Question

A traffic light of weight 100 N is supported by two ropes that make 30-degree angle with the horizontal. What is the vertical component of the tensions in each rope? A. 50N
B. 66N
C. 83N

Answer 1

Answer:

$T_{vertical} = 50 N$

Explanation:

given,

traffic light weight = 100 N

angle at which the rope is supported = 30°

vertical component of force = ?

$2 T sin \theta= W$

$2 T sin 30^0= 100$

$T = \dfrac{100}{2 sin 30^0}$

$T = 100\ N$

$T_{vertical} = T sin 30^0$

$T_{vertical} = 100\times \dfrac{1}{2}$

$T_{vertical} = 50 N$