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A block of mass 4kg is pressed against a wall by two perpendicular horizontal forces as shown in the figure. F1 is perpendicular to the wall and F2 is parallel to the wall. μs=0.8 , μk=0.5 and g=10 m/s2For F1=75 N and F2=30 N, the block remains at rest on the wall then the force of friction is

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a

30 N

b

40 N

c

50 N

d

45 N

answer is C.

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Detailed Solution

Given mass of block m=4 kgμs=0.8 ; μk=0.5 and g=10 m/s2 Limiting value of static friction is fL=μSN=0.8×75= 60 N, whereas resultant of forces on the plane of the wall i.e. weight =40 N and F2=30 N is 50 N . Hence friction will adjust its value at 50 N.

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A block of mass 4kg is pressed against a wall by two perpendicular horizontal forces as shown in the figure. F1 is perpendicular to the wall and F2 is parallel to the wall. μs=0.8 , μk=0.5 and g=10 m/s2For F1=75 N and F2=30 N, the block remains at rest on the wall then the force of friction is