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A block of mass 5kg is at rest on a smooth horizontal table, and connected to blocks of 3kg and 4kg which are hanging by strings via pulleys on either end of the table. Find the acceleration of the system and the tension in each string.

[would draw diagram to make easier].
We can use Newton's Second Law (F=ma) to resolve the forces acting on each of the blocks (label string on 3kg side T₁ and on 4kg side T₂, an...

Answered by Daniel O. • Maths tutor

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What is a hypothesis test

A hypothesis test is used for deciding if something is statistically significant or not.You begin stating your two hypothesesH0: Null hypothesisH1: Alternative hypothesisFor example in a ...

Answered by David A. • Maths tutor

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Sketch the graph of y=3sin(2x +pi/2)

Understand what each tranformation does.Sketch in progressive steps, by considering what happens to important points, intersections and max/min values. i.e First 3sin(x)Then pi/2 translationThen 2x transf...

Answered by James T. • Maths tutor

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How can you integrate the function (5x - 1)/(x^(3)-x)?

The first thing to do, is see if it can be simplified: 5x -1 can't, however x^(3) - x simplifies to x(x^2 - 1) and then to x(x-1)(x+1) by the difference of two squares. So now we have (5x - 1)/(x(x-1)(x+1...

Answered by Adam W. • Maths tutor

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Sketch the graph of f(x) = sin(x). On the same set of axes, draw the graph of f(x)+2, f(2x) and f(-x). By observing your graphs of f(x) and f(x), if f(a)=1, what is the value of f(-a)?

The first stage is the simple drawing of the sin graph. (could be done on the whiteboard)Then it is a typical A-Level style question to perform three types of transformations on that graph, here we have 1...

Answered by Jessica G. • Maths tutor

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