Given:
• Length of beam = 7 m
,
• Mass of beam = 50 kg
,
• Mass of person = 60 kg
,
• Distance of the person from the left = 3.6 m
Let's find the tensions, T1 and T2.
First make a free body sketch:
Here, the net torque = 0.
To find the tension, T1, we have:
Where:
l = 7 m
mp = 60 kg
g is acceleration due to gravity = 9.8 m/s²
l1 = 3.6 m
mb = 50 kg
Thus, we have:
Therefore, the tension T1 = 530.6 N.
To find the tension T2, we have:
Thererfore the tension T2 = 547.5 N
• ANSWER:
T1 = 530.6 N
T2 = 547.4 N