What error was made in calculating the moment at point H?

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The calculation of moments at point H indicates that Rcos(theta)(0.4) + 60(0.2) equals zero, leading to Rcos(theta) = 30. However, the mark scheme states that when moments are taken at point R, Rcos(theta) should equal 60. The discrepancy arises from not accounting for the moment due to the horizontal component of R acting on point H. This oversight in considering all forces and their points of application led to the incorrect conclusion. Understanding the correct point of moment calculation is crucial for accurate results.
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For figure 1.2, if you take moments at the point where H acts, then you get (assuming moments are positive anti-clockwise):

-RCos(theta)(0.4) + 60(0.2) = 0

Rearranging gives:

Rcos(theta) = 30

However, according to the mark scheme (which takes moments at the point where R acts) Rcos(theta) = 60

What have I done wrong?
 
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About H, there is also a moment due to the horizontal component of R.
 
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