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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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
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...
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...
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...
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)...
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...
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...
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 +...