The magnitude of the resultant torque is 18 N·m
The magnitude of the resultant torque can be calculated by multiplying the mass of each object by the distance between their weights and the axis of rotation.
In this case, the 7 kg mass is located 2 meters from the axis of rotation, and the 4 kg mass is located 1 meter from the axis of rotation.
Therefore, the torque produced by the 7 kg mass is 7 kg * 2 m = 14 N·m, and the torque produced by the 4 kg mass is 4 kg * 1 m = 4 N·m.
To find the magnitude of the resultant torque, we add the torques produced by each mass: 14 N·m + 4 N·m = 18 N·m.
The probable question may be:
A 7 kg mass and a 4 kg mass are mounted on a spindle that is free to turn about the axis as shown. Assume the mass of the arms and the spindle to be negligible. The magnitude of the resultant torque is approximately