Question

If the axis of rotation is parallel to the y-axis but at the center of the coil (with both sides l of the coil contributing), the torque 1. cannot be determined since the direction of the torque is changed. 2. is smaller than when the axis of rotation is on the edge of the coil. 3. None of these 4. is not affected. 5. is larger than when the axis of rotation is on the edge of the coil.

Answer 1

When the axis of rotation is parallel to the y-axis but at the center of the coil, the torque is smaller than when the axis of rotation is on the edge of the coil.

Step-by-step explanation:

When the axis of rotation is parallel to the y-axis but at the center of the coil, the torque is smaller than when the axis of rotation is on the edge of the coil. This is because the angle between the radius and the force is smaller when the axis is at the center, resulting in a smaller torque.

The torque is maximum when the angle between the radius and the force is 90°, which occurs when the axis of rotation is on the edge of the coil.

Answer 2

The torque is larger when the axis of rotation is at the center of the coil compared to the edge because the effective lever arm is longer, and the coil's sides contribute from both sides of the pivot.

Step-by-step explanation:

When the axis of rotation is parallel to the y-axis but located at the center of the coil, it changes the distribution of the coil relative to the pivot point, affecting the resulting torque. The torque in this scenario is larger than when the axis of rotation is on the edge of the coil because the effective lever arm is longer when the forces are applied equidistantly from the rotation axis (as it distributes the mass more effectively around the pivot). This can be understood by considering that torque (τ) is given by the product of the force (F) and the lever arm (r) and that torque is maximized when the force is applied perpendicular to the lever arm (at a 90° angle). As such, when the coil has sides contributing to the torque from both sides of the pivot, the effective lever arm length, and thus the torque, is greater compared to when the pivot is at the edge and the force is only on one side of the pivot.