Civil Engineering - UPSC Civil Service Exam Questions - Discussion

3. 

A horizontal rod AB carries three loads of 3.0 kg, 7.0 kg and 10.0 kg at distances of 2.0 cm, 9.0 cm and 15 cm respectively from A where it is hinged. Neglecting the weight of the rod, which is the point at which the rod will be balance ?

[A]. 10.95 cm form A
[B]. 11.25 cm from A
[C]. 12.55 cm from A
[D]. 13.25 cm form A

Answer: Option A

Explanation:

No answer description available for this question.

Varadharajan said: (Dec 2, 2013)  
Moment about A = (10X15+7X9+3X2) = 219.
Total Load = 10+7+3 = 20.
Eccentricity = 219/20 = 10.95 cm.

Prithviraj Suman said: (Jan 18, 2014)  
cg of a rod = moment from given point/weight of the rod.

cg = (3*2+7*9+10*15)/(10+7+3) = 10.95.

Prashant Deokar said: (Apr 22, 2014)  
The point of zero moment is in between 7 & 10kg loads .
Assuming plane xx at that portion from B.
Moment @xx+0.
.: 10x = 7(6-X)+3(13-X).

.: X = 10.95CM.

Muniwar Singh said: (Jan 25, 2015)  
Where bending moment is zero; if it is at the x-distance from 10 kg. Then.

3(13-x)+7(6-x) = 10 x.

Then x = 10.95 cm.

Sumit Pal said: (Mar 15, 2015)  
Balance point = Moment from a given point/Total load acting on road.

Balance point = (3*2)+(7*9)+(10*15)/(3+7+10).

= 10.95.

Ateeq said: (Nov 5, 2015)  
Eccentric = Total moment at A/Total loads = 3*2+7*9+10*15 = 219/20 = 10.95 cm.

Abdul Khan said: (Jan 1, 2016)  
No one has considered the moment of A reaction, please elaborate I didn't understood.

Rahul Jain said: (Jun 2, 2016)  
@Abdul Khan.

Point A is hinged that's why the moment about A is zero.

N.Srinivasan said: (Jun 9, 2016)  
They have found the Resultant force acting distance from A. So, the rod will balance where resultant force acting only that point.

Balaraju Dasarla said: (Dec 27, 2016)  
Balanced distance = summation of moments/summation of loads.
d = 219/20,
= 10.95.

Kannan G said: (Mar 20, 2017)  
The answer is 10.95 cm from A.

Explanation : The ratio of the moment about A to the total load.
Answer : 10.95cm.

Anbarasan Muthaiah Ap/Civil Star Lion Engineering said: (Jun 1, 2017)  
RESULTANT* FORCE DISTANCE OF RESULTANT ACT FROM SUPPORT = SUM OF MOMENT
R * x = M.
R = 3+7+10 = 20 KG.

SUM OF M ABOUT B = (3*2)+(7*9)+(10*15) =219 KG.cm.
219= 20x,
x = 219/20 = 10.95cm.

Abdelhamid said: (Jul 31, 2017)  
That's not complex+> explanation/blanced point which the point have equlibrim eq sum of force equla 0 force * (x-dis) = zero.

Ashok said: (Feb 17, 2018)  
At hinge point moment is zero. What is the reaction on that point?

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