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M2 centre of mass

ABCDE is a light framework consisting of a square ABCE and an equilateral triangle CDE, as shown. Masses of 2kg, 1 kg, 4kg, 5 kg and m kg are attached to A, B, C, D and E respectively. The framework is then suspended from A. Find the value of m if the diagonal AC makes an angle of 20 Deg with the vertical.

The information tends to indicate all sides are equal so I have said let all sides equal 'a'. I think I am overlooking something because I have too many unknowns in the equation: centre of mass coordinates x and y Plus 'm' and 'a'.
I would appreciate some assistance please.

Reply 1

ABCDE is a light framework. That's a bit of mechanics code there.

Reply 2

OP

steelmole

ABCDE is a light framework. That's a bit of mechanics code there.

Thanks for your reply, but it contains nothing that would assist.

Reply 3

You have let all sides have mass a. The question says the framework is light. This is mechanics code for ignore the mass of the framework.

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