Can anyone please help me with this, i've been working on it for ages and still can't seem to get the answer for gamma:
Assume that the frame and coupler can be up to 500 units long and the other two up to 300 units long, and include these rules in your validation checks.
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Values available are the sides p, q, r, s and the crank angle θ. You can work out all coordinates easily once you know the rocker angle γ. This sequence of calculations can derive it:
1. Calculate d using the Cosine Rule in the lower triangle, since you know the opposite angle and the other two sides.
2. Calculate α using the Sine Rule.
3. Calculate β by applying the Cosine Rule to the upper triangle, re-arranging the formula to give the angle.
4. Obtain γ from the relation α + β + γ = 180°
I used the cosine and sine rule and pythagorus theorem but the final equations i get i get variables that are unknown.
This is what I have done so far to find the unknown angles:
d = (p^2 + q^2 -2pq cos(theta))^1/2
y = 180degress - alpha- beta
alpha = sin ^-1(q.sin(tetha)/d)
any help will be appreciated