Ch-1 

Practice problems 5:

2 number -Two force F1=F2 are applied on a circular body such that moment couple is 9Nm in a CWD. Calculate the radius of circular body 

Asked by amarjeetsingh0811.10sdatl | 19th May, 2020, 11:31: AM

Expert Answer:

Two forces F1 = F2 are applied on circular body. 
 
It is given that body rotates in the Clock wise Direction (CWD)
N o w comma space f r o m space d i a g r a m space i t space i s space c l e r space t h a t space f o r c e s space a r e space p a r a l l e l space t o space o n e space a n o t h e r space a n d space a r e space i n space o p p o s i t e space d i r e c t i o n. space
T h u s comma space t h e y space f o r m space a space c o u p l e. space
N o w comma space w e space k n o w comma space

M o m e n t space o f space c o u p l e space equals space F o r c e space cross times space p e r p e n d i c u l a r space d i s tan c e space b e t w e e n space t h e space t w o space f o r c e s space

M o m e n t space o f space c o u p l e space equals space 9 space N m space
F space equals space F 1 space equals F 2 space... space left parenthesis G i v e n right parenthesis space

H e n c e comma space

9 space equals space F space cross times space d i a m e t e r space space left parenthesis space d i a m e t e r space equals space 2 r right parenthesis space
T h u s comma space
9 equals space F space cross times 2 r space
therefore space r space equals fraction numerator space 9 over denominator F space cross times space 2 end fraction space.... left parenthesis 1 right parenthesis

T h e space v a l u e space o f space f o r c e space a p p l i e d space i s space m i s sin g space i n space t h e space q u e s t i o n. space

I f space t h e space v a l u e space o f space t h e space f o r c e space a p p l i e d space i s space k n o w n comma space t h e n space s u b s i t i t u t i n g space t h e space v a l u e space o f space f o r c e left parenthesis F right parenthesis space i n space e q u a t i o n space left parenthesis 1 right parenthesis space w e space w i l l space g e t space v a l u e space o f space r a d i u s space
o f space c i r c u l a r space b o d y. space

Answered by Shiwani Sawant | 19th May, 2020, 12:25: PM