A wooden block weighing 12 N is at rest ontop of a wooden desk. The coefficient

Question

A wooden block weighing 12 N is at rest ontop of a wooden desk. The coefficient of static friction betweenthe block and the desk is 0.43. Find theminimum horizontal force required to move the block if thefollowing occurs. (a) The block is being pressed into the surfacewith a 4 N force.
1 N

(b) The block is partially supported by a vertical string under atension of 2 N.
2 N (a) The block is being pressed into the surfacewith a 4 N force.
1 N

(b) The block is partially supported by a vertical string under atension of 2 N.
2 N

Explanation / Answer

a) Along the vertical direction we have                        N-F-mg = 0                      ==> N = F + mg = 2+9=11N       Along the horizontal direction            F = f= N=0.54*11=5.94N b)       Here             N = mg - T = 9 - 4 = 5N            F = f= N = 0.54*5N = 2.7N

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