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Mechanics

Physics

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 lowest 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 lowest point, normal to its length. immediately, after impact

PhysicsMechanics

Mechanics

Physics

$text A particular of mass end text m equals 5 text is moving with a uniform speed end text v equals 3 square root of 2 text in the XOY plane along the line end text Y equals X plus 4 T h e space m a g n i t u d e space o f space t h e space a n g u l a r space m o m e n t u m space o f space t h e space p a r t i c l e space a b o u t space t h e space o r i g i n space i s$

$text A particular of mass end text m equals 5 text is moving with a uniform speed end text v equals 3 square root of 2 text in the XOY plane along the line end text Y equals X plus 4 T h e space m a g n i t u d e space o f space t h e space a n g u l a r space m o m e n t u m space o f space t h e space p a r t i c l e space a b o u t space t h e space o r i g i n space i s$

PhysicsMechanics

Mechanics

Physics

A stone is whirled along a circle with a constant angular velocity and its angular momentum is L. If the radius of its circular path is halved while keeping the angular velocity same, its new angular momentum would be

A stone is whirled along a circle with a constant angular velocity and its angular momentum is L. If the radius of its circular path is halved while keeping the angular velocity same, its new angular momentum would be

PhysicsMechanics

Mechanics

Physics

A uniform rod of mass m and length 2l is rotating about an axis passing through its centre and perpendicular to its length. If is its angular velocity, its angular momentum about that axis is

A uniform rod of mass m and length 2l is rotating about an axis passing through its centre and perpendicular to its length. If is its angular velocity, its angular momentum about that axis is

PhysicsMechanics

Mechanics

Physics

$text A uniform circular disc of mass end text straight M text and radius end text straight R text rolls without slipping on a horizontal surface end text text If the velocity of its centre is end text v subscript 0 comma text then the total angular momentum of the disc about a fixed end text text point end text P text at a height end text 3 straight R divided by 2 text about the centre end text straight C text . end text$

$text A uniform circular disc of mass end text straight M text and radius end text straight R text rolls without slipping on a horizontal surface end text text If the velocity of its centre is end text v subscript 0 comma text then the total angular momentum of the disc about a fixed end text text point end text P text at a height end text 3 straight R divided by 2 text about the centre end text straight C text . end text$

PhysicsMechanics

Mechanics

Physics

A disc of mass m and radius R moves in the X-Y plane as shown in figure. The angular momentum of the disc about the origin O at the instant shown is

A disc of mass m and radius R moves in the X-Y plane as shown in figure. The angular momentum of the disc about the origin O at the instant shown is

PhysicsMechanics

Mechanics

Physics

A cube of mass ‘m’ and side ‘a’ moving along with a constant speed as shown in figure. The magnitude of angular momentum of cube about z-axis would be

A cube of mass ‘m’ and side ‘a’ moving along with a constant speed as shown in figure. The magnitude of angular momentum of cube about z-axis would be

PhysicsMechanics

Mechanics

Physics

$text Consider a body, shown in the figure, consisting of two identical balls, each of mass M end text text connected by a light rigid rod. If an impulse end text J equals M V text is imparted to the body at one of its ends, what would be end text i t s space a n g u l a r space m o t i o n$

$text Consider a body, shown in the figure, consisting of two identical balls, each of mass M end text text connected by a light rigid rod. If an impulse end text J equals M V text is imparted to the body at one of its ends, what would be end text i t s space a n g u l a r space m o t i o n$

PhysicsMechanics

Mechanics

Physics

$text A shell of mass "m' is projected with velocity end text v text at an angle end text 60 to the power of ring operator text to the horizontal. When it reaches the end text text maximum height, its angular momentum with respect to point of projection is end text$

$text A shell of mass "m' is projected with velocity end text v text at an angle end text 60 to the power of ring operator text to the horizontal. When it reaches the end text text maximum height, its angular momentum with respect to point of projection is end text$

PhysicsMechanics

Mechanics

Physics

Angular momentum of a solid sphere about its diameter is L. If it rotates about its tangent with the same angular velocity as that in the first case, now its angular momentum will be

Angular momentum of a solid sphere about its diameter is L. If it rotates about its tangent with the same angular velocity as that in the first case, now its angular momentum will be

PhysicsMechanics

Mechanics

Physics

$text A constant torque acting on a uniform circular disc changes its angular momentum from end text L text to end text fraction numerator 4 L over denominator 3 end fraction text in end text 2 text seconds. Then magnitude of the torque applied is end text$

$text A constant torque acting on a uniform circular disc changes its angular momentum from end text L text to end text fraction numerator 4 L over denominator 3 end fraction text in end text 2 text seconds. Then magnitude of the torque applied is end text$

PhysicsMechanics

Mechanics

Physics

$space A space t h i n space minus w a l l e d space p i p e space r o l l s space a l o n g space t h e space f l o o r. space W h a t space i s space t h e space r a t i o space o f space i t s space t r a n s l a t i o n a l space k i n e t i c space e n e r g y space t o space i t s space r o t a t i o n a l space k i n e t i c space e n e r g y space a b o u t space t h e space c e n t r a l space a x i s space p a r a l l e l space t o space i t s space l e n g t h space ?$

$space A space t h i n space minus w a l l e d space p i p e space r o l l s space a l o n g space t h e space f l o o r. space W h a t space i s space t h e space r a t i o space o f space i t s space t r a n s l a t i o n a l space k i n e t i c space e n e r g y space t o space i t s space r o t a t i o n a l space k i n e t i c space e n e r g y space a b o u t space t h e space c e n t r a l space a x i s space p a r a l l e l space t o space i t s space l e n g t h space ?$

PhysicsMechanics

Mechanics

Physics

$text A copper ball of mass end text straight m equals 1 kg text with a radius of end text straight r equals 10 cm text rotates with angular velocity end text omega equals 2 rad divided by straight s text about an axis passing through its centre. The work should be performed to increases the angular velocity of rotation of the end text text ball two fold is end text$

$text A copper ball of mass end text straight m equals 1 kg text with a radius of end text straight r equals 10 cm text rotates with angular velocity end text omega equals 2 rad divided by straight s text about an axis passing through its centre. The work should be performed to increases the angular velocity of rotation of the end text text ball two fold is end text$

PhysicsMechanics

Mechanics

Physics

A solid uniform disk of mass m and radius R is pivoted about a horizontal axis through its centre and a small body of mass m is attached to the rim of the disk. If the disk is released from rest with the small body, initially at the same level as the centre, the angular velocity when the small body reaches the lowest point of the disk is

A solid uniform disk of mass m and radius R is pivoted about a horizontal axis through its centre and a small body of mass m is attached to the rim of the disk. If the disk is released from rest with the small body, initially at the same level as the centre, the angular velocity when the small body reaches the lowest point of the disk is

PhysicsMechanics

Mechanics

Physics

$text A uniform rod of length end text l text is released from rest such that it rotates about a smooth pivot. The angular speed of the rod end text w h e n space space i t space b e c o m e s space v e r t i c a l space i s space$

$text A uniform rod of length end text l text is released from rest such that it rotates about a smooth pivot. The angular speed of the rod end text w h e n space space i t space b e c o m e s space v e r t i c a l space i s space$

PhysicsMechanics

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