a block A of mass4 kg is placed on another block B of mass 5kg B rests on smooth table for sliding block A onB a horizontal force of 12 N is required to be applied on A how much max force can be applied on Bso that both A andB move together
1st case when the force is applied on the block A
then the total acceleration of both the block together is = Forces/mass = 12 /( 4+5)= 12/9 m/sec2
the pseudo accleating force on the block b must be balance by the frictional force between the blocks
therefore fricition for μ m1g = m2a = m2* 12/9
now is and force F ( maximum) is applied on the block B.
then acceleration of both blocks together is = Force / mass = F/ 9 meter per second square
the pseudo force on A must be balanced by the frictional force between the blocks .
μ m1g = m1a
μ m1g = m1F/9
μ m1g from earlier case
(12m2)/9 = m1F/9
F = 15 N