Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics

Mechanics

Easy

Question

$A space c h i l d space i s space s tan d i n g space w i t h space h i s space t w o space a r m s space o u t s t r e t c h e d space a t space t h e space c e n t r e space o f space a space t u r n t a b l e space t h a t space i s space r o t a t i n g space a b o u t space i t s space c e n t r a l space a x i s space w i t h space a n space a n g u l a r space s p e e d space omega subscript 0 space. space N o w comma space t h e space c h i l d space f o l d s space h i s space h a n d s space b a c k space s o space t h a t space m o m e n t space o f space i n e r t i a space b e c o m e s space 3 space t i m e s space t h e space i n i t i a l space v a l u e. space T h e space n e w space a n g u l a r space s p e e d space i s$

$ω_{0}$
$\frac{ω_{0}}{3}$
$6 ω_{0}$
$\frac{ω_{0}}{6}$

The correct answer is: $omega subscript 0 over 3$

$H e r e comma I n i t i a l space a n g u l a r space s p e e d space omega subscript i equals omega subscript 0 text Initial moment of inertia =I end text subscript i text end text text Final moment of inertia I end text subscript text f end text end subscript text end text equals 3 straight I subscript straight i straight L subscript straight i equals straight L subscript straight f straight I subscript straight i straight omega equals straight I subscript straight f straight omega subscript straight f straight omega subscript straight f equals fraction numerator straight I subscript straight i straight omega subscript straight i over denominator straight I subscript straight f end fraction equals open parentheses straight I subscript straight i over straight I subscript straight f close parentheses straight omega subscript straight i equals open parentheses fraction numerator straight I subscript straight i over denominator 3 straight I subscript straight i end fraction close parentheses straight omega subscript straight i open parentheses because straight I subscript straight f equals 3 straight I subscript straight i close parentheses equals straight omega subscript straight i over 3 equals straight omega subscript 0 over 3 open parentheses because straight omega subscript straight i equals straight omega subscript 0 close parentheses$

Related Questions to study

$text A solid cylinder of mass end text 20 kg text and radius end text 20 cm text rotates about its axis with a angular speed end text 100 text rad end text s to the power of negative 1 end exponent. text The angular momentum of the cylinder about its axis is end text$

$text A solid cylinder of mass end text 20 kg text and radius end text 20 cm text rotates about its axis with a angular speed end text 100 text rad end text s to the power of negative 1 end exponent. text The angular momentum of the cylinder about its axis is end text$

PhysicsMechanics

$text A circular platform is mounted on a vertical frictionless axle. Its radius is end text r equals 2 m text and its moment end text text of inertia end text straight I equals 200 kgm squared text . It is initially at rest. A end text 70 kg text man stands on the edge of the platform and end text text begins to walk along the edge at speed end text v subscript 0 equals 1 ms to the power of negative 1 end exponent text relative to the ground. The angular velocity end text text of the platform is end text$

$text A circular platform is mounted on a vertical frictionless axle. Its radius is end text r equals 2 m text and its moment end text text of inertia end text straight I equals 200 kgm squared text . It is initially at rest. A end text 70 kg text man stands on the edge of the platform and end text text begins to walk along the edge at speed end text v subscript 0 equals 1 ms to the power of negative 1 end exponent text relative to the ground. The angular velocity end text text of the platform is end text$

PhysicsMechanics

$text A particle of mass end text 1 kg text is moving along the line end text straight y equals straight x plus 2 text (here end text straight x text and end text straight y text are in end text straight m text ) with speed end text 2 straight m divided by straight s text The magnitude of angular momentum of the particle about origin is: end text$

$text A particle of mass end text 1 kg text is moving along the line end text straight y equals straight x plus 2 text (here end text straight x text and end text straight y text are in end text straight m text ) with speed end text 2 straight m divided by straight s text The magnitude of angular momentum of the particle about origin is: end text$

PhysicsMechanics

parallel

$A space h o l l o w space s t r a i g h t space t u b e space o f space l e n g t h space l space a n d space m a s s space m space c a n space t u r n space f r e e l y space a b o u t space i t s space c e n t r e space left parenthesis f i x e d right parenthesis space o n space a space s m o o t h space h o r i z o n t a l space t a b l e. space A n o t h e r space s m o o t h space u n i f o r m space r o d space o f space s a m e space l e n g t h space a n d space m a s s space i s space f i t t e d space i n t o space t h e space t u b e space s o space t h a t space t h e i r space c e n t r e s space c o i n c i d e. space T h e space s y s t e m space i s space s e t space i n space m o t i o n space w i t h space a n space i n i t i a l space a n g u l a r space v e l o c i t y space omega subscript 0 space space. space T h e space a n g u l a r space v e l o c i t y space o f space t h e space r o d space a t space a n space i n s tan t space w h e n space t h e space r o d space s l i p s space o u t space o f space t h e space t u b e space i s colon$

