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A 2.4 m long plank of mass 20kg has 2 pins, each 0.5 meters from each respective plank end. A person of mass 40kg stands on the plank 0.1m from one of the pins. Calculate the magnitude of reactions at the pins for this structure to be in equilibrium.

1.) draw what is happening: 2.)Notice key points of questions: Plank is in equilibrium . This means that all forces=0 and all moment=03.) Apply force equilibrium: 4.) Apply moment equilibrium5.) final answer...
ST
Answered by Samuel T. • Maths tutor
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Explain how integration via substitution works.

The function in terms of x should be broken down into two easier to integrate functions, like so f(x) = g(h(x)). if we say that u=h(x) is our substitution then we can integrate in terms of u now, however the...
DF
Answered by Daniel F. • Maths tutor
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Express 6sin(2x)+5cos(x) in the form Rsin(x+a) (0degrees<x<90degrees)

Expand sin(2x) to 2sin(x)cos(x) so you have 6(2sin(x)cos(x))sec(x). cos(x) and sec(x) cancel out so the expression becomes 12sin(x) + 5cos(x). compare this to the expanded version of Rsin(x+a) which is Rsin(...
JR
Answered by Jacob R. • Maths tutor
5326 Views

3/5 of a number is 162. Work out the number.

Something multiply 3/5 = 162Think of this something as a piece of cake. Now this cake has been equally sliced into 5 pieces. 3 pieces of the cake is worth 162 (let's give it a value, pound, dollar, or anythi...
HK
Answered by Han K. • Maths tutor
4440 Views

If a curve has equation y = (-8/3)x^3 - 2x^2 + 4x + 18, find the two x coordinates of the stationary points of this curve.

The first step in solving this question is to differentiate equation y with respect to x. To differentiate a given 'x' term in an equation use the following method --&gt; x n becomes nx (n-1) .y = (-8/3)x 3 ...
RT
Answered by Robyn T. • Maths tutor
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