Given angle ∠ T2 ,
Given angle ∠ T1 ,
Given WEIGHT,
ANSWER: T-1 =
N,
ANSWER: T-2 = N,

∑Fx=0 , This symbol means adding all the forces along x-axis, it must be zero for equilibrium.
∑Fx = 0
T-2x +
T-1x = 0
T-2x + T-1x =
100% of Tension 2 (T-2) is also the same as 100% of hypotenuse. Written in decimal form is (1)T-2 , which is the hypotenuse from the free body diagram of forces.
Memory recall lesson learned about vector addition, the hypotenuse, is also called the resultant vector. It is the result of adding the horizontal vector force of T-2 and the vertical vector force of T-2.
We are only interested in finding what is the value of horizontal vector force of T-2.
To do that we recall our lesson learned in Trigonometry about definition of Cosine. Now we can find the value of horizontal vector force of T-2, which is the value of adjacent side (0.7071).
You do the same analysis for the rest of computation.
|
Given ∠ T2
, Cos of ° =
|
T-2x , adjacent side
T-2 , hypotenuse |
|
Given ∠ T1 , Cos of
° =
|
T-1x , adjacent side
T-1 , hypotenuse |
∑Fy=0 , This symbol means adding all the forces along y-axis, it must be zero for equilibrium.
∑Fy = 0
T-1y + T-2y + W = 0
T-1y + T-2y = W , Given Data
|
Given ∠ T2
, Sine of
° =
|
T-2y , Opposite side
T-2 , hypotenuse |
|
Given ∠ T1 , Sine of
° =
|
T-1y , Opposite side
T-1 , hypotenuse side |
ANSWER:
T-1
T-2
Formula Recall
Sine of angle = opposite side of angle divided by hypotenuse.
Cosine of angle = adjacent side of angle divided by hypotenuse
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