Engineering Mechanics - Equilibrium of a Particle - Discussion

Discussion :: Equilibrium of a Particle - General Questions (Q.No.1)

1. 

The joint O of a space frame is subjected to four forces. Strut OA lies in the x-y plane and strut OB lies in the y-z plane. Determine the force acting in each if the three struts required for equilibrium of the joint. Set = 45°.

[A]. F = 46.4 lb, R = 400 lb, P = 424 lb
[B]. F = 566 lb, R = 424 lb, P = 1000 lb
[C]. F = 11.3 lb, R = 424 lb, P = 577 lb
[D]. F = 1166 lb, R = 424 lb, P = 1000 lb

Answer: Option B

Explanation:

No answer description available for this question.

Rajudev said: (Mar 30, 2011)  
I can't understand.

Nikhil said: (Jun 17, 2011)  
How to solve?

Dilip said: (Jul 30, 2011)  
How to find angle for 300?

Aditya said: (Aug 3, 2011)  
Sum of force in z direction
-500 + p sin30 = 0
p=1000
sum of force in x direction
300 - r sin45 =0
r = 424.26
sum of force in y direction
p cos30 - r cos45 = f
f = 566.025

James Turner said: (Aug 10, 2011)  
How did you come up with the value of p ?

Vasu said: (Aug 27, 2011)  
Put sin30 value and calculate.

Ajinkya said: (Sep 28, 2011)  
Good calculation aditya. Thanks.

Srikanth said: (Oct 20, 2011)  
Good work aditya thanks.

Afiq said: (Feb 12, 2012)  
How to convert lb to newton?

Sanatan Singh said: (Mar 2, 2012)  
Why to convert the unit from lb to newton (N) when the answer required is in lb ?

Simple question just based on laws of static equilibrium.
Ex=0
Ey=0
Ez=0

Bikash said: (Mar 7, 2012)  
Sum of forces in a direction =0
taking
E Fx=0;
E Fy=0;
E Fz=0;

Solve it simple.

K.Vishnu said: (Nov 23, 2012)  
300=R*sin45
R=424
500=P*sin30
P=1000
And
F=P*cos30-R*cos45
F=1000*Sqrt3/2-424/sqrt2
F=566

Santosh Kumar Sahu said: (Apr 1, 2016)  
Good @Aditya, nice.

Chitti said: (Dec 15, 2016)  
Good job @Aditya.

Hari said: (Sep 20, 2017)  
Thanks @Aditya.

Raja said: (Nov 25, 2017)  
Thanks @Aditya.

Patience said: (May 17, 2018)  
Thank you for the explanation.

Post your comments here:

Name *:

Email   : (optional)

» Your comments will be displayed only after manual approval.