The jib crane is supported by a pin at Cand rod AB. The rod can withstand a maximum tension of 40 kN. If the load has a mass of 2000 kg, with its center of mass located at G. Determine its maximum allowable distance x and the corresponding horizontal and vertical components of reaction at C.

The maximum allowable distance = 5 m

Explanation:

Data:

There will be three forces on the jib. Let the forces be denoted as:

, and the force on pole AB

To find the angle AB makes with the horizontal beam:

The load has a mass of 2 000 kg then, the force will be:

F = mg, where g = 9.81 m/s²

  =

Breaking AB into its x and y coordinates:

Then,

∑ = 0

∑

∑

so the components of the forces will be 30 656.2 N and - 3 372.18 N

b. check your rearview mirror

explanation: