A box is pulled up a rough ramp that makes an angle of 22 degrees with the horizontal surface. The surface of the ramp is the x-

Question

3 years ago

8

A box is pulled up a rough ramp that makes an angle of 22 degrees with the horizontal surface. The surface of the ramp is the x-

plane.There is a free body diagram drawing on a block on a 22 degree incline with 5 force vectors. The first force is pointing up and parallel to the surface of the incline, labeled F Subscript T Baseline. The second force is pointing down and parallel to the surface of the incline, labeled F Subscript f Baseline = 14.8 N. The third force is pointing away from and perpendicular to the surface of the incline, labeled F Subscript N Baseline = 65 N. The fourth force is pointing into and perpendicular to the surface of the incline, labeled F Subscript g y Baseline. The fifth force is pointing straight down to the center of the earth, labeled F Subscript g Baseline = 70 N. There is another force parallel to the surface of the incline and down the hill starting at the tip of the F Subscript g y Baseline vector; it is labeled F Subscript g x Baseline.
What is the magnitude of the force of tension if the net force in the x direction of 98 N?

57 N

139 N

178 N

183 N

PLEASE EXPLAIN HOW YOU GOT ANSWER!

Physics

2 answers:

kifflom [539] · Answer 1 · 2022-06-10T05:02:19+03:00

Magnitude of the force of tension: 139 N

Explanation:

The surface of the ramp here is assumed to be the positive x-direction.

To solve this problem and find the magnitude of the force of tension, we have to analyze only the situation along the x-direction, since the force of tension lie in this direction.

There are three forces acting along the x-direction:

The force of tension, $F_T$ , acting up along the plane
The force of friction, $F_f=14.8 N$ , acting down along the plane
The component of the weight in the x-direction, $F_{gx}$ , acting down along the plane