by Guest » Thu Dec 15, 2016 7:34 pm
Your equations seem right to me.
Next work out S from R and the weight of the wedge. You should get
0.8R+mg=S
Now you have 3 equations in 3 unknowns (R, S, a):
0.6R-0.5S = ma
4mg-R = 5m(0.6a)
0.8R+mg = S
You can solve these simultaneous equations to get the value of a = (3/16)g.
Hope this helped,
R. Baber.