diff options
Diffstat (limited to '1205/CH4/EX4.7/S_4_7.sce')
-rw-r--r-- | 1205/CH4/EX4.7/S_4_7.sce | 31 |
1 files changed, 31 insertions, 0 deletions
diff --git a/1205/CH4/EX4.7/S_4_7.sce b/1205/CH4/EX4.7/S_4_7.sce new file mode 100644 index 000000000..93142916c --- /dev/null +++ b/1205/CH4/EX4.7/S_4_7.sce @@ -0,0 +1,31 @@ +clc;
+
+m1=80;//kg mass of man
+m2=20;//kg, mass of ladder
+m=m1+m2;//kg
+g=9.81;//m/s^2 gravitational acceleration
+W=-m*g;//N, j
+
+//Equillibrium equations
+//At equillibrium +sum(F)=0, gives
+// Ay j+ Az k+ By k+ Bz k + W j + C k=0
+// i.e. (Ay + By +W)j+(Az+Bz+C)k=0
+//At equillibrium +sum(M_A)=0, sum (r*F)=0
+//1.2i*(By j + Bz k)+ (0.9 i -0.6 k)*(W j)+(0.6 i+3 j-1.2 k)*(C k)=0
+//By rules of vector product it can be simply written as
+//1.2Byk-1.2Bzj+0.9Wk+0.6Wi-0.6Cj+3Ci=0
+//i.e (3C+0.6W)i -(1.2Bz+0.6C)j +(1.2By+0.9W)k=0
+// Equating coeeficients of i, jand k to zero
+
+C=-0.6*W/3;//N
+Bz=-0.6*C/1.2;//N
+By=-0.9*W/1.2;//N
+
+printf(" Reaction At B is B= (%.0f) N j +(%.1f N)k\n",By,Bz);
+printf(" Reaction At C is C= (%.2f) N j\n",C);
+Ay=-W-By;//N
+Az=-C-Bz;//N
+
+
+printf(" Reaction At A is A= (%.0f) N j +(%.1f N)k \n",Ay,Az);
+
|