Highlights
SECTION A
A new digital currency in the form of virtual cash, known as Bitcoin was acquainted with the world by Satoshi in 2009. Bitcoin is the most notable computerized money. It is based on a peer-to-peer distributed system with no central authority controlling it. It is based on the technique known as Blockchain, a kind of peer-to-peer ledger system containing the record of all transactions. All sets of transactions are logged in the blocks. The new transactions generated by the users are broadcasted using signed blocks to verify over the Bitcoin network. The transaction is verified by the mining process and added to the Blockchain. In order to add the transaction into the block, the miner solves the cryptographic puzzle in confirming the transactions in the block. The miners are rewarded for their work.
You are a co-owner of a bitcoin mining/producing company situated in Belarus, Eastern Europe. The machines that are used by the company are namely ASIC Miner 16 Mining Th/s, producing Tera Hashes per second of mining power. You have met a Chief engineer where you have presented some types of resistors needed for an upgrade of mining equipment. The information about these resistors is provided below.
Question 1
A resistor is marked coded with the legend 4R7K. What is its value and tolerance? Show all your workings. (1.5)
Question 2
A resistor is marked coded with the legend 330RG. What is its value and tolerance? Show all your workings. (1.5)
Question 3
A resistor is marked coded with the legend R22M. What is its value and tolerance? Show all your workings. (1.5)
Question 4
Kirchhoff’s laws are of special importance for a technical specialist since they must be thoroughly assimilated if one is to have a clear and precise understanding of how electrical and electronic circuits work. Kirchhoff's laws are the only two universal laws of the theory of circuits. By combining them with the current-voltage relationships specific to each of the components, it is possible to resolve all problems within the theory of circuits. In practice, skill in the application of Kirchhoff's laws is explicitly or implicitly required in most situations involving repair or design of circuits. KLC stipulates that the algebraic sum of the instantaneous currents which enter a closed surface is equal to the algebraic sum of the currents which leave it. KLV applies to a series of nodes.
It specifies that the algebraic sum of voltages between successive pairs of nodes of this series is equal to the voltage between the last node and the first node (total voltage). Alternatively, we may say that the algebraic sum of all the voltages in a loop is zero, a loop is defined as a series of nodes such that the first node is the same as the last node. There exist a number of variations on Kirchhoff's laws. The formulations just given are the most general.
The theory of circuits can be derived from approximations determined by electromagnetic theory (Maxwell's laws). KLC can be derived from the law of conservation of electrical charge by ignoring the net accumulation of these charges in the components. This amounts to ignoring the energy stored in the electrical field outside the components. The closed surface used by KLC should thus never penetrate into the interior of the components, where electrical fields can be very strong (as in a capacitor, for example). In other words, each component must be entirely within or entirely outside the volume created by the closed surface.
Question 5
Assume a resistance of 50 ohms rated at 2 Watts is required at the workshop before commencing with your electrical practical. What parallel combination of preferred value resistors will satisfy this requirement? What power rating should each resistor have? Substantiate your answer. Show all your workings. (2)
Question 6
You are required to determine the potential difference that must be applied to a capacitor of 47 micro-Farads that is required to store 4 Joules of energy. Compute this for the lab technician before commencing with the measurements in the laboratory. Show all your workings. (2)
SECTION B
Question 1
1.1
You have been tasked in the mechanical engineering workshop to use different processes in view to manufacture the workpiece from the drawing below. Assume a uniform thickness of 10 mm throughout the part.
Question 2
A metal plate is pivoted at its geometric center and is acted upon by horizontal and vertical forces shown from the bench press.
1.2
The component shown is manufactured from aluminum with a density of 2700kg / 3. It consists of a rectangular base and a 30mm high pyramid. A 12mm hole is drilled through the base as shown below.
SECTION C
Question 1
1.1
You are a technician testing wheels and brakes at Gxamza Wheel and Axial Technologies. During your one-hour lunchtime, you have decided to support yourself by means of a cable and pulley underneath the shade as shown in the figure below. If the seat has a mass of 12 kg, determine the equilibrium force that you must exert on the cable at A and the force applied to the seat. The weight of cables and pulleys must be neglected.
Note: you have to show a free body diagram of yourself, seat, and pulley C respectively with all details. (Include all forces subjected to each diagram without neglecting the weight on the seat)
1.2
After your relaxation, you are required to work on a brake as shown below. The brake bears against the outer surface of a 20-kg wheel for which static friction is 0.45 and kinetic friction equal to 0.4.
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