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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1 Answers
1let F be the pseudo force experienced by the block .
and Fk 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 + Fsin37° - mgCos 37° = 0
and along the incline
mg sin37° + Fcos 37° - Fk = 0
mg * 3/5 + 3*m *4/5 = Fk
Fk = m( 3*g+3*4)/5 = 42*m/5
is my answer correct?