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physics

mechanics

Easy

Question

$text A bar of mass 'm' length 'l' in pure translator motion with its centre velocity " end text straight v text '. It collides with another identical end text text bar which is in rest and sticks to it. Assume that after the collision it becomes one system, then the angular velocity of the end text text system after the collision is end text$

$\frac{1}{5} \frac{v}{l}$
$() \frac{2}{5} \frac{v}{l}$
$\frac{3}{5} \frac{v}{l}$
$\frac{v}{l}$

The correct answer is: $\frac{3}{5} \frac{v}{l}$

$text Conservation of angular momentum of combined system about centre of mass of the system end text m g ell over 4 equals I subscript c o m end subscript omega equals 10 over 24 m ell squared omega not stretchy rightwards double arrow space of 1em omega equals 3 over 5 v over ell$

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$text A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical end text text axle through the centre of the disk. The platform has a mass of end text 150 kg comma text a radius of end text 2.0 straight m comma text and end text straight a text rotational inertia of end text 300 kgm squared text about the axis of rotation. A end text 60 kg text student walks slowly from the rim of the platform end text text towards the centre. If the angular speed of the system is end text 1.5 rad divided by straight s text when she is end text 0.50 straight m text from the centre? end text$

$text A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical end text text axle through the centre of the disk. The platform has a mass of end text 150 kg comma text a radius of end text 2.0 straight m comma text and end text straight a text rotational inertia of end text 300 kgm squared text about the axis of rotation. A end text 60 kg text student walks slowly from the rim of the platform end text text towards the centre. If the angular speed of the system is end text 1.5 rad divided by straight s text when she is end text 0.50 straight m text from the centre? end text$

PhysicsMechanics

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$text A puck of mass end text m equals 50.0 straight g text is attached to a taut cord passing through a small hole in a frictionless, horizontal end text text surface(fig). The puck is initially orbiting with speed end text v subscript i equals 1.50 straight m divided by straight s text in a circle of radius end text r subscript i equals 0.30 straight m. text The cord is then end text text slowly pulled from below, decreasing the radius of the circle to end text r equals 0.10 straight m text . The puck's speed at the smaller radius is end text$

$text A puck of mass end text m equals 50.0 straight g text is attached to a taut cord passing through a small hole in a frictionless, horizontal end text text surface(fig). The puck is initially orbiting with speed end text v subscript i equals 1.50 straight m divided by straight s text in a circle of radius end text r subscript i equals 0.30 straight m. text The cord is then end text text slowly pulled from below, decreasing the radius of the circle to end text r equals 0.10 straight m text . The puck's speed at the smaller radius is end text$

PhysicsMechanics

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In previous problem, the angular momentum of the projectile about the origin when it just before hits the ground should be

In previous problem, the angular momentum of the projectile about the origin when it just before hits the ground should be

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$text A projectile of mass end text straight m text is launched with an initial velocity end text v with not stretchy rightwards arrow on top subscript i text making an angle end text theta text with the end text text horizontal as shown in figure. The projectile moves in the gravitational field of the Earth. The end text text angular momentum of the projectile about the origin when it is at the highest point of its end text text trajectory is end text$

$text A projectile of mass end text straight m text is launched with an initial velocity end text v with not stretchy rightwards arrow on top subscript i text making an angle end text theta text with the end text text horizontal as shown in figure. The projectile moves in the gravitational field of the Earth. The end text text angular momentum of the projectile about the origin when it is at the highest point of its end text text trajectory is end text$

PhysicsMechanics

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A uniform solid disk of mass m=3.0 kg and radius r=0.20 m rotates about a fixed axis perpendicular to its face with angular frequency 6 rad/s. The magnitude of the angular momentum of the disk when the axis of rotation passes through a point midway between the centre and the rim is

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$text A man stands on a rotating platform with his arms stretched holding a end text 5 kg text weight in each end text text hand. The angular speed of the platform is 1.2revs end text to the power of negative 1 end exponent text . The moment of inertia of the man together end text text with the platform may be taken to be constant and equal to end text 6 kgm squared text . If the man brings his arms end text c l o s e space t o space h i s space c h e s t space w i t h space t h e space d i s tan c e space n space e a c h space w e i g h t space f r o m space t h e space a x i s space c h a n g i n g space f r o m space 100 space c m space t o space 20 c m. space T h e space n e w space a n g u l a r space s p e e d space o f space t h e space p l a t f o r m space i s$

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PhysicsMechanics

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PhysicsMechanics

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$text Two discs of moments of inertia end text I subscript 1 text and end text I subscript 2 text about their respective axes, rotating with angular end text text frequencies, end text omega subscript 1 text and end text omega subscript 2 text respectively, are brought into contact face to face with their axes of end text text rotation coincident. The angular frequency of the composite disc will be A end text$

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PhysicsMechanics

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PhysicsMechanics

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

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PhysicsMechanics

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

PhysicsMechanics

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$text A particle of mass m moves in the end text xy text -plane with a velocity of end text v with not stretchy rightwards arrow on top equals v subscript x i with not stretchy hat on top plus v subscript y j with not stretchy hat on top. text When its position end text text vector is end text r with not stretchy rightwards arrow on top equals x i with not stretchy hat on top plus y j with not stretchy hat on top comma text the angular momentum of the particle about the origin is end text$

$text A particle of mass m moves in the end text xy text -plane with a velocity of end text v with not stretchy rightwards arrow on top equals v subscript x i with not stretchy hat on top plus v subscript y j with not stretchy hat on top. text When its position end text text vector is end text r with not stretchy rightwards arrow on top equals x i with not stretchy hat on top plus y j with not stretchy hat on top comma text the angular momentum of the particle about the origin is end text$

PhysicsMechanics

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$text For a particle of a mass end text 100 gm text , position and velocity at any instant are given as end text 10 i with not stretchy hat on top plus 6 j with not stretchy hat on top cm text and end text straight v with not stretchy rightwards arrow on top equals 5 straight i with not stretchy hat on top cm divided by straight s text . Calculate the angular momentum about the point end text left parenthesis 1 comma 1 right parenthesis cm.$

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PhysicsMechanics

Mechanics

Physics

Consider an isolated system moving through empty space. The system consists of objects that interact with each other and can change location with respect to one another. Which of the following quantities can change in time?

Consider an isolated system moving through empty space. The system consists of objects that interact with each other and can change location with respect to one another. Which of the following quantities can change in time?

PhysicsMechanics

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