Question

Suppose the same magnitude force is applied at the same point as in the example, and the torque is found to have the same magnitude but in the opposite direction of the torque found there. What are the components of the force?

Answer 1

-i - 7j

Explanation:

The computation of components of the force is shown below:-

torque T = r cross F

T = (4.00 i + 5.00 j + 0 k) X (1.00 i + 7.00 j)

Now we will cross multiplying vectorilly

T = 4 × (iXi) + 28 × (jXi) + 0 + 5 × (iXj)35 × (jXj) + 0

T = 4 × 0 + 28 × (-k) + 5 × (k) + 35 × 0

T = 28 × (-k) + 5 × (k) = -23k

net torque |T| = 23 N - m

direction >> negative k

Or Simply we can do by the below method

r × f

28 - 5 = 23 K

-i - 7j