$A space h o l l o w space s t r a i g h t space t u b e space o f space l e n g t h space l space a n d space m a s s space m space c a n space t u r n space f r e e l y space a b o u t space i t s space c e n t r e space left parenthesis f i x e d right parenthesis space o n space a space s m o o t h space h o r i z o n t a l space t a b l e. space A n o t h e r space s m o o t h space u n i f o r m space r o d space o f space s a m e space l e n g t h space a n d space m a s s space i s space f i t t e d space i n t o space t h e space t u b e space s o space t h a t space t h e i r space c e n t r e s space c o i n c i d e. space T h e space s y s t e m space i s space s e t space i n space m o t i o n space w i t h space a n space i n i t i a l space a n g u l a r space v e l o c i t y space omega subscript 0 space space. space T h e space a n g u l a r space v e l o c i t y space o f space t h e space r o d space a t space a n space i n s tan t space w h e n space t h e space r o d space s l i p s space o u t space o f space t h e space t u b e space i s colon$

PhysicsMechanics

The moment of inertia of a hollow sphere of mass M having internal and external radii R and 2R about an axis passing through its centre and perpendicular to its plane is

The moment of inertia of a hollow sphere of mass M having internal and external radii R and 2R about an axis passing through its centre and perpendicular to its plane is

PhysicsMechanics

Two circular loops A and B are made of the same wire and their radii are in the ratio 1:n.Their moments of inertia about the axis passing through the centre and perpendicular to their planes are in the ratio 1:m. The relation between m and n is

Two circular loops A and B are made of the same wire and their radii are in the ratio 1:n.Their moments of inertia about the axis passing through the centre and perpendicular to their planes are in the ratio 1:m. The relation between m and n is

PhysicsMechanics

parallel

Four thin metal rods, each of mass M and length L, are welded to form a square ABCD as shown in figure. The moment of inertia of the composite structure about a line which bisects rods AB and CD is

Four thin metal rods, each of mass M and length L, are welded to form a square ABCD as shown in figure. The moment of inertia of the composite structure about a line which bisects rods AB and CD is

PhysicsMechanics

Two rings of the same radius R and mass M are placed such that their centres coincide and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the common centre and perpendicular to the plane of one of the rings is

Two rings of the same radius R and mass M are placed such that their centres coincide and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the common centre and perpendicular to the plane of one of the rings is

PhysicsMechanics

A uniform circular disc of radius 'R' lies in the X-Y plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the X-axis at a distance x = 2R and perpendicular to the X-Y plane is equal to its moment of inertia about an axis passing through a point on the Y-axis at a distance y = d and parallel to the X-axis in the X-Y plane. The value of 'd' is

A uniform circular disc of radius 'R' lies in the X-Y plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the X-axis at a distance x = 2R and perpendicular to the X-Y plane is equal to its moment of inertia about an axis passing through a point on the Y-axis at a distance y = d and parallel to the X-axis in the X-Y plane. The value of 'd' is

PhysicsMechanics

parallel

A thin rod of length L and mass M is bent at the middle point O at an angle of 0 60 . The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

A thin rod of length L and mass M is bent at the middle point O at an angle of 0 60 . The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

PhysicsMechanics

Four identical solid spheres each of mass M and radius R are fixed at four corners of a light square frame of side length 4R such that centres of spheres coincide with corners of square. The moment of inertia of 4 spheres about an axis perpendicular to the plane of frame and passing through its centre is

Four identical solid spheres each of mass M and radius R are fixed at four corners of a light square frame of side length 4R such that centres of spheres coincide with corners of square. The moment of inertia of 4 spheres about an axis perpendicular to the plane of frame and passing through its centre is

PhysicsMechanics

A square plate of mass M and edge L is shown in figure. The moment of inertia of the plate about the axis in the plane of plate and passing through one of its vertex making an angle 15° with the horizontal is

A square plate of mass M and edge L is shown in figure. The moment of inertia of the plate about the axis in the plane of plate and passing through one of its vertex making an angle 15° with the horizontal is

PhysicsMechanics

parallel

A uniform rod AB of mass m and length L is at rest on a smooth horizontal surface . An impulse J is applied to the end B perpendicular to the rod is horizontal direction . Speed of point P at distance $L over 6$ from the centre towards A of the rod after time $t equals fraction numerator pi m L over denominator 12 J end fraction$ is

A uniform rod AB of mass m and length L is at rest on a smooth horizontal surface . An impulse J is applied to the end B perpendicular to the rod is horizontal direction . Speed of point P at distance $L over 6$ from the centre towards A of the rod after time $t equals fraction numerator pi m L over denominator 12 J end fraction$ is

PhysicsMechanics

Two particles each of mass m are attached at the ends of a massless rod of length L which is on a smooth table at rest. An impulse J is applied to one particle along a direction perpendicular to the length of the rod. Immediately after that , angular velocity of the rod would be

Two particles each of mass m are attached at the ends of a massless rod of length L which is on a smooth table at rest. An impulse J is applied to one particle along a direction perpendicular to the length of the rod. Immediately after that , angular velocity of the rod would be

PhysicsMechanics

A thin uniform rod of mass m and length L is force to rotate about its upper and when it is at rest , it receives an impulse J at its lower point , normal to its length , immediately, after impact

A thin uniform rod of mass m and length L is force to rotate about its upper and when it is at rest , it receives an impulse J at its lower point , normal to its length , immediately, after impact

PhysicsMechanics

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.