Question

What force must be applied to the end of a rod along the x-axis of length 2.0 m to produce a torque on the rod about the origin of 8.0ˆkN·m?

a) 2.0 N
b) 4.0 N
c) 8.0 N
d) 16.0 N

Answer 1

The force required to produce a torque on the rod is 4000 N. None of the options are correct.

Step-by-step explanation:

To calculate the force required to produce a torque on a rod, we need to use the formula:

Torque = Force x Distance

Given that the torque is 8.0 kN·m and the distance is 2.0 m, we can rearrange the formula to solve for force:

Force = Torque / Distance

Substituting the given values, we have:

Force = 8.0 kN·m / 2.0 m = 4.0 kN

Since the answer choices are in Newtons (N), we need to convert kN to N. 1 kN is equal to 1000 N, so:

Force = 4.0 kN = 4.0 x 1000 N = 4000 N

Therefore, the force that must be applied to the end of the rod along the x-axis is 4000 N.