Equilibrium of body - force acted at any angle, Mechanical Engineering

Equilibrium of body - force acted at any angle:

Magnitude of force 'p' which is required to move the body down the plane. When 'p' is acted with an angle of φ.

 

1985_Equilibrium of body - force acted at any angle.png

Resolving the forces which are Parallel to Plane OA:

PcosΦ  + µR - W.sin α  = 0                                                                                                                ...(i)

Resolving the forces which are Perpendicular to Plane OA:

R + PsinF   - W.cos α  = 0                                                                                                              ...(ii)

Putting value of 'R' from (ii) in equation (i) we get

P = W.[(sin  α  - µ.cosα  )/(cos  Φ- µ.sin Φ )]

Now putting µ = tan θ , on solving

P = W.[sin(α   -Φ )/cos(Φ + θ)]

Posted Date: 10/17/2012 7:32:36 AM | Location : United States







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