Question

2. The following is the free body diagram of the arm showing the vertical and horizontal components of the force exerted by the deltoid muscle measured in Newtons (N). Fv Fpeltoid FH o01m 0.1m 40N 025m The horizontal FH and vertical Fy components of the deltoid muscle force for the configuration shown above satisfy the following system of equations: Fv 0.22FH 0 0.10Fv 0.01F 0 a) Find Fy and Fu using the substitution method. (5 points) b) Write the system of equations in matrix form AF-B, where F= c) Find Fy and Fu using Cramer's Rule. Show all steps. (5 points) d) Find Fy and FH using the matrix algebra method. Perform all matrix computations by hand and show all steps. (5 points) . (5 points) Total Points: 20

Answer 1

) 6= 0.22 Fy 10-0.105t 0.01 Fy=0---(2) method: (a) Sulastitution Fs b.22 (0.22 ,) +0.01 FH-0 ID-0.10X F& 33.33 t 0.012 FH= 10 Fo=0.22xFH=0.22 x 8 183. 33 N 33.33 )N Ans R e(), we can Arite- Fr-0.22 FD3) frm e ), e cin cmite- O.10F-0.0I Fy= 10-4) a In matrix foms 0.227FF O.10-0 0 FH AF-B .. -0.22 1 Where A O 10 -0.0 10 Fv FH Cramer's mule A: det(A) -0 22 -0.012. 0-10 -0.01 -0.22 10 -0.01

A2- T.O Aplaying Krame's ule 2.2 +9 AI 183.33 N O.012 Ans) Ar FH &33.33 N O.012 AF B F A 6 -O.22 F - O-10 TH -O.00 -0.10 0.22 1 I0.0- 0.22 0.012 -0.10 0.22XI0 O.012 18 3.33 -2-/001) (1y0-012) N . 833.33 Fu (Aus FH