Before you answer this, please write neatly. I have bad vision and have a hard t

Question

Before you answer this, please write neatly. I have bad vision and have a hard time reading sloppy hand writing. Thanks for the extra effort. -----The figure above shows an object (blue) on top of a wedge (gray) sitting on a scale (black). When the object is released, is slides down the slope of the wedge. What is the normal force of the scale on the wedge (this is the force the scale will read) as the mass slides down the slope? There is friction between the object and the wedge and between the wedge and the scale. The static friction between the wedge and the scale is large enough to keep the wedge from moving. The mass of the object is 2.6 kg. The mass of the wedge is 3.3 kg. The angle of the wedge is 17 degrees. The coefficient of kinetic friction between the object and wedge is 0.13. Give your answer in Newtons and to three significant digits.

Explanation / Answer

Fscale= Fwedge + Fblock =Fwedge+(Fnormal+Ffrictional)

the normal force of the scale on the wedge

Fscale=Mwedgeg + MblockgCos(o) + uMblockgCos(o)

Fscale=Mwedgeg+MblockgCos(o) (1+u)

Fscale=3.3*9.8+2.6*9.8*cos17*(1+0.13)

Fscale=59.87 N

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