A uniform steel rod of 1 m in length is bent in a 90 degree angle at its mid point. Determine the position of centre of mass from the corners at bent.

Asked by sudhanshubhushanroy | 25th Oct, 2017, 08:56: PM

Expert Answer:

X and Y-co-ordinate of Centre of mass are given as
 
begin mathsize 12px style straight X equals fraction numerator straight m subscript 1 straight x subscript 1 plus straight m subscript 2 straight x subscript 2 over denominator straight m subscript 1 plus straight m subscript 2 end fraction end style
begin mathsize 12px style straight y equals fraction numerator straight m subscript 1 straight y subscript 1 plus straight m subscript 2 straight y subscript 2 over denominator straight m subscript 1 plus straight m subscript 2 end fraction end style
 
 
Assuming them on x and y-axis
 
 
Error converting from MathML to accessible text.
 
Error converting from MathML to accessible text.
 
Position vector from the corner =
equals straight L over 8 left parenthesis straight i plus straight j right parenthesis

Position space v e c t o r space m a g n i t u d e space from space corner space
equals space square root of open parentheses straight L over 8 close parentheses squared plus open parentheses straight L over 8 close parentheses squared end root
equals straight L over 8 square root of 2
 
 

Answered by Gajendra | 5th Dec, 2017, 07:13: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.