Given the vector from the pivot point to the force and the magnitude of the force.

1.How would one find the angle of the force?
2.How would one find the torque?
3.How would one calculate the maximum/minimum torque?

Torque is F x R, where x denotes a cross product vector.

Depending upon the angle between the vectors, the maximum torque is F*R and the minimum toque is zero.

To find the angle of the force (θ) in relation to the vector from the pivot point, you can use the dot product formula between the two vectors.

1. Calculate the dot product of the two vectors:
- A dot B = |A| * |B| * cos(θ)
where A is the vector from the pivot point to the force and B is the vector from the pivot point to any reference point.

2. Solve for θ:
- θ = arccos((A dot B) / (|A| * |B|))

This will give you the angle of the force with respect to the vector from the pivot point.

To find the torque exerted by the force, you can use the cross product between the vector from the pivot point to the force (F) and the vector from the pivot point to the point of rotation (r).

3. Calculate the cross product of the two vectors:
- T = r × F
where T is the torque vector, r is the vector from the pivot point to the point of rotation, and F is the vector from the pivot point to the force.

The magnitude of the torque (|T|) represents how "twisting" or "turning" the force is around the pivot point.

To calculate the maximum/minimum torque, you need to consider the situation and the angles at which the force is applied.

- Maximum torque occurs when the force is perpendicular (or parallel) to the line connecting the pivot point and the point of rotation.
- In this case, |T| = |F| * |r|

- Minimum torque occurs when the force is perpendicular to the line connecting the pivot point and the point of rotation.
- In this case, |T| = 0

These calculations provide a general approach for finding the angle of the force, calculating torque, and determining the maximum/minimum torque based on the given vectors and magnitudes.