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balu736 [363]
3 years ago
10

Make M the subject (TRANSPOSITION)

Mathematics
2 answers:
Neporo4naja [7]3 years ago
8 0

Factor M on the right hand side:

I = M\left(\dfrac{R^2}{4}+\dfrac{l^2}{12}\right)

We can rewrite the parenthesis as

I = M\left(\dfrac{3R^2}{12}+\dfrac{l^2}{12}\right) \iff I = M\left(\dfrac{3R^2+l^2}{12}\right)

Now we can divide both sides by the parenthesis, and we have

I = M\left(\dfrac{3R^2}{12}+\dfrac{l^2}{12}\right) \iff I = M\left(\dfrac{3R^2+l^2}{12}\right) \iff I\left(\dfrac{12}{3R^2+l^2}\right) = M \iff M=\dfrac{12I}{3R^2+l^2}

Artemon [7]3 years ago
7 0

Answer:

M = \dfrac{12l}{3R^2+l^2}

Step-by-step explanation:

I = \dfrac{MR^2}{4}+\dfrac{Ml^2}{12}\Big|\cdot 12 \\ \\ 12l = 3MR^2+Ml^2 \\ \\ 12l = M(3R^2+l^2) \\ \\ M = \dfrac{12l}{3R^2+l^2}

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