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Draw the control circuit complete with referencing number and terminal number for an overhead crane according to the sequence described below: Figure 5: An overhead crane - Press pushbutton $\mathrm{S}1$ (N/O), motor will move forward and green pilot light $\mathrm{H}1$ will turn on for 10 seconds. This is to allow the motor to reach the end limit of the crane. - After the motor reaches the end of travel (indicated by the delay time durations), the motor will stop and red pilot light $\mathrm{H}2$ will turn $\mathrm{On}$. - The control supply for this circuit is $48\mathrm{Vac}$. - Safety features must be included where: i. The motor must stop at condition the thermal overload relay tripped and an emergency button $\mathrm{S}2$ is pressed.

Pipelining in computer architecture is a technique where multiple instructions are overlapped in execution. It's much like an assembly line in a factory, where different stages of production are handled simultaneously but at different stages of completion. Each stage in a pipeline completes a part of an instruction; as one instruction is being executed, another is being decoded, and yet another is being fetched from memory. Program In the context of MIPS architecture, a pipeline hazard is a situation that causes the next instruction in the pipeline to either stall or be executed incorrectly. These hazards are generally categorized into three types: data hazards, control hazards, and structural hazards. Data hazards occur when instructions that are close together in a program depend on the same data. Control hazards arise from the pipelining of branches and other instructions that change the PC. Structural hazards happen when hardware cannot support all possible combinations of instructions in simultaneous overlapped execution. For example, consider these two MIPS assembly code lines: 1. 'ADD R1, R2, R3' (This instruction adds the contents of $R2$ and $R3$ and stores the result in R1) 2. 'SUB R4, R1, R5' (This instruction subtracts the contents of R5 from R1 and stores the result in $\mathrm{R}4$ ) Question: What type of hazard is being referred to in this scenario, and what strategies can be employed to mitigate it? Create a diagram to visually illustrate the hazard and present ways to address it. (Hints: Introduce a control signal, and consider the addition of extra wires to reduce dependency, this is a widely studied problem).

the amplifier, the two stages of the amplifier are capacitively coupled, and the output of this amplifier is directly coupled to the output stage. Figure 4 Gain stage (two-stage common-emitter amplifier) for design application Note: We may note that, as with any design, there is no unique solution. In addition, to actually build this circuit with discrete components, we would need to use standard values for resistors, which means the quiescent current and voltage values will change, and the overall voltage gain will probably change from the designed value. Also, the current gains of the actual transistors used will probably not be exactly equal to the assumed values. Therefore some slight. modifications will likely need to be made in the final design.

Given an investment product: 1. Buyer will pay a monthly premium for a number of months. 2. The premium paid will earn interest. The rate is the Zero Coupon Rate Zero Coupon Rate has the same definition as presented in Yield Curve Lecture. 3. Starting the next month after the last payment, buyer will start receiving an amount at the end of each month for a number of months. Note: 1 . Interest will continue to be earned throughout the investment and payout periods 2. The final balance should be as close to zero as possible. 3. All Payment Date and Payout Date should follow the Modified Following conventic with End-End rule applied.

The bar is subjected to distributed load as shown in the Fig.4, where $E=200\mathrm{GPa}$ and square cross-section with $0.3\mathrm{m}\mathrm{X}0.3\mathrm{m}$. a) Find the exact solution of the system using strength of materials approach b) Use FEA modeling of beam for 1 and 3 elements c) Compare the displacement and stress results for 3 cases ( 1 exact and 2 FEA) and discuss the results.

The mountain bike has a mass of $40\mathrm{kg}$ with center of mass at point $G_1$, while the rider has a mass of $60\mathrm{kg}$ with the center of mass at point $G_2$. When the brake is applied to the front wheel, it causes the bike to decelerate at a constant rate of 3 $\mathrm{m}/{\mathrm{s}}^2$. Determine the normal reaction the road exerts on the front and rear wheels. Assume that the rear wheel is free to roll. Neglect the mass of all the wheels. $(25\%)$

Q2: A) write down the decay equation and the Q-value for: $?$-decay, $?$-decay and $?$ decay. B) In $?$-decay, find the kinetic energy of the daughter nueleus in term of the $Q$ value. Q3: If the Beta decay energy is large compared with $m_e{c}^2$. Show that the average value of the $T_e$ is equal to $Q/2$. Q3)In beta decay, if the neutrino has a mass rather than the zero value, show that the electron spectrum is given by $\begin{array}{l}\text{ where }d??F(Z,p)p_e^2\left(T_{e(\max )}?T_e\right)[{\left(E_{\stackrel{?}{v}}^2?{\left(m_{\stackrel{?}{v}}{c}^2\right)}^2\right]}^{1/2}d{p}_e\\ E_v=T_{e(\max )}?T_e=\sqrt{\left(p_v^2{c}^2+m_v^2{c}^4\right)}\end{array}$ B) Sketch the beta particles spectrum. $\begin{array}{l}d?=p_e^2{\left[T_e(\max )?T_e\right]}^{2}dp\frac{?M{?}^2}{2{?}^3{c}^5{?}^7}\\ ?=\frac{2}{?}\sqrt{2mQ}\left(b\left[\frac{?}{2}?2{\left(\frac{R}{b}\right)}^{\frac{1}{2}}\right]\right)\end{array}$ ${\mathrm{M}}_e=.511\mathrm{MeV}/{\mathrm{c}}^2{\mathrm{M}}_p=938.272\mathrm{MeV}/{\mathrm{c}}^2\mathrm{Mn}=939.566\mathrm{MeV}/{\mathrm{c}}^2$