Evaluate resultant of the system:
Q: Figure given below shows two vertical forces and couple of moment 2000 Nm acts on horizontal rod, which is fixed at end A. Determine resultant of the system
![1507_Determine resultant of the system.png](https://www.expertsmind.com/CMSImages/1507_Determine%20resultant%20of%20the%20system.png)
Resultant of the system
V = -4000 + 2500 = -1500N
R = ( ∑V2)1/2
= 1500N (acting downwards)
for finding the position of the resultant, apply varignon's theorem here
i.e Moment of resultant = sum of moment of all the forces about any point. Let from point A, and distance of resultant is 'd' m from A
R.d = 4000 × 1 + 2000 - 2500 × 2.5 -1500 × d = -250 d = 0.166 m from point A
(ii) Equivalent system through A
Equivalent system consists of:
1. A single force R passing through given point, and
2. A single moment ( ∑M) Where,
R = the resultant of all force acting on the body
∑M = Sum of all moments of all the forces about point A. Therefore single force is = 1500 N; and couple = 250 Nm