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# M1 force diagrams help

1. I'm finding it really difficult to start off even though I've drawn a diagram so any help would be greatly appreciated!

A stone that is modeled as a particle of mass m kg sits on a smooth slope of angle 60 to the horizontal, it is held at rest by a light inextensible string parallel to the slope that is fixed at point A at the top of the slope. The tension in the string is 8N. Find the mass of the particle and the size of the reaction force between the particle and the slope force, giving your answers to 3sf.
2. Hi chk scan below: try and do second part as shown in top right of scan = gd practice for u.

Hope this helps - if not sure, add post.
3. (Original post by xleo.norx)
I'm finding it really difficult to start off even though I've drawn a diagram so any help would be greatly appreciated!

A stone that is modeled as a particle of mass m kg sits on a smooth slope of angle 60 to the horizontal, it is held at rest by a light inextensible string parallel to the slope that is fixed at point A at the top of the slope. The tension in the string is 8N. Find the mass of the particle and the size of the reaction force between the particle and the slope force, giving your answers to 3sf.

You have 3 forces and the particle is at rest. Therefore the forces in any direction must cancel out. Unless you are particularly fond of solving simultaneous equations, I would resolve along and parallel to the slope.

Marking angles of 60 and 30 on your diagram you should be able to see that the component of the weight down the slope is mg sin 60, so 8 = mg sin 60.

Once you know m, consider forces perpendicular to the slope to work out R.

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