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Mashutka [201]
2 years ago
10

The two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Dete

rmine the magnitude of the resultant R of the two forces and the angle θ which R makes with the positive x-axis. The angle θ is measured counterclockwise from the positive x-axis.
Physics
1 answer:
Inessa05 [86]2 years ago
6 0

Answer:

R = 3.606 KN, θ = 24°

Explanation:

Resolving the forces to the x-direction

Rx = 3cos60 + 2cos30

= 1.5 + 1.732 = 3.232 KN

Resolving the forces to the y-direction

Ry = -3sin60 + 2sin30

= -2.6 + 1 = -1.6 KN

Getting the resultant of the two forces

R = \sqrt{Rx^2 + Ry^2}

Substituting the values of Rx and Ry, we obtain

R = 3.606 KN

tanθ = Ry/Rx = | -1.6/3.232 |

Then we have θ = 24°

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