A street lamp weighs 110 N. It is supported by two wires that form an angle of 100° with each other. The tensi?
A street lamp weighs 110 N. It is supported by two wires that form an angle of 100° with each other. The tensions in the wires are equal.
(a) What is the tension in each wire supporting the street lamp?
___________ N
(b) If the angle between the wires supporting the street lamp is reduced to 70°, what is the tension in each wire?
___________N
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for the equilibrium..
a.) summation of forces in y.. for T=T1=T2 and angle of wire with each other is 100, therefore 2(Tcos50)
110 = 2(Tcos50); divide both sides by 2
55 = Tcos50; divide both sides by cos50
T=85.56N
b.) for angle is reduced to 70, therefore 2(Tcos35)
110 = 2(Tcos35); divide both sides by 2
55 = Tcos35; divide both sides by cos35
T = 67.14N if angle from 100 reduced to 70