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We must first use trigonometric identities to simplify cos²(x). We can use the formula cos(A+B) = cos(A)cos(B) - sin(A)sin(B) , where A=x and B=x, so that we ...

We need to calculate moments about a point through which one of the forces is acting. I choose the bank support point. At this point, 

moments are caused by the weight of the plank acting at its ce...

First we find the y coordinate which is a function of x:

x = 2+ h so  y = (2 - 2 - h)(1 + 2 + h) + 3 = -h² - 3h + 3

Now for the gradient, the line passes through points (2,3) and ...

The cause's of the English Civil war can be divided into three broad categories, the most important of these being religious division. Politically the fear of Absolutism, caused by Charles stringent refor...

Mens rea and actus reus are two elements of a crime, as it would be explained in court. An academic, Wilson, described mens rea as a "mental attitude" - the psychological element of a crime - e....