Under what conditions a body describes a motion of (a)translation (b)rotation

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Solution

Dear Student ,

$P u r e l y t r a n s l a t i o n a l m o t i o n o c c u r s w h e n e v e r y p a r t i c l e o f t h e b o d y h a s t h e s a m e i n s \tan \tan e o u s v e l o c i t y a s e v e r y o t h e r p a r t i c l e; t h e n t h e p a t h t r a c e d o u t b y a n y p a r t i c l e i s e x a c t l y p a r a l l e l t o t h e p a t h t r a c e d o u t b y e v e r y o t h e r p a r t i c l e i n t h e b o d y . P u r e l y r o t a t i o n a l m o t i o n o c c u r s i f e v e r y p a r t i c l e i n t h e b o d y m o v e s i n a c i r c l e a b o u t a \sin g l e l i n e . T h i s l i n e i s c a l l e d t h e a x i s o f r o t a t i o n . T h e n t h e r a d i u s v e c t o r s f r o m t h e a x i s t o a l l p a r t i c l e s u n d e r g o t h e s a m e a n g u l a r d i s p l a c e m e n t i n t h e s a m e t i m e .$

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