An automobile engine has weight W(vector), whose magnitude is W= 2580 N. This en
ID: 1342422 • Letter: A
Question
An automobile engine has weight W(vector), whose magnitude is W= 2580 N. This engine is being postioned above an engine compartment, as Figure 5.5 illustrates. To position the engine, a worker is uisng a rope. Use Newton's second law to find both the horizontal and vertical component forces in term of W(vector), the tension of T(vector) 1 in the supporting cable, and the tension T(vector)2 in the positioning rope. Solve these equations to find T(vector)1 and T(vector)2
10.0 Ring 80.0 Figure 5.5. Positioning an engine in an engine compartmentExplanation / Answer
NET FORCE ALONG X-AXIS is
T2*sin(80) = T1 sin(10)
T2 = T1*0.176
along Y-axis
T1*cos(10) = T2*cos(80) + W
T1*0.984 = 0.176*T1*0.173 + W
(0.984-0.0304)*T1 = W = 2580
T1 = 2580/(0.984-0.0304)
T1 = 2705.53 N
T2 = 0.176*T1 = 476.17 N
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