Posted by **John** on Tuesday, April 24, 2012 at 3:00am.

I have this mechanics problem. Please help me solve it.

Rory, Aurora and Raoul are three lions fi ghting over a piece of meat of mass 12

kg.

Each lion exerts a horizontal pull. Rory pulls with a force of 800 N.

Aurora, who is 120degrees to Rory's right, exerts a force of 400 N.

Raoul is 140 degrees to Rory's left.

The meat accelerates in Rory's direction.

(a) Find the force which Raoul is exerting.

Thank you in advance.

- Mechanics problem - Newtons laws - resultant force -
**Jat**, Wednesday, April 25, 2012 at 5:10am
Let F-Raoul be the force exerted by Raoul.

Consider the direction perpendicular to Rory's direction,

There is no nett force in that direction as there is no movement along it.

F-Raoul Cos(40º) = 400 N * Cos(60º) ------> F-Raoul = 261 N

Nett force in Rory's direction = 800 N - 261 N * Sin(40º) - 400 N * Sin(60º).

You just apply F = m*a to find the acceleration.

- Mechanics problem - Newtons laws - resultant force -
**smart guy**, Sunday, May 13, 2012 at 2:36am
In the case of resolving the force perpendicular to Rory's direction, isnt it suppose to be F-Raoul cos(50º) = 400 cos(30º) ?

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