A bedroom bureau with a mass of 42 kg, including drawers and clothing, rests on the floor. (a) If the coefficient of static friction between the bureau and the floor is 0.31, what is the magnitude of the minimum horizontal force that a person must apply to start the bureau moving(b) If the drawers and clothing, with 18 kg mass, are removed before the bureau is pushed, what is the new minimum magnitude?
N

a) 123.48N

b) 78.99N

Explanation:

EFy= 0 = N - W

Efxo= 0 = Fs,max - Fa

UsN - Fa

But N = mg

Substituting mg for W,in the above equation gives

Fa / Usmg

Fa= (0.31)× (42)× 9.8= 123.48N

b) Fa= (0.31)× (42-18)× 9.8

Fa= 0.31 × 26 ×9.8 = 78.99N

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