To solve this problem, we can use the concept of torque. Torque is a measure of the rotational force around an axis, and it is equal to the force applied multiplied by the distance from the axis to the point where the force is applied.
In this case, the crane arm is 16.0 m long, and the angle between the arm and the horizontal is 12.9°. We can use these values to calculate the distance from the axis of rotation to the point where the force is applied. To do this, we can use the trigonometric function sine.
sin(12.9) = opposite side / hypotenuse
distance from the axis = opposite side = (16.0 m) * sin(12.9)
To calculate torque we can use this formula:
torque = force * distance
Given that the maximum load the crane can handle is 737 N, we can substitute this value into the torque equation:
torque = 737 N * distance
maximum torque = 737 N * (16.0 m) * sin(12.9)
The unit of torque is N.m, so the answer will be in N.m