Answer
Here,
m=4.5 lb
a=3g,
taking the summation of all forces along the z direction (upward),
we get
F - $F_{grav}$ = ma
so , F = ma + $F_{grav}$
putting values of the given quantities,
F = ma + mg
F = 3mg + mg
F = 4mg
applying conversion into lbf,
F= (4.5 lb)( 4$\times$ 32.2 ft/$sec^{2}$)( lbf/ (32.2 lb.ft/$sec^{2}$)) = 18 lbf
Work Step by Step
Here,
m=4.5 lb
a=3g,
taking the summation of all forces along the z direction (upward),
we get
F - $F_{grav}$ = ma
so , F = ma + $F_{grav}$
putting values of the given quantities,
F = ma + mg
F = 3mg + mg
F = 4mg
applying conversion into lbf,
F= (4.5 lb)( 4$\times$ 32.2 ft/$sec^{2}$)( lbf/ (32.2 lb.ft/$sec^{2}$)) = 18 lbf