I have a rather straightforward Physics problem to solve, only I can't for the life of me simplify the answer to what it needs to be. What am I doing wrong?
The answer is in the form and it's a simplification of the information I provided here in the post.
I get as far as
The book plugs in
and simplifies to
How?
Hello again.
Just got to checking the textbook and unfortunately the question was to define in the terms and .
Cancelling out got me an answer with .
Edit:
if then what is ?
which is
Last edit: Thanks a lot. I see where I made a mistake in expanding. Learned a lot today. Merry Christmas.
Ahhh; well then, we need to get rid of your v1 (my v); the 2 equations:
v = mw / (m + M) [1]
mw^2 = mv^2 + Mv^2 + kd^2 [2]
square [1]: v^2 = m^2w^2 / (m + M)^2
rearrange [2]: v^2 = (mw^2 - kd^2) / (m + M)
m^2w^2 / (m + M)^2 = (mw^2 - kd^2) / (m + M)
m^2w^2 / (m + M) = mw^2 - kd^2
m^2w^2 = mw^2(m + M) - kd^2(m + M)
kd^2(m + M) = mw^2(m + M) - m^2w^2
kd^2(m + M) = mw^2(m + M - m)
kd^2(m + M) = mMw^2
d^2 = mMw^2 / (k(m + M))
d = wSQRT[mM / (k(m + M))] ........Merry Xmas!