# Consider the circuits (systems) in Figure 1. For each of the circuits: 1. Use…

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Consider the circuits (systems) in Figure 1. For each of the circuits: 1. Use the integration-in-time-domain properties of the Laplace transfom to derive the impedance of the capacitors and inductors. Since both capacitors and inductors are causal systems, what are the regions of convergence of their Laplace transforms? 2. Derive the transfer function (from input voltage to output voltage, in Laplace representation) of each system. Compute its pole(s) and zero(s), and the region of convergence. 3. Let = . Substitute and compute the magnitude of the transfer function and verify analytically your intuition about how each system reacts to low frequency components ( → 0) of the input signal, and to very high frequency components ( → ∞). Can you substitute for ? Explain why this is possible or not. What is the effect of resistors on a passive circuit’s poles? 4. If the input is a unit step function ( ), what are the main features you will expect to see in the output? Justify by formally deriving the time-domain response of each system to a unit step (you will use a partial fraction expansion, and the inverse Laplace transform for each fraction term).

For the system shown, define a rotation sequence by first rotating by θ, then by the main shaft spin ψ,

For the system shown, define a rotation sequence by first rotating by θ, then by the main shaft spin ψ, and finally by ϕ, in that order. Find the transformation matrix to the sphere frame S from the inertial frame I and the components of a unit vector aligned with link AB, expressed in the inertial frame, I. Use the link frame L as an intermediate frame and assume when ψ and θ are zero, the link and inertial frames are aligned.

Three electrical machines are connected parallarly in synchronism with each other, one is unbalanced star-delta tranformer, one is 3 phase

Three electrical machines are connected parallarly in synchronism with each other, one is unbalanced star-delta tranformer, one is 3 phase salient pole induction motor and the last one is single pole alternator. They all are connected in ring main system network. The impedance characteristic of whole system is constant. How to find the motors ratings for variable load drives. In the whole system which shaft will be the first one to fail due to fatiguness if the synchronism will be lost. Explain the desired properties for the shaft for the whole system. What is the role of the armature flux of the armature teeth in the whole system. Design the complete commutator segment for the complete system. How many number of parallel paths are possible in the whole system.

1) Determine the minimum Live Loads for the following occupancies. Include both uniform and concentrated load if applicable. Also, note

1) Determine the minimum Live Loads for the following occupancies. Include both uniform and concentrated load if applicable. Also, note if partition load is required and what that load should be. (8 Points) -Hospital Operating Rooms -Retail Store second floor -Office Corridor on the 3rd floor -Stage Floor -Deck/Balcony off of a Light Storage area -Bank Vault -Partitioned Dormitory -Vehicle Barrier2) What is the reduced live load for the following roof beams? (5 Points) -Beam with 200ft2 of tributary area and a roof slope of 0.5:12 -Beam with 300ft2 of tributary area and a roof slope of 4:12 -Beam with 800ft2 of tributary area and a roof slope of 5:123) Thought questions (1 Point Each)a) If you were designing an office for your future engineering practice and the office live load was 50psf and partition load was 15psf, and the corridor loading was 80psf. How would you design the floor?b) What would be the uniform live load (psf) for a residential living room? What would be the uniform live load (psf) for a residential parking garage (Passenger vehicles only)? As an engineer would you feel comfortable telling someone they could park their car in their living room?c) Do engineers have to use live load reduction? If you were practicing by yourself would you use live load reduction in every design? Why or why not?d) Think of a home you have lived in or visited that had an attic. Do you think that attic could be used for storage?

The plan of a house is shown above with its foundation height being 10ft in length. To build the foundation,

Engineering Assignment Writing ServiceThe plan of a house is shown above with its foundation height being 10ft in length. To build the foundation, the top soil is first stripped 4′ deep over the area covering the entire floor area and extending to the point where the downward sloping edge begins at the left side which is some distance from the outer face of the foundation wall section. The foundation is then dug 6′ deep at an angle of repose shown. Calculate the volume of soil dug out to; 1. remove the top soil 2. erect the foundation (Assume the swell factor is 1.25 and give your answers in cubic yards

Construct a passive band-pass circuit to attenuate signal below 100 Hz and above 20 kHz using 10 kΩ resistors as

Construct a passive band-pass circuit to attenuate signal below 100 Hz and above 20 kHz using 10 kΩ resistors as RL circuit. (a) Draw the circuit and indicate component values. (b) What order circuit is this? (c) Derive the transfer function for this filter. (d) Provide the Bode plot of the transfer function indicating all pertinent information (e.g., cut-off frequencies, drop-off, etc.).

A 15m long steel cable is lifting a 20 tonne crate upward off of a ship at a constant velocity

A 15m long steel cable is lifting a 20 tonne crate upward off of a ship at a constant velocity of 3m/s. If the cable stretches by 0.2 cm under these conditions, determine the radius of the steel cable (in cm)? [Young’s modulus of steel: 20 ´ 1010 Pa] [gravitational acceleration is approximately 9.81 m/s2] Please provide the answer in two decimal place.

An iron rod has a grain size of 100 mm and yield strength of 230 MPa. The strength is 300

An iron rod has a grain size of 100 mm and yield strength of 230 MPa. The strength is 300 MPa at a grain size of 25 µm. In order achieve a yield strength of 400 MPa what should be the grain size? Please provide the answer in 1 decimal place.

An aircraft component is fabricated from an aluminum alloy that has a fracture toughness (KIC) of 30 MP m1/2. It

An aircraft component is fabricated from an aluminum alloy that has a fracture toughness (KIC) of 30 MP m1/2. It has been determined that fracture occurs at a stress of 280 MPa when the critical internal crack length is 3.0 mm. For this same component and alloy, will fracture occur at a stress of 370 MPa when the maximum internal crack length is 1.0 mm?

Materials A, B, and C have Young’s modulus of 210 GPa, 70 GPa, and 35 GPa, respectively. For equal yield

Materials A, B, and C have Young’s modulus of 210 GPa, 70 GPa, and 35 GPa, respectively. For equal yield strength, the springback of material B is about Select one:a. 2 times of that for C.b. 1/2 of that for C.c. 1/3 of that for A.d. equal to that for A.

Two fluids are separated by a flat wall. The first fluid is kept at 80 ° C while the second

Two fluids are separated by a flat wall. The first fluid is kept at 80 ° C while the second fluid is kept at 360 ° C; the wall can be molded as an isotropic element with a thickness of 0.02m and a conductivity of 8.6 W m-1 K-1.If the heat transfer coefficients for both fluids are described by:Nu1= 0.15(Gr1Pr1)0.33Nu2= 0.47(Gr2Pr2)0.20a) What type of convection is it?b) What is the temperature on both sides of the wall?b) What is the heat flow in the wall?Consider that the properties of the fluid arek1= 2.9161 W m-1 K-1K2=4.1530 W m-1 K-1ν1=1.9935×10-5 m2s-1ν2=4.2318×10-5 m2s-1Pr1=0.7101Pr2=0.7001Β1=2.9142×10-3K-1Β2=1.8756×10-3K-1

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