Question

A 1000 kg steel beam is sup-ported by the two ropes shown

in Figure 4. Each rope can support a maximum sustained tension of 5600 N. Do the ropes break?

FIGURE 4

Answer 1

Draw the free body diagram of the steel bar by resolving the tension in the ropes into components.

The free body diagram of the steel bar is shown below.

$C:\Users\mangadevi\Desktop\sabe.jpg$

Here, is the weight of the bar and is the tension in the rope.

If the net upward force acting on the rod is less than the weight of the rod, then the ropes will break.

Determine the net upward force on the steel bar.

Substitute for.

Thus, the net upward force on the steel bar is.

Determine the weight of the steel bar.

Here, is the mass of the bar and is the acceleration due to gravity.

Substitute for and for.

Thus, the weight of the bar is.

The net upward force on the bar is less than the weight of the bar. Therefore, the ropes will break.