Sunday

April 20, 2014

April 20, 2014

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

Textbook Answer: 80.5 N and 105 N

Please explain thoroughly!

- Math: Dot Product -
**Quidditch**, Sunday, February 24, 2008 at 2:53pmFor 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

**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 box is being pushed up the ramp by you at a 15 degree angle. The ...

physics - A Box (15.0 kg) is pulled up a 37 degree ramp with a force of 295 N. ...

physics - a box with mass 20kg rests on a frictionless ramp with a 15degree ...

physics - A 19.2-kg box rests on a frictionless ramp with a 16.1° slope. The ...

Physics - A 21.0-kg box rests on a frictionless ramp with a 15.1° slope. The ...

physics - A 22.0-kg box rests on a frictionless ramp with a 14.1° slope. The ...

physics - A box whose mass is 20 kg rests on a frictionless ramp with a 15 ...