7. Rod has a mass which follows a normal distribution M~N(40,1.52) g. Determine the distributions of reactions on the rod.

Solution

Since the rod mass follows the normal distribution M~N(0.04,0.00152) kg, we have

After known the distributions of  and , we have

Thus, the support distributions respectively as, NB ~ N(0.19, (7.2×10-3)2) N, Ax ~ N(0.14, (5.1×10-3)2) N and Ay ~ N(0.26, (1.6×10-2)2) N.                                                                                                          Ans.