T OR = + mg W OE = — mg Can we directly measure the Tension? Is it still equal to +mg? Why or why not? -x +y The x and y are just the components of the actual forces. This is why they’re drawn with dotted lines. You must ALWAYS draw components with dotted lines. F OA = ma
Trigonometry: deals with angles and sides of triangles Sine (sin ) Opposite over Hypoteneuse C osine (cos ) Adjacent over Hypoteneuse T angent (tan ) Opposite over A djacent Y = Opp. X =Adj. Hyp.
x adj y opp T S O HC A HT O A i p y o d y a p d n p p s j pn p j sin Ѳ = opp = y hyp T cos Ѳ = adj = x hyp T tan Ѳ = opp = y adj x Ѳ
X T cos Ѳ =x adj Y T sin Ѳ = y opp T S O HC A HT O A i p y o d y a p d n p p s j pn p j T sin Ѳ = y T cos Ѳ = x Ѳ
T OR = + mg W OE = — mg -x T cos Ѳ =x +y T sin Ѳ = +y ∑ F y = T sin Ѳ - mg = 0 ∑ F x = ma - T cos Ѳ = 0 F OA = ma
W OE = — mg Ѳ Ѳ T OR2 T OR1 In order for this box to just be hanging, what does the upward y component of the tension HAVE to be??
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