A large trunk with a mass of 75 kg is pulled along a woodenfloor by a force of 3

Question

A large trunk with a mass of 75 kg is pulled along a woodenfloor by a force of 320 N, applied at an angle of 28 degrees withthe horizontal. Find:
a. the horizontal component of the force; b. the vertical component of the force; c. the resultant normal force on the floor; and d. the coefficient of sliding friction. A large trunk with a mass of 75 kg is pulled along a woodenfloor by a force of 320 N, applied at an angle of 28 degrees withthe horizontal. Find:
a. the horizontal component of the force; b. the vertical component of the force; c. the resultant normal force on the floor; and d. the coefficient of sliding friction.

Explanation / Answer

Given:

m = 75 kg

F = 320 N

? = 28°

Find:

a) Fx

Fx= Fcos ?

   = 320 cos 28°

   = 282.54 N

b) Fy

Fy = Fsin ?

    = 320 sin 28°

    = 150.23 N

c) Fn

Fy= Fsin ? + Fn – W = 0

    Fn=W- Fsin ?

         = mg –150.23

         = (75 kg x 9.8m/s2)-150.23

          = 584.77 N

d) µk

Fx=Fs

µk = Fx/ Fn

     = 282.54 N/ 584.77 N

     = 0.48

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