1. A continuous signal is monitored with LabVIEW, the figure on the right shows the continuous signal acquired with a sufficiently high sampling rate to represent it correctly while the FFT magnitude vs. frequency shows the frequency content from a sampling of the signal at sampling rate (fs) less than the Nyquist frequency requirement. Determine the following 5.5 The input signal frequency, fm a. 02 04 06 08 Time b. The sinusoid equation that describes input signal: c. What should be the lowest sampling frequency, f, to satisfy the Nyquist Theorem to correctly capture the frequency information of the input signal? FFT d. Does the FFT result show an alias frequency fa or the correct signal frequency fm? i. if yes T i. if no fm= Freq. [Hz] be if fm is the value What would the alias frequency found for part a (show your calculations for each) 2. An electrical (RC) circuit which can be modeled as a 1^ft order system is initially at 0.05 VDC due to the capacitor not being fully discharge. At time, t=0 sec, the supply voltage (Vs) is switched on to 5VDC. A voltmeter monitors the voltage across (Vo) the capacitor and at time, t=2 seconds, it records a voltage of 2.5 VDC Assume the voltmeter has a faster response time than the RC circuit. the input signal and the estimate of the circuit’s response w.r.t. time. What is the circuit’s time constant, x? How long would it take for the voltage across the capacitor to reach 4.5 Volts?

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(1) A count of the stationery room showed that Office Supplies on hand at 30th June 2018 were $2 313.

(2) Both the Furniture & Fittings and the Equipment will be used evenly over their useful lives. The expected total useful lives and residual values of both assets is as follows:

Estimated Useful life

Estimated Residual

Furniture & Fittings

6 years

$6 500

Equipment

10 years

$1 800

(3) Interest on the loan is 4.5% per year. Interest accrued for the year but not recorded at 30th June 2018 was $2048.

(4) In order to allow for cash flow fluctuations, the bank has approved a $25,000 overdraft facility for Peter’s business bank account.

(5) The balance in the Prepaid Insurance account represents a 12 month insurance policy that commenced on 1st May 2018.

(6) $2 670 of the recorded Sales Revenue is for deposits paid for catering services to be provided in July.

(7) As of 30th June 2017, Peter has estimated that 2% of his Accounts Receivable will not be collected.

REQUIRED:

As it is now the end of the financial year, you have to undertake the following work for Penny:

a. Prepare any necessary Balance Day Adjustment Journals for SCC. Include a brief narration (explanation) for each journal entry. (11 marks)

b. Post the journals from (a) above to the General Ledgers provided. (7 marks)

c. Complete the Adjusted Trial Balance provided for the account balances calculated in the General Ledgers from (b) above. (7 marks)

SALT and CHILLI CATERING

UNADJUSTED TRIAL BALANCE

AS AT 30 June 2018

Debit ($)

Credit ($)

Cash at Bank

15 064

Accounts Receivable

18 949

Inventory

18 760

Prepaid Insurance

6 114

Office Supplies on hand

2 436

Furniture & Fittings

52 370

Accumulated Depreciation – Furniture & Fittings

13 974

Equipment

81 895

Accumulated Depreciation – Equipment

17 880

Accounts Payable

24 391

Electricity Payable

3 110

Loan Payable

53 155

Peter’s SCC – Capital

54 516

Peter’s SCC – Drawings

36 695

Sales Revenue

423 300

Sales Returns and Allowances

9 440

Cost of Sales

163 808

Discount received

12 526

Freight inwards

7 420

Catering Salary Expense

65 936

Delivery Expense

18 992

Advertising Expense

25 773

Rent Expense

26 548

Office Salaries Expense

36 150

Electricity Expense

9 963

Discount Allowed

6 539

Totals

602 852

602 852

 

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1. a firm’s workforce is on average 20 years away from retiring. The firm’s workers Suppose could find similar work in other companies earning $40,000 per year. Also, suppose that workers who shirk their work have a .30 chance of being dismissed.

a. For simplicity, assume that workers could find a job in an alternative company with no search costs. What would the firm have to pay to impose shirking costs of $60,000 on the average worker during his (her) work life expectancy? Show your work.

b. Find three salary-probability of dismissal combinations that would yield shirking costs of $60,000 for the average worker over his (her) work life expectancy.

2. Suppose a firm is considering installing cameras and using spy software on the computers at the office to monitor its workers in addition to hiring additional supervisors. The firm estimates that increasing the probability of catching workers who shirk by .01 costs the company $10,000 per year. For example, in the problem above when going from 0.30 to 0.31, it would cost the firm $10,000 per year. How much would the firm have to spend in order to impose shirking costs of $75,000 on its average worker? Show your work. Assume that

· the firm’s work force is on average 20 years away from retiring

· that the firm’s workers could find similar work in other companies earning $40,000

· that the company currently pays its workers $42,000

· and that the current probability of catching workers who shirk is 0.30,

 

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1. (a) For the circuit shown in FIGURE 1 sketch the voltage waveform across the secondary winding of the transformer. On the same diagram sketch the load voltage waveform. The sketches should take into account diode voltage drops. Indicate the following on the sketches: (i) when diodes are conducting and in what order (ii) when the capacitor is charging and discharging (b) With the aid of the above voltage waveform sketches, briefly explain the operation of the circuit. Document Preview:

(a) For the circuit shown in FIGURE 1 sketch the voltage waveform across the secondary winding of the transformer. On the same diagram sketch the load voltage waveform. The sketches should take into account diode voltage drops. Indicate the following on the sketches: when diodes are conducting and in what order when the capacitor is charging and discharging With the aid of the above voltage waveform sketches, briefly explain the operation of the circuit. T1 vSECONDARYDD1ESUPPLY2 D3D4 C1vCRL 10 : 1 FIG. 1 Teesside University Open Learning© Teesside University 2011 Created with an evaluation copy of Aspose.Words. To discover the full versions of our APIs please visit: https://products.aspose.com/words/ The source voltage for the power supply circuit shown in FIGURE 1 is mains, i.e. 230 V rms at a frequency of 50 Hz. Calculate the following for a load resistance of 25 ? and a smoothing capacitance of 1000 µF: rms and peak voltage across the secondary winding of the transformer the peak voltage across the capacitor the peak-to-peak and rms ripple voltages the load d.c. voltage and current. Model the power supply circuit using PSPICE and use the simulation to plot the load and ripple voltages, the current in the capacitor and a diode. Compare the waveforms with the values calculated above and attempt to account for any discrepancies. Briefly explain the function and operation of TR1, TR2, R1 and R1 in the circuit shown in FIGURE 2. R2 TR1 Created with an evaluation copy of Aspose.Words. To discover the full versions of our APIs please visit: https://products.aspose.com/words/ R1 TR2 Voltage regulator InOut Common Created with an evaluation copy of Aspose.Words. To discover the full versions of our APIs please visit: https://products.aspose.com/words/ VINRLOAD FIG. 2 Teesside University Open Learning© Teesside University 2011 Created with an evaluation copy…

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1. A gearbox is modeled as which comprises two identical gears of moments of inertia J1 and N1 teeth, meshing with two identical pinions of moments of inertia J2 and N2 teeth. All three shafts have stiffness k. For the relations given below:

find the natural frequencies and natural modes of the system. Sketch the latter.

2. Derive a procedure to obtain the zero-state response of a two-dof semidefinite system that does not preserve the generalized—translational or angular— momentum. To this end, use as an example the belt-pulley system.

 

 

 

 

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