Chapter 4, Problem 34P

A crate of weight $W=100$ lb sits on a ramp oriented at 27 degrees relative to ground, as shown in Fig. P4.34. The free-body diagram showing the external forces is also shown in Fig. P4.34.

(a) Using the x-y coordinate system shown in fig. P4.34, write the Inc. lion force $\stackrel{\to }{F}$ and the normal force $\stackrel{\to }{N}$ in rectangular vector notation (ic,. in terms of unit vectors $\hat{i}$ and $\hat{j}$ ).

(b) Determine the values of F and N required for static equilibrium: in other words, find the values of F and N is $\stackrel{\to }{F}+\stackrel{\to }{N}+\stackrel{\to }{W}=0$.