1
GATE CE 2016 Set 1
+2
-0.6
The magnitudes of vectors P, Q and R are 100 kN, 250 kN and 150 kN, respectively as shown in the figure. The respective values of the magnitude (in kN) and the direction (with respect to the x-axis) of the resultant vector are
A
290.9 and 96.0°
B
368.1 and 94.7°
C
330.4 and 118.9°
D
400.1 and 113.5°
2
GATE CE 2016 Set 1
+2
-0.6
A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let RAh and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the vertical reaction at support A. Self- weight of the member may be ignored. Which one of the following sets gives the correct magnitudes of RAv, RBh and RAh ?
A
RAv = 0; RBh = $$\frac1{3} P;$$ and RAh = $$\frac2{3} P;$$
B
RAv = 0; RBh = $$\frac2{3} P;$$ and RAh = $$\frac1{3} P;$$
C
RAv = 0; RBh = $$\frac3{8} P;$$ and RAh = $$\frac{1.5}{8} P;$$
D
RAv = 0; RBh = $$\frac{1.5}{8} P;$$ and RAh = $$\frac{1.5}{8} P;$$
GATE CE Subjects
Construction Material and Management
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Engineering Mechanics
Transportation Engineering
Environmental Engineering
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Fluid Mechanics and Hydraulic Machines
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