Question

A dump truck is at rest on a section of road that is at an angle of 5.00° to the horizontal. The truck's mass is 15500 kg. What force must the brakes exert to keep the truck from rolling down the sloped road?​

Answer 1

F = 13252.46 [N]

Step-by-step explanation:

To solve these types of problems we must make a free body diagram. Attached we cand find a diagram of this free body diagram with the forces acting on the truck, since the truck does not move it follows that it is in static equilibrium so the sum of the forces on the X and Y axes must be equal to zero.

In the free body diagram it is necessary to use a Force F, which prevents the truck from going downhill, the direction of this force must be opposite to the movement towards the downhill.

Thus performing a sum of forces on the X-axis equal to zero, we can find the Force F corresponding to the brakes of the truck.