I made into one single fraction of...
(mg + (Mmg/2m) - mg)/(1+(M/2m))
canceled out the mg's and multiplied the top by the reciprocal of the bottom...
Mmg/2m x 1/(1+(M/2m)) = Mmg/(2m +2Mm/2m)
Took out M from the denominator...
Mmg/(M(2m/M+1)
Which is equal to...
mg/(1+(2m/M))
Did i do...
It seems i missed some parentheses; it should be...
mg - m(g/(1+(M/2m))) = T*
T = mg/(1+(2m/M))*
And...
mg - mg/(1+(M/2m))
respectively
Does that change the approach?
I'm reading my physics textbook and the example has an equation of...
mg-m(g/(1+M/2m)) = T
manipulated so that it equals...
T = mg/(1+2m/M)
I'm not sure how to get this I tried to distribute the m to get...
mg - mg/(1+M/2m)
and multiplying mg by ((1+M/2m)/(1+M/2m)) but could not get the...