Posted by **Anonymous** on Sunday, February 24, 2008 at 2:06pm.

A box with a weight of 215 N rests on a ramp. There is a frictional force of 27 N exerted on the box directed up the ramp. If the ramp is inclined at 30 degrees, what force must be applied at an angle of 40 degrees to the ramp to maintain equilibrium?

Textbook Answer: 80.5 N and 105 N

Please explain thoroughly!

- Math: Dot Product -
**Quidditch**, Sunday, February 24, 2008 at 2:53pm
For equilibrium on the ramp, the sum of the forces parallel to the ramp must be 0. For a ramp inclined 30 degrees, the force component of the box parallel to the ramp is 215N * sin(30).

The frictional force is given as 27N up the ramp. Solve for the additional force up the ramp for equilibrium:

F=needed force for equilibrium

positive is up the ramp

-(215N * sin(30)) + 27N + F = 0

The value for F here is a force parallel to the ramp. If the equilibrium force is applied at an angle 40 degrees to the ramp, then solve for the value which has a component parallel to the ramp equal to the needed force above.

F2=force applied at 40 degrees to ramp

F = F2 * cos(40)

F was found above, solve for F2

## Answer this Question

## Related Questions

- physics - You are pushing a box up an inclined ramp. The force you exert on the ...
- physics - A wooden box with a mass of 10.0kg rests on a ramp that is inclined at...
- Phyiscs - A wooden box with a mass of 10.0kg rests on a ramp that is inclined at...
- Physics - A block is sitting on a rough ramp. It is found that a force of F = ...
- Physics - You want to push a 66-kg box up a 30° ramp. The coefficient of kinetic...
- physics - You want to push a 66-kg box up a 30° ramp. The coefficient of kinetic...
- Physics - You want to push a 66-kg box up a 30° ramp. The coefficient of kinetic...
- Phyics - A box of mass 14.0 kg sits on a horizontal steel ramp 4.8 m long with a...
- Physics - A box is being pushed up the ramp by you at a 15 degree angle. The ...
- physics - A box of mass 5.0 kg starting from rest slides down a 1.8 m long ramp ...