Question

 

 

Question 1 of 15

Please refer to the attached diagram, which shows a bar OA of length 3 m in an xyzcoordinate system. We draw two cords AB and AC such that points B and C are on the xy plane. The distances of the points B and C from the x and y axes are clearly marked.

Which of the following gives the correct coordinates of point A?

A.

A_x = 1.30 m; A_y = 2.60 m; A_z= -0.750 m

B.

A_x = -0.750 m; A_y = 1.30 m; A_z = 2.60 m

C.

A_x = 2.60 m; A_y = 1.30 m; A_z= -0.750 m

D.

A_x = -0.750 m; A_y = 2.60 m ; A_z = 1.30 m

E.

A_x =1.30 m; A_y = -0.750 m; A_z = 2.60 m

Question 2 of 15

Please refer to the attached diagram, which shows a bar OA of length 3 m in an xyzcoordinate system. We draw two cords AB and AC such that points B and C are on the xy plane. The distances of the points B and C from the x and y axes are clearly marked.

Which of the following gives the magnitudes of the position vectors r_AB and r_AC?

A.

r_AB = 2.60 m; r_AC = 2.97 m

B.

r_AB = 2.97 m; r_AC = 3.57 m

C.

r_AB = 1.30 m; r_AC = 2.60 m

D.

r_AB = 3.57 m; r_AC = 2.97 m

E.

r_AB = 3.57 m; r_AC = 2.60 m

Question 3 of 15

Please refer to the attached diagram, which shows a bar OA of length 3 m in an xyz coordinate system. We draw two cords AB and AC such that points B and C are on the xy plane. The distances of the points B and C from the x and y axes are clearly marked. Which of the following correctly gives the unit vectors uOA, uAB and uAC?

i)   u_AB: 0.491i + 0.477j-0.729k

ii) u_AC: -0.421i + 0.236j – 0.875k

iii) u_AO: -0.250i + 0.433j-0.867k

 

A.

iii) only

B.

ii) and iii)

C.

i) and ii) only

D.

All three are correct

E.

i) only

Question 4 of 15

Please refer to the attached diagram, which shows a bar OA of length 3 m in an xyzcoordinate system. We draw two cords AB and AC such that points B and C are on the xy plane. The distances of the points B and C from the x and y axes are clearly marked.

Which of the following correctly gives the angle between the cords AB and AC?

A.

57.0^o

B.

32.9^o

C.

28.5^o

D.

0.999^o

E.

47.0^o

Question 5 of 15

Please refer to the attached diagram, which shows a bar OA of length 3 m in an xyzcoordinate system. We draw two cords AB and AC such that points B and C are on the xy plane. The distances of the points B and C from the x and y axes are clearly marked.

Which of the following correctly gives the resultant force, Fr (in N), calculated from the magnitudes of force F_AB along the AB line and F_AC along the AC line - which are 100N and 200 N, respectively?

Answer 1