0 2. As a traffic engineer, you have been asked to investigate the dynamic response of the road sign (in Figure a below) to wind gusts. In particular, you are to stu-the bending and torsional response of the support pole for the sign due to initial velocity conditions due to a wind gust (Figure b). Derive the equation of motion using Lagrange's equation and show it in matrix form (neglect gravity). (25) San Diego Fwy Speed Limit 55 (White Ford Broncos 25) (a) Front View ww (b) Top View M. la

0 2. As a traffic engineer, you have been asked to investigate the dynamic response of the road sign (in Figure a below) to wind gusts. In particular, you are to stu-the bending and torsional response of the support pole for the sign due to initial velocity conditions due to a wind gust (Figure b). Derive the equation of motion using Lagrange's equation and show it in matrix form (neglect gravity). (25) San Diego Fwy Speed Limit 55 (White Ford Broncos 25) (a) Front View ww (b) Top View M. la

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

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2. As a traffic engineer, you have been asked to investigate the dynamic response of the road sign (in Figure a below) to wind gusts. In particular, you are to stu-the
bending and torsional response of the support pole for the sign due to initial velocity conditions due to a wind gust (Figure b). Derive the equation of motion using
Lagrange's equation and show it in matrix form (neglect gravity). (25)
San Diego Fwy
Speed Limit 55
(White Ford Broncos 25)
(a) Front View
(b) Top View
G
M. Ic
0

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diagram, F, is the input force exerted on the cart by the voltage applied to the motor, m, is the mass of the cart. The encoder is used to keep track of the position of the cart on the track. Cart Encoder Mater March 7, 2023 Track X Figure 5: Free body diagram of the cart (ignoring friction) Using Figure 5 and basic Newtonian dynamics you can derive the equations governing the system. 3.3 Motor Dynamics The input to your system is actually a voltage to the cart's motor. Thus, you need to derive the dynamics of the system that converts the input voltage to the foren exertal on the cart. These are the dynamics of the motor. Figure 6 shows a diagram of the electrical components of the motor. Figure 6: Clasic armature circuit of a standard DC motor For this derivation of the motor dynamics we assume the following: • We disregard the motor inductance: IR, so we can use the approximation 0. • Perfect efficiency of the motor and gearbox: -- 1. The torque generated by the motor is proportional…
The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): PV = NkBT (or pV = nRT), Figure L₂ Lx 1 of 1 Part A Find the magnitude of the average force (F) in the x direction that the particle exerts on the right-hand wall of the container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the position of the container is fixed. Be careful of the sign of your answer. Express the magnitude of the average force in terms of m, vr, and L₂. ► View Available Hint(s) Submit Part B IVE ΑΣΦ ? Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities. but their average x velocity squared. denoted
For the following system, ﬁnd the mass matrix [m] and the stiﬀness matrix [k] and write the diﬀerential equations.
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6. The electro-mechanical system shown below consists of an electric motor with input voltage V which drives inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System puthiy C V V₁ R bac (0) T bac T Motor - Motor Input Voltage - Motor Back EMF = Kbac ( - Motor Angular Velocity - Motor Output Torque = K₂ i Kbacs K₁ - Motor Constants Mechanical System M T Frictionless Support
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Using the equation of motion. Include free body diagram please and thanks!