Calculating Box Mass Using Normal Reaction Force and Inclined Angle

[olee]

Homework Statement

A box is held at rest on a smooth slope. The slope is inclined at an angle of 18◦ to the
horizontal. Given that the normal reaction force between the box and the slope is 79 N, what
is the mass of the box?

Homework Equations

none

The Attempt at a Solution

well, i posted a relatively easy example but I'm finding it hard to resolve it. i know about this triangle

but I am not too sure when I'm meant to use it and how it works.

diagram annotated replies would be a real help.
thanks!

 

[tiny-tim]

A box is held at rest on a smooth slope. The slope is inclined at an angle of 18◦ to the horizontal. Given that the normal reaction force between the box and the slope is 79 N, what is the mass of the box?

How is it held at rest?

If the force holding it isn't parallel to the slope, it will alter the reaction force.

 

[olee]

well I am not too sure :S but that's the question

 

[tiny-tim]

ok, well let's assume that the force holding it is parallel to the slope.

Your diagram only shows how to resolve a force F into components along two perpendicular axes … it doesn't really help with this question.

You need a vector triangle or free body diagram showing the three forces on the box (weight, normal force, and holding force).

 

[Susanne217]

Answer deleted.

OP use Newtons law..

 

[tiny-tim]

Susanne, please don't give the answer.

 

[Susanne217]

Susanne, please don't give the answer.

There ;)