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Q.

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/s2

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For 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

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Given mass of block  m=4 kg
μs=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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