Question #193959

Resolve the component of the weight acting on a mass of 3kg that is parallel to a plane with an angle of 40 degrees. Show all working out


1
Expert's answer
2021-05-16T18:00:35-0400


Weight is a force with which a body is acting on the surface where it is resting. In our situation:


W=N,Ncos40°mg=0, N=W=mgcos40°=38 N.|W|=N,\\ N\cos40°-mg=0,\\\space\\ N=|W|=\frac{mg}{\cos40°}=38\text{ N}.

The components of weight:


Wx=Nsin40°=25 N.W_x=N\sin40°=25\text{ N}.

Wy=Ncos40°=29.4 N.W_y=N\cos40°=29.4\text{ N}.


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