ex2 question pls help (1 Viewer)

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A particle of mass M is just about to slide up a plane, of inclination alpha to the horizontal under the action of an applied force of f (pull) that is inclined at an angle theta to the plane. If the static coefficeient of friction is μ , show that:

F=
1630742841703.png
 

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A particle of mass M is just about to slide up a plane, of inclination alpha to the horizontal under the action of an applied force of f (pull) that is inclined at an angle theta to the plane. If the static coefficeient of friction is μ , show that:

F=
View attachment 31929
Firstly resolving the frictional force gives you



Now since the particle is 'about to move' you can infer that the forces in the x direction of the plane sum to zero. Resolving the forces in that direction gives



Sub in the value for the frictional force and then just rearrange the equation which gives you



 

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how did you get the first two equations, sorry I am a bit lost
 

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