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Explain the effects of oxidation on the behaviour and properties of two different metals.
• You should identify specific applications to describe the effects on each metal.
• Use relevant diagrams to support your findings.
• Write at least 500 words.
A first order partical differential equations p+q=z-xy is
Q.4 Design a sequential circuit with two D flip-flops A and B, one input x, and one output y.
When x = 0, the state of the circuit remains the same with output y=1. When x = 1, the circuit
goes through the state transitions with output y=0. The state transitions from 00 to 01, to 11,
to 10, back to 00, and repeats.
Q.3 Design a sequential circuit by using JK-flip flop which can detect a sequence of three or more consecutive 1’s in a string of bits coming through an input line.
Q.2 Design a sequential circuit by using T-flip flop which can detect a sequence of three or more
consecutive 0’s in a string of bits coming through an input line.
A PN flip-flop has four operations: clear to 0, no change, complement, and set to 1, when
inputs P and N are 00, 01, 10, and 11, respectively.
(a) Tabulate the characteristic table.
(b) Derive the characteristic equation.
(c) Tabulate the excitation table.
(d) Show how the PN flip-flop can be converted
to a D flip-flop.
It is important that the karts can brake effectively. They use drum brakes where a solid circular drum of mass 4.0 kg and radius 0.15 m is rotating at an angular speed of 22 rad s−1 about an axis when a ‘braking’ torque is applied to it which brings it to rest in 5.8 s.
Calculate
i) its angular deceleration when the braking torque is applied.
ii) the moment of inertia of the drum about the axis shown
𝐼 = 1 𝑚𝑟2 2
iii) the resultant torque that causes it to decelerate.
Your go karts have a mass of 450kg and travel around a circular curve on a flat, horizontal track at a radius of 42 m.
a) Draw a diagram to show the go kart on the track and add an arrow to show the direction of the frictional force needed for the car to travel around the curve at a radius of 42 m.
b) The maximum frictional force between the tyres and the road is equal to 20% of the weight of the car and driver. Calculate the coefficient of friction when an adult of mass 70kg is driving the kart.
c) Calculate maximum angular velocity at which the car can travel round the curve at a constant radius of 42 m.
d) Calculate the maximum linear velocity.
e) You decide that this is not nearly fast enough and decide to create a banked track of 12O, what is the maximum linear velocity now?
f) Describe qualitatively how this could change if a child were driving the kart.
Determine (input the letter only) what functions does the following expression belong.
The questions items has the format of f(x), f(m, n).
A: one to one, not onto B: onto, not one to one
C: one to one, onto D: Neither one to one nor onto
E: Not a function
Given for solving the f(S): f(x) = x^2/3
The questions items has the format of S={1,2,3}.
Format of answer: f(S) = {1, 2, 3}
- f(x) = x + 2, Z → Z.
- f(x) = 4x+5, R → R.
- For the given sequence, provide a simple formula or rule that generates the terms of the sequence: 2, 3, 7, 25, 121, 721, 5041, 40321,..
- f(x) = 2x + 1, R→ R.
- f(x) = x^3 , R → R.
- f(x)= x + 2 / x^3 + 8, Z → Z,
- S = {1, 5, 7, 11}
- S = {2, 6, 10, 14}.
determine the heat evolution inside a horizontal tube heated at the bottom at a temperature of 40 degree celsius, diameter of the tube is negligible and tube length is 1m, v =1cm/sec
