Two snowmobiles are pulling a third snowmobile each exerting a force of 3 kN at

Question

Two snowmobiles are pulling a third snowmobile each exerting a force of 3 kN at the attached point at A. The maximum combined force that the two cables can exert on the attachment to the third snowmobile in any direction is 5 kN. Assume 0 less than equal tp alpha less than equal to 90°.
Determine the range of alpha before the 5 kN is exceeded

a)by means of a graphic solution and
b) using trigonometry (sine and/or cosine rule)

ment pnt at A. LhC ment to the third snowmobile in any direction is 5 AN. Assumé tHI the range of before the 5 kN is exceeded: By means of a graphical solution, and Using a trigonometry (sine and'or cosine rule).

Explanation / Answer

Here ,

for the maximum angle = alpha

as T * cos(alpha/2) = 5 kN

2 * 3 * cos(alpha/2) = 5

cos(alpha/2) = 0.833333

slpha/2 = 33.6

alpha = 67.1 degree

the range of alpha is 0 to 67.1 degree

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