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Physics

Mechanics

Easy

Question

$When space straight a space sphere space rolls space down space an space inclined space plane comma space then space identity space the space correct space statement space related space to space the space work space done space by space friction space force$

$The friction force does positive translational work$
$The friction force does negative rotational work$
$The net work done by friction is zero$
$All of these$

The correct answer is: $space The space net space work space done space by space friction space is space zero space$

Sol: In case of pure rolling on ground, net work done by friction =0

Related Questions to study

$text Two identical rings end text straight A text and end text straight B text are acted upon by torques end text tau subscript A text and end text tau subscript B text respectively. A is rotating end text a b o u t space a n space a x i s space p a s sin g space t h r o u g h space t h e space c e n t r e space o f space m a s s space a n d space p e r p e n d i c u l a r space t o space t h e space p l a n e space o f space t h e space r i n g. space straight B text is rotating about a chord at a distance end text fraction numerator 1 over denominator square root of 2 end fraction text times the radius from the centre of the ring. If end text t h e space a n g u l a r space a c c e l e r a t i o n space o f space t h e space r i n g s space i s space t h e space s a m e comma space t h e n space$

$text Two identical rings end text straight A text and end text straight B text are acted upon by torques end text tau subscript A text and end text tau subscript B text respectively. A is rotating end text a b o u t space a n space a x i s space p a s sin g space t h r o u g h space t h e space c e n t r e space o f space m a s s space a n d space p e r p e n d i c u l a r space t o space t h e space p l a n e space o f space t h e space r i n g. space straight B text is rotating about a chord at a distance end text fraction numerator 1 over denominator square root of 2 end fraction text times the radius from the centre of the ring. If end text t h e space a n g u l a r space a c c e l e r a t i o n space o f space t h e space r i n g s space i s space t h e space s a m e comma space t h e n space$

PhysicsMechanics

$text A box of mass end text 1 kg text is mounted with two cylinders each of mass end text 1 kg comma text moment of inertia end text 0.5 kgm squared a n d space r a d i u s space 1 m space a s space s h o w n space i n space f i g u r e comma space C y l i n d e r s space a r e space m o u n t e d space o n space t h e i r space c o n t r o l space a x i s space o f space r o t a t i o n space a n d space t h i s space s y s t e m space i s space p l a c e d space o n space a space r o u g h space h o r i z o n t a l space s u r f a c e comma space t h e space r e a r space c y l i n d e r space i s space c o n n e c t e d space t o space b a t t e r y space o p e r a t e d space m o t o r space w h i c h space p r o v i d e s space a space t o r q u e space o f space 100 n minus m space t o space t h i s space v space c y l i n d e r space v i a space a space b e l t space a s space s h o w n. space i f space s u f f i c i e n t space f r i c t i o n space i s space p r e s e n t space b e t w e e n space c y l i n d e r space a n d space h o r i z o n t a l space s u r f a c e space f o r space p u r e space r o l l i n g comma space f i n d space text acceleration of the vehicle in end text m over s squared. text (Neglect mass of motor, belt and other accessories of vehicle). end text$

$text A box of mass end text 1 kg text is mounted with two cylinders each of mass end text 1 kg comma text moment of inertia end text 0.5 kgm squared a n d space r a d i u s space 1 m space a s space s h o w n space i n space f i g u r e comma space C y l i n d e r s space a r e space m o u n t e d space o n space t h e i r space c o n t r o l space a x i s space o f space r o t a t i o n space a n d space t h i s space s y s t e m space i s space p l a c e d space o n space a space r o u g h space h o r i z o n t a l space s u r f a c e comma space t h e space r e a r space c y l i n d e r space i s space c o n n e c t e d space t o space b a t t e r y space o p e r a t e d space m o t o r space w h i c h space p r o v i d e s space a space t o r q u e space o f space 100 n minus m space t o space t h i s space v space c y l i n d e r space v i a space a space b e l t space a s space s h o w n. space i f space s u f f i c i e n t space f r i c t i o n space i s space p r e s e n t space b e t w e e n space c y l i n d e r space a n d space h o r i z o n t a l space s u r f a c e space f o r space p u r e space r o l l i n g comma space f i n d space text acceleration of the vehicle in end text m over s squared. text (Neglect mass of motor, belt and other accessories of vehicle). end text$

