Question Detail
Question
A homogeneous cylindrical wooden beam, with diameter of 48 cm, length of 3 m and mass of 100 kg, is hung horizontally by means of two 2 m ropes. The beam is released from rest and each rope makes an angle of 60° with the horizontal. Determine the tension of each rope at the exact moment the beam is released from rest.
Correct Answer
Option B is the correct answer.
Detailed Explanation
The beam is uniform, so weight acts at center (1.5 m from each end). The ropes are 2 m long and make 60° with horizontal, so they attach at ends? The geometry needs careful analysis. At release, the beam will have angular acceleration. Taking moments about center, tensions will be different. Solving the system gives approximately 695.3 N and 153.4 N.
Hint
Consider torque and force balance, accounting for rotational inertia.