Question

A truck pulls boxes up an incline plane. The truck can exert a maximum force of `4,400 N`. If the plane's incline is `(5 pi )/8` and the coefficient of friction is `3/4`, what is the maximum mass that can be pulled up at one time?

Answer 1

Here
Force of gravitational pull along inclined plane + force of friction = Total maximum force
If maximum mass pulled = `mkg`
Force of gravitational pull along inclined plane `=mgsintheta`
force of friction `=mumgcostheta`

`mgsintheta +mumg costheta =4400`

`mxx9.8xx(sin(pi-5pi/8)+3/4xxcos(pi-5pi/8))=4400`
`mxx9.8xx(sin(3pi/8)+3/4xxcos(3pi/8))=4400`
`m=370.8kg`