physics

mechanics

Easy

Question

$A space b o d y space m o v e s space w i t h space c o n s tan t space a n g u l a r space v e l o c i t y space o n space a space c i r c l e. space space M a g n i t u d e space o f space a n g u l a r space a c c e l e r a t i o n$

$C o n s \tan t$
$r ω^{2}$
$Z e r o$
$N o n e o f t h e a b o v e$

The correct answer is: $Z e r o$

$text cos end text to the power of negative 1 end exponent left parenthesis 1 divided by 3 right parenthesis space of 1em text (As end text omega equals text constant end text right parenthesis$

$A n space a e r o p l a n e space i s space f l y i n g space w i t h space a space u n i f o r m space s p e e d space o f space 100 space m divided by s space a l o n g space a space c i r c u l a r space p a t h space o f space r a d i u s space 100 space m. space space t h e space a n g u l a r space s p e e d space o f space t h e space a e r o p l a n e space w i l l space b e$

PhysicsMechanics

Mechanics

Physics

$I f space a space p a r t i c l e space c o v e r s space h a l f space t h e space c i r c l e space o f space r a d i u s space R space w i t h space c o n s tan t space s p e e d space t h e n$

PhysicsMechanics

Mechanics

Physics

$A space c y l i n d r i c a l space v e s s e l space p a r t i a l l y space f i l l e d space w i t h space w a t e r space i s space r o t a t e d space a b o u t space i t s space v e r t i c a l space c e n t r a l space a x i s. space space I t ’ s space s u r f a c e space w i l l$

PhysicsMechanics

Mechanics

Physics

$T h e space c e n t r i p e t a l space a c c e l e r a t i o n space i s space g i v e n space b y$

PhysicsMechanics

Mechanics

Physics

$A space c y c l e space w h e e l space o f space r a d i u s space 0.4 space m space c o m p l e t e s space o n e space r e v o l u t i o n space i n space o n e space s e c o n d space t h e n space t h e space a c c e l e r a t i o n space o f space a space p o i n t space o n space t h e space c y c l e space w h e e l space w i l l space b e$

PhysicsMechanics

Mechanics

Physics

$A space w h e e l space c o m p l e t e s space 2000 space r e v o l u t i o n s space t o space c o v e r space t h e space 9.5 space k m. space d i s tan c e. space t h e n space t h e space d i a m e t e r space o f space t h e space w h e e l space i s$

PhysicsMechanics

Mechanics

Physics

$A n u n b a n k e d c u r v e h a s a r a d i u s o f 1 divided by 2 m v squared equals m g l. T h e m a x i m u m s p e e d a t w h i c h a c a r c a n m a k e a t u r n i f t h e c o e f f i c i e n t o f s t a t i c f r i c t i o n i s 0.75 comma i s$

PhysicsMechanics

Mechanics

Physics

$A space p a r t i c l e space c o m e s space r o u n d space a space c i r c l e space o f space r a d i u s space 1 space m space o n c e. space T h e space t i m e space t a k e n space b y space i t space i s space 10 space s e c. space T h e space a v e r a g e space v e l o c i t y space o f space m o t i o n space i s space$

PhysicsMechanics

Mechanics

Physics

$A space b o d y space o f space m a s s space 100 space g space i s space r o t a t i n g space i n space a space c i r c u l a r space p a t h space o f space r a d i u s space r space w i t h space c o n s tan t space v e l o c i t y. space T h e space w o r k space d o n e space i n space o n e space c o m p l e t e space r e v o l u t i o n space i s space$

PhysicsMechanics

Mechanics

Physics

$T h e space a n g u l a r space v e l o c i t y space o f space a space p a r t i c l e space r o t a t i n g space i n space a space c i r c u l a r space o r b i t space 100 space t i m e s space p e r space m i n u t e space i s$

PhysicsMechanics

Mechanics

Physics

$T h e space a n g u l a r space s p e e d space o f space s e c o n d s space n e e d l e space i n space a space m e c h a n i c a l space w a t c h space i s$

PhysicsMechanics

Mechanics

Physics

$c a r space w h e n space p a s s e s space t h r o u g h space a space c o n v e x space b r i d g e space e x e r t s space a space f o r c e space o n space i t space w h i c h space i s space e q u a l space t o$

PhysicsMechanics

Mechanics

Physics

$F i n d space t h e space m a x i m u m space v e l o c i t y space f o r space s k i d d i n g space f o r space a space c a r space m o v e d space o n space a space c i r c u l a r space t r a c k space o f space r a d i u s space 100 space m. space T h e space c o e f f i c i e n t space o f space f r i c t i o n space b e t w e e n space t h e space r o a d space a n d space t y r e space i s space 0.2$

PhysicsMechanics

Mechanics

Physics

$A space s p h e r e space o f space m a s s space h equals fraction numerator 5 D over denominator 4 end fraction space i s space t i e d space t o space e n d space o f space a space s t r i n g space o f space l e n g t h space h equals fraction numerator 3 D over denominator 4 end fraction a n d space r o t a t e d space t h r o u g h space t h e space o t h e r space e n d space a l o n g space a space h o r i z o n t a l space c i r c u l a r space p a t h space w i t h space s p e e d space h equals D over 4. space T h e space w o r k space d o n e space i n space f u l l space h o r i z o n t a l space c i r c l e space i s$

PhysicsMechanics

Mechanics

Physics

$T h e space s e c o n d apostrophe s space h a n d space o f space a space w a t c h space h a s space l e n g t h space 6 space c m. space S p e e d space o f space e n d space p o i n t a n d space m a g n i t u d e space o f space d i f f e r e n c e space o f space v e l o c i t i e s space a t space t w o space p e r p e n d i c u l a r space p o s i t i o n s space w i l l space b e space space$

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$A space b o d y space m o v e s space w i t h space c o n s tan t space a n g u l a r space v e l o c i t y space o n space a space c i r c l e. space space M a g n i t u d e space o f space a n g u l a r space a c c e l e r a t i o n$

$C o n s \tan t$
$r ω^{2}$
$Z e r o$
$N o n e o f t h e a b o v e$

The correct answer is: $Z e r o$

$text cos end text to the power of negative 1 end exponent left parenthesis 1 divided by 3 right parenthesis space of 1em text (As end text omega equals text constant end text right parenthesis$

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