Question

A triangular plate supports a 150-lb load. Determine the tension in cables BD and CD. What are the x, y, z components of the reaction at the ball-and-socket joint at A?

a) Tension BD, Tension CD, Ax, Ay, Az
b) Tension BD, Tension CD, Bx, By, Bz
c) Tension BD, Tension CD, Cx, Cy, Cz
d) Tension BD, Tension CD, Dx, Dy, Dz

Answer 1

A triangular plate supports a 150-lb load. Determine the tension in cables BD and CD, the x, y, z components of the reaction at the ball-and-socket joint at A is d) Tension BD, Tension CD, Dx, Dy, Dz

Step-by-step explanation:

To determine the tension in cables BD and CD, we first need to analyze the forces acting on the triangular plate. We can start by drawing a free-body diagram to visualize the forces.

Considering the equilibrium of forces in the x and y directions, we can set up equations:

In the x-direction: TCD*cos(60°) - TBD = 0

In the y-direction: TBD + TCD*sin(60°) - 150 lbs = 0

Solving these equations simultaneously will give us the tension in cables BD and CD.

To find the components of the reaction at the ball-and-socket joint at A, we can use the fact that the sum of forces in the x and y directions should be zero.

Therefore, the correct choice is (d) Tension BD, Tension CD, Dx, Dy, Dz.