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

`T_(vertical) = 50 N`

Step-by-step 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 = (100)/(2 sin 30^0)`

`T = 100\ N`

`T_(vertical) = T sin 30^0`

`T_(vertical) = 100* (1)/(2)`

`T_(vertical) = 50 N`