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A block is placed on an inclined plane of angle 37 .What must be the frictional force b/w block and incline if block is not to slide along incline when incline is accelerating to the right at 3 m/s2.

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Anirudh Kumar ·2009-08-12 19:39:58

let F be the pseudo force experienced by the block .
and F_k be the kinetic frictional force acting up the incline.

let m be the mass of the block
F = m *3
after the drawing the FBD

there is no motion perpendicular to incline

N + Fsin37Â° - mgCos 37Â° = 0

and along the incline

mg sin37Â° + Fcos 37Â° - F_k = 0
mg * 3/5 + 3*m *4/5 = F_k

F_k = m( 3*g+3*4)/5 = 42*m/5

is my answer correct?

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