The maximun value of the applied force (F ) such that the block as shown in the arrangement does not move is (Acceleration due to gravity, (g=10 ~ms ⁻² ) )

Step-by-step solution

Applied force on the block on a horizontal surface, as shown in the figure, we have As we know that, force of friction, (f= R ) From the diagram, ( aligned & f= (W+F 60^ ) & F 60^ = 1 2 3 (10 3 +F 60^ ) & F 1 2 = 1 2 3 (10 3 +F 3 2 ) array l 60^ = 1 2 60^ = 3 2 array & F 2 = 1 2 3 3 (10+ F 2 ) & F 2 = 1 2 (20+F) 2 F= 20+F 20 & 2 F=20+F 2 F-F=20 & F=20 ~N aligned )