how do we calculate the equilibrant if the upward force is 450N and the downward force is 750N acting on the same line?

SThe sum of forces has to be zero.

Upward-downward+Equilibrant=0

so Equilibriant=downward-Upward

if Equilibrant is +, it is upward, if it is negative, downward.

To calculate the equilibrant in a situation where there are two forces acting along the same line, one upward force (450N) and one downward force (750N), we need to find the difference between the two forces.

The equilibrant is essentially the force required to balance out the net force or cancel out the effects of the other forces. In this case, since we have an upward force and a downward force acting on the same line, we can say that the equilibrant will be the force needed to nullify their effects and achieve equilibrium.

To calculate the equilibrant, we need to find the difference between the magnitudes of the two forces. In this case, we subtract the smaller force from the larger one:

Equilibrant = Magnitude of the larger force - Magnitude of the smaller force

Equilibrant = 750N - 450N

Equilibrant = 300N

Therefore, the equilibrant in this situation is 300 Newtons. This means that a force of 300N in the opposite direction will be needed to balance out the effects of the upward force of 450N and the downward force of 750N.