropriate constants. Read More »

2 Consider the electrical network below. y I 1 R R u 1 x2 Using our extensive circuits knowledge, we know that y = X1 + C22 as well as that the following relationships hold for the two loops in the network Loop 1: RX1 + Lei Loop 2: ዜ U = u = · RC:62 + x2 Find a state space realization of this system. 4 A so-called unicycle model of a mobile robot states that ci = u cos(23) 22 = u1 sin(x3) 13 = U2, where (21,22) is the position of the robot, X3 is its orientation, uy is its velocity and u2 the angular velocity. a Linearize this system around (21, X2, X3) = (0,0, 1/2) and (ui, u2) = (0,0) in order to obtain a a linear state space model. b Without worrying too much about the technical definition, a system is controllable if it is possible to drive the system between any two states (by picking a suitably clever input signal). Is the system in 4a controllable?

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Q3 A armature controlled D.C motor runs at 5000 rpm when 15v applied at the armature circuit. Armature resistance of the motor is 0.2 Ω, armature inductance is negligible, back emf constant is 5.5×102 v sec/rad, motor torque constant is 6×10-5, moment of inertia of motor 10-5, viscous friction coefficient is negligible, moment of inertia of load is 4.4×10-3, viscous friction coefficient of load is 4×102 La Bm ea 15v eb VFconstant a) Drive the overall transfer function of the system i.e. QL(s)/ Ea(s) b) Determine the gear ratio such that the rotational speed of the load is reduced to half and torque is doubled

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18. Zoom in on the map. Find the pin for Mormon’s Crossing. Which road crosses Oak Creek at this location? 19. Given that Page Springs Cellars offers Rhone-style wines, would Page Springs Cellars have a similar climate to the Rhone River in France? Explain your thoughts. 20. Name three animals that are found in the Lower Verde area.

EXPERT ANSWER 1.Mormons Crossing is a little area along Oak Creek in Cornville, Arizona. Along this creek there are several holes deep enough to swim in, some rapids, and even a rope swing. It’s a great spot to cool off, with plenty of trees shading this riparian beauty. There is a new way for you …

18. Zoom in on the map. Find the pin for Mormon’s Crossing. Which road crosses Oak Creek at this location? 19. Given that Page Springs Cellars offers Rhone-style wines, would Page Springs Cellars have a similar climate to the Rhone River in France? Explain your thoughts. 20. Name three animals that are found in the Lower Verde area. Read More »

A control system with negative unity feedback has a process G(s) 400/s(s + 40) and we wish to use proportional plus integral compensation, where Gc(s) = KP + K1/ s Note that the steady-state error of this system for a ramp input is zero, (a) Set K/ = 1 and find a suitable value of KP so the step response will have an overshoot of approximately 20%. (b) What is the expected settling time (within 2% settling criterion) of the companseted system.

A control system with negative unity feedback has a process G(s) 400/s(s + 40) and we wish to use proportional plus integral compensation, where Gc(s) = KP + K1/ s Note that the steady-state error of this system for a ramp input is zero, (a) Set K/ = 1 and find a suitable value of …

A control system with negative unity feedback has a process G(s) 400/s(s + 40) and we wish to use proportional plus integral compensation, where Gc(s) = KP + K1/ s Note that the steady-state error of this system for a ramp input is zero, (a) Set K/ = 1 and find a suitable value of KP so the step response will have an overshoot of approximately 20%. (b) What is the expected settling time (within 2% settling criterion) of the companseted system. Read More »

Two blocks of mass m1 = 2.00 kg and m2 = 6.00 kg on a frictionless table are connected by a massless string. Forces of magnitude F1 = 10.0N and F2 = 5.00N are applied as shown. The string remains taught during the motion. (a) Draw a free body diagram for each block. (b) Draw a free body diagram for the blocks and string treated as one system. (c) What is the acceleration of the blocks? (d) What is the tension in the string?(e) What are the normal forces exerted by the table on each block? (f) What is the net force (direction and magnitude) acting on m2

EXPERT ANSWER Normal force on m2 = m2g = 6*9.8 = 58.8 NNetforce on m2, F = F2 + T = 5 + 6.25 = 11.25 N in thr + ve X axis direction