Apologies if this is in the wrong place, but could someone explain to me how I go about converting the sine-gordan equation with 2 double derivatives into one with a single derivative, or how I alter the rung-kutta algorithm to accommodate such a double derivative?
The relevant equations are:
γ=1/root(1-v2/c2)
t'=γt
x=γx'
The 6 years is measured from his frame of reference, you need to measure the distance in the same frame as well.
Let the driving force (weight of the hanging block-friction of the block on the surface)=the combined mass time acceleration. To solve for a.
mg-Mgu=(m+M)a.
The tension in the string should be the force required to drive the block on the surface against friction at a.
T=Ma+Mgu...