When I got to the angular accleration part of the problem I could not get my answer to match the one provided in the book.
to find angular acceleration I used the equation.
alpha = (upper case omega) x (lower case omega)
= (4 rad/sk) x (-pi/4 i - 2.598 j - 1.5 k)
= -3.14145 j + 10.392 i
= 10.856 rad/s2
the book says it should be 11.44 rad/s2
Am I missing something, that seems a little big for a rounding error.
4 comments:
Remember that X and Y are changing with time, so there is a term that isn't zero which you've left off.
Remember that when you differentiate your w(o)sin(gamma)j and the k term, you will have 3 terms.
1) derivative with respect to w(o) and time
2) derivative with respect to gamma and time
3) derivative with respect to coordinate system (j and k) and time
dk/dt is zero; w(o)' = 0 and gamma'' = 0
I hope that helps!
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