Question

How do you solve this problem ?

Franklin and Dexter they are in an irregular field and to prevent the fragile objects they carry from breaking, they transport them in a box that they must drag horizontally.

what angle do you have to pull the box to follow this trajectory? Consider the data in the chart.

Answer 1

`60^@`

Explanation:

Imagine this is in a coordinate system and the dotted line is in the x direction.

In order for the box to stay on the dotted line, the forces in the y direction must be equal.

We can find these forces using the magnitude of the forces and the sine ratio.

`:.`

`125sqrt(3)sin(30)=125sin(x)`

`(125sqrt(3))/2=125sin(x)=>sinx=(125sqrt(3))/250=sqrt(3)/2`

`x=sin^-1sinx=sin^-1((sqrt(3))/2)=60^@`