Evaluate resultant of the system - mechanics, Mechanical Engineering

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 ADetermine resultant of the system

1507_Determine resultant of the system.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

 

Posted Date: 10/17/2012 3:28:42 AM | Location : United States







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