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    Hookes law

    Homework Statement Hi Can anyone please help with this question? A light elastic string AB has natural length l and modulus of elasticity 2mg. Another light elastic string CD has natural length l and modulus of elasticity 4mg. The strings are joined at their ends B and C and the end A...
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    Banking on race track

    Homework Statement Can anyone explain the above concept in a concise manner? I am proposing that banking aids motion at maximum speed on a curved surface. I am not totally sure how to include the role of side friction and centripetal force. Any further suggestions would be appreciated...
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    Tension in a string simple pendulum

    Homework Statement Hi Guys I obtained a slighty different answer. Can anyone kindly verify where I am going wrong? The question is stated thus: A simple pendulum is of length 0.5m and the bob has mass 0.25kg. Find the greatest value for the tension in the string when the pendulum is set...
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    Uniform Circular motion

    Homework Statement Hi Can anyone help with this question? It will be highly appreciated. An object of mass 6kg is whirled round in a vertical circle of radius 2m with the speed of 8m/s. If the string breaks when the tension in it exceeds 360N, calculate the maximum speed of rotation and...
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    DeMorgans Law using NAND gates

    Homework Statement Hi I am struggling with the diagram of this question. Can anyone help? I would have loaded my diagram but unsure how to do it. This is the question: Starting with the following statement (A+B).(A+C), show how this can be implemented using NAND gates using DeMorgans law...
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    RLC Parallel circuit

    Homework Statement Hi Can a kind person please check my solution? This is the question: Demonstrate the total current in an RLC parallel circuit using the following circuit. I cant draw it but the inductive reactance is 20ohms, capacitive reactance is 5ohms and resistor of 10ohms. All are in...
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    Capacitive reactance

    Homework Statement Now demonstrate how to calculate resonant frequency. Calculate the capacitive reactance for a 300uF capacitor in series with a 800mH inductor. Homework Equations f = 1/2pi(LC)^1/2 Xc = -1/2pifC Hi I urgently need this solution checked out for my BTech...
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    Momentum and hammer

    Homework Statement Hi All Just need some clarification on this problem: In splitting logs with a hammer and wedge, is a heavy hammer more effective than a lighter hammer? Why? Homework Equations F = ma M(v-u)=Ft The Attempt at a Solution I would state that the smaller hammer...
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    Sketching y^2 = X^3

    Homework Statement Hi everyone, I am not sure how to sketch this: y^2 = X^3 I have a feeling it will form a parabola. If I find the square root of both sides I get: y = X^3/2 Differentiating gives me dy/dx = 1.5X^1/2. Kind of stuck from here. Please help. Homework...
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    Simple harmonic motion in a string

    Homework Statement Hi I need some clarification on this question A light elastic string of natural length 50 cm and modulus 20 N has one end fastened to O on a smooth horizontal table. The other end has a particle of mass 0.4 kg attached to it and the particle is released from rest at a...
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    Normal distribution table values

    Homework Statement Hi I need a clarification before my S2 exam on Thursday. How do I find a value of P(Z<0.7925)? This is bearing mind that all the table values are to 2 decimal places. Thanks. Homework Equations Normal Distribution Tables The Attempt at a Solution...
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    Probability function

    Homework Statement Hi I am trying to solve the d, e and f parts of this problem The discrete random variable X has probability function where k is a positive constant. P(X = x) ={k(2 – x), x = 0, 1, 2, k(x – 2), x = 3, 0, otherwise, (a) Show that k = 0.25...
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    Kinematics and projection

    Homework Statement Hi I have been stumped by this question for the past few days. Worrying since I will be sitting STEP in June! Never mind. It goes like this: A particle is projected vertically upwards with a speed of 30m/s from a point A. The point B is h metres above A. The particle moves...
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    Projected particle

    Homework Statement Hi I have been stumped by this question for the past few days. Worrying since I will be sitting STEP in June! Never mind. It goes like this: A particle is projected vertically upwards with a speed of 30m/s from a point A. The point B is h metres above A. The particle...
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    Uncertaininty in a reading

    Homework Statement Hi I need some help with this problem. It reads this way: The manufacturer of a digital ammeter quotes its uncertainty as plus-minus 1.5% plus-minus 2 digits. a) Determine the uncertainty in a constant reading of 2.64A b) The meter is used to measure the current from a...
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    Sketching x/x+2

