Question

05. A blade held in a brace is used to tighten a screw at A. (1) Determine the forces exerted at B and C, knowing that these forces are equivalent to a force-couple system at A consisting of R=-(25 N)i + Ryj + Ryk and M -(13.5 N·m)i. (ii) Find the corresponding values of Ry and RGin What is the orientation of the slot in the head of the screw for which the blade is least likely to slip when the brace is in the position shown? (20 pts) 240 mm 150 mm

Answer 1

golution- Equi valance Dequides EF: R= 8+c (ov). → -(25N); + Ryi + Rq k > - Bk + (-citcy ¿zk) Equating the i coefficients 6r). Cz= 25N 1: - 25N= - Also, EMA : MA - rB/A + rc/AX C (-13-5 N-m) i - [0.24m)i+ (oi&m)3]× (-B)k +.(o.48m)ix [E(25N)i + Cyj + GżK] Equating coef ficients. (o.18m) B : - 13.5 N.m (OY) B= 75N (0:48m)Cy k: .0 - er) Cy =O co.2 ) (75N) - (0.480) Cz (OY) Cz = 37.5 N
em
B- -(75.0 N)k cs -(25.0 N) i +. (37.5 N)k egiüivalence we have for the Now of forces > (-25N); + Ry jt Rzk -) -(75N)k + [-25N) it (37.5 N)K] Equating coe fficients Ry Py =0 k: Rz Rz=-37.5N -75.+ 37.5 first Note that R= (-25N); -(37.5N)k. Thus , the able to Sweo is best the lateral toyce Rz. gesist cohen in the head of the slot the is veoti cal,