Problem 42PE

A 76.0-kg person is being pulled away from a burning building as shown in Figure 4.41. Calculate the tension in the two ropes if the person is momentarily motionless. Include a free-body diagram in your solution.

Solution 42PE

Step 1 of 2

The tension in the two ropes can be calculated from the free body diagram as shown in the figure below.

Since,the person is momentarily motionless ,tension in the string is in static equilibrium. So,

the sum of all forces acting in x and y direction are zero.

and

Therefore, =

where, T1 and T2 are tension in the two ropes.

W = Weight of the person = m g

m = 75 kg

g = 9.8 m/s2