Question

a suspension bridge cable is connected to its anchor at a 20 degree angle. calculate the vertical component force on the anchor by the cable. ​

Answer 1

The question is missing some parts. Here is the complete question.

A suspension bridge cable is connected to its anchor at a 20° angle. Find the vertical and horizontal component of the force on the anchor by the cable.

Answer:
`F_(x)=` 14095.4 N

`F_(y)=` 5130.3 N

Step-by-step explanation: The force applied to the anchor is not perpendicular to the horizontal plane. So, it can be decomposed into 2 components: a vertical component, which is on the y-axis, and a horizontal component, which is on the x-axis.

The force and its components forms a right triangle, so we can calculate the components by using trigonometric relations:

Horizontal

`cos(20)=(F_(x))/(F)`

`F_(x)=F.cos(20)`

`F_(x)=15,000(0.9397)`

`F_(x)=` 14,095.4 N

Vertical

`sin(20)=(F_(y))/(F)`

`F_(y)=Fsin(20)`

`F_(y)=` 15,000(0.3420)

`F_(y)=` 5,130.3 N

The vertical and horizontal components of force on the anchor by the cable are 5130.3 N and 14095.4 N, respectively.