    Homework Statement Hi I am trying to understand how to sketch the above named graph. Homework Equations The Attempt at a Solution I have obtained the vertical asymptote as x = -2 but not sure of the horizontal asymptote. Examining the graph as x tends to infinty, it seems the...
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    Difference between 1/x and Cosech (x) graph

    Homework Statement Hi Can anyone tell me the difference between the 1/x and Cosech(x) graph? Thanks Homework Equations The Attempt at a Solution
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    Size of a charge

    Homework Statement Hi I need clarification on this problem. Calculate a) the force between 2 charges of +1.4nC and +1.6nC on point conductors 40cm apart in air. b)What size of charge on a third point conductor placed midway between the first two conductors would result in doubling of the...
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    Return time for a string

    Homework Statement Hi I am struggling with the second part of this problem. It reads this way: A particle P of mass 0.8kg is attached to one end of a light elastic string of natural length 1.6m and modulus of elasticity 20N. The other end of the string is fixed to a point O on the...
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    2 elastic light springs

    Homework Statement Hi I cant seem to get a diagram for this question. Can anyone help and also please explain the subsequent diagram. This is the question. A particle of mass 0.8kg is attached to the ends of 2 identical light elastic springs of natural length 1.6m and modulus of elasticity...
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    Centre of mass of of an isosceles Triangle

    Homework Statement Hi I am really stuck on this problem. It reads as such: A uniform triangular lamina is isocceles and has the line y= 4 as its axis of symmetry. One of the vertices of the triangle is the point (2,1). Given that the x-co-ordinate of the centre of mass of the lamina is -3...
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    Interval bisection

    Homework Statement Hi Please, I need clarification on this queston Show that the equation 0 = x/2 -1/x ,x>0, has a root in the interval [1, 2]. b Obtain the root, using interval bisection two times. Give your answer to two significant figures. Homework Equations Change in...
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    Mathematical Modelling

    Hi I will like some advice. I intend to know more about mathematical modelling. Can anyone recommend any useful books, websites of software? How does one develop an interest in it? I will like to specialise in the modelling of energy systems and not sure how to do it. Please advise
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    Newtons 1st Law of motion in a vacuum

    Homework Statement Hi I was wondering what happens to a car accelerating in a vacuum? Homework Equations Newtons 1st Law of motion: A Body continues at uniform speed or in a state of rest, unless acted upon by an external force The Attempt at a Solution Outside a vacuum, cars will...
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    Phase difference of2 oscillated bodies

    Homework Statement Hi Please, I am not sure about this problem. It reads this way: Two identical pendulums X and Y each consist of a small metal sphere attached to a thread of a certain length. Each pendulum makes 20 complete cycles of oscillation in 16s. State the phase difference in...
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    Free oscillations of a metre rule

    Homework Statement Hi Everyone. I came across this problem: A metre rule is clamped to a table so that part of its length projects at right angles from the edge of the table. A 100g mass is attached to the free end of the rule. When the free end of rule is depressed downwards then released...
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    Totally internally reflected ray

    Homework Statement The diagram shows a cube of glass. A ray of light, incident at the centre of a face of the cube, at an angle of incidence θ, goes on to meet another face at an angle of incidence of 50°, as shown in Figure 3. critical angle at the glass-air boundary = 45° Figure 3 (a)...
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    Drawing a displacement/time wave

    Homework Statement Hi I need help on how to draw Displacement/time waves. I am considering this question: If a wave is travelling from left to right, draw a diagram of what the wave would look like 10ms later. The amplitude is 0.02 and wavelength is o.2 m respectively. Homework...
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    Bodies with potential energy

    Homework Statement Hi I am struggling with this question. It goes like this: A rubber ball is dropped on to flat ground from a height of 2m. (a) Calculate how long it takes for the ball to first hit the ground. (b)The ball loses 10% of its kinetic energy at each bounce. Calculate the...
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    Momemuntum of bodies at right angles

    Homework Statement Hi Can someone help with this problem. 2 particles of mass 30g and 40g respectively both travel at a speed of 35m/s in directions at right angles. The 2 particles collide and stick together. Calculate their speed after impact. Homework Equations MaVa + MbVb =(Ma +...
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