Question

. In many applications a bolt is required to be tightened to a specific moment (torque), this is measured with a torque wrench. A bolt is located at the origin and is rotated so that the axis of rotation should be the z axis. A 0.5 m wrench is attached to the bolt at a 30◦ angle to the x axis such that

d = 0.86i + 0.25j + 0k

If the magnitude of the moment of the force at the bolt is required to be ∥M∥ = 100N·m, find the normal force (i.e. at right angles) applied at the handle of the wrench that will achieve this value.

Answer 1

If I understand your geometry the wrench is in the x y plane perpendicular to the z axis. In that case moment about the z axis due to force normal to the wrench = force * length * 1
or
F * 0.5 = 100