PhysicsMechanics

A thin wire of length L is bent into a circular wire of uniform linear density . When circular wire is in a vertical plane find the moment of inertia of loop about an axis BC, passing through centre of the loop and which makes an angle $theta$ with the tangent at the topmost point of the loop

A thin wire of length L is bent into a circular wire of uniform linear density . When circular wire is in a vertical plane find the moment of inertia of loop about an axis BC, passing through centre of the loop and which makes an angle $theta$ with the tangent at the topmost point of the loop

PhysicsMechanics

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As shown in figure, the hinges A and B hold a uniform 400 N door in place. the upper hinge supports the entire weight of the door. Find the resultant force exerted on the door at the hinges. The width of the door is h/2, where h is the distance between the hinges.

As shown in figure, the hinges A and B hold a uniform 400 N door in place. the upper hinge supports the entire weight of the door. Find the resultant force exerted on the door at the hinges. The width of the door is h/2, where h is the distance between the hinges.

PhysicsMechanics

$A space r i n g space o f space m a s s space M space a n d space r a d i u s space R space l i e s space i n space x minus y space p l a n e space w i t h space i t s space c e n t r e space a t space o r i g i n space a s space s h o w n. space T h e space m a s s space d i s t r i b u t i o n space o f space r i n g s space i s space n o n minus u n i f o r m space s u c h space t h a t space a t space a n y space p o i n t space P space o n space t h e space r i n g comma space t h e space m a s s space p e r space u n i t space text length is given by end text lambda equals lambda subscript 0 cos squared invisible function application theta text (where end text lambda subscript 0 text is a positive constant). Then the moment of inertia of end text t h e space r i n g space a b o u t space z minus space a x i s space i s$

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PhysicsMechanics

A ring of mass m and radius R is rolling down on a rough inclined plane of angle with horizontal. Plot the angular momentum of the ring about the point of contact of ring and the plane as a function of time.

A ring of mass m and radius R is rolling down on a rough inclined plane of angle with horizontal. Plot the angular momentum of the ring about the point of contact of ring and the plane as a function of time.

PhysicsMechanics

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A spool of mass M and internal and external radii R and 2R hanging from a rope touches a curved surface, as shown. A block of mass m placed on a rough surface inclined at an angle a with horizontal is attached with other end of the rope. The pulley is massless and system is in equilibrium. Find the coefficient of friction

A spool of mass M and internal and external radii R and 2R hanging from a rope touches a curved surface, as shown. A block of mass m placed on a rough surface inclined at an angle a with horizontal is attached with other end of the rope. The pulley is massless and system is in equilibrium. Find the coefficient of friction

PhysicsMechanics

Two point masses A of mass M and B of mass 4M are fixed at the ends of a rod of length l and of negligible mass. The rod is set rotation about an axis perpendicular to its length with a uniform angular speed. The work required for rotating the rod will be minimum when the distance of axis of rotation from the mass A is at

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PhysicsMechanics

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PhysicsMechanics

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PhysicsMechanics

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PhysicsMechanics

A homogeneous rod AB of length L and mass M is hinged at the centre O in such a way that it can rotate freely in the vertical plane. The rod is initially in horizontal position. An insect S of the same mass M falls vertically with speed V on point C, midway between the points O and B. Immediately after falling, the insect starts to move towards B such that the rod rotates with a constant angular velocity $omega$ .

If insect reaches the end B when the rod has turned through an angle of calculate V in terms of L

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If insect reaches the end B when the rod has turned through an angle of calculate V in terms of L

PhysicsMechanics

parallel

A homogeneous rod AB of length L and mass M is hinged at the centre O in such a way that it can rotate freely in the vertical plane. The rod is initially in horizontal position. An insect S of the same mass M falls vertically with speed V on point C, midway between the points O and B. Immediately after falling, the insect starts to move towards B such that the rod rotates with a constant angular velocity $omega$ .

Calculate angular velocity in terms of V