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Calculating Moments Simplified Revision Notes

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5.4.2 Calculating Moments

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Examples: Calculating Moments Question 1: Two masses are placed on a surface on a pivot. The surface is balanced. Calculate the distance 𝑥.

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The question says the surface is balanced. Therefore we know that the moments should be equal: Total anticlockwise moment = Total clockwise moment

M=FdM=FdF1Ă—d1=F2Ă—d2F1Ă—d1=F2Ă—d2

We can rearrange this equation:

d1=F2Xd2/F1d1=F2 X d2/F1x=d1=8NĂ—20m/25Nx=d1=8NĂ—20m/25Nx=160Nm/25N=:success[6.4m]x=160Nm/25N=:success[6.4m]
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Question 2: What is the moment of a 4N downward force acting 0.4m from a pivot? 1. Draw a diagram.

To tackle this question, we should start off by drawing a diagram.

2. Look at the formula.

Now that we have a visual representation, we can see that our force is perpendicular to the distance we were given. Now we can use our formula:

M=FdM = Fd

3. Substitute in the numbers.

Once we have put the numbers into the equation, we should get our answer.

M=4x0.4M = 4 x 0.4M=:success[1.6Nm]M = :success[1.6 Nm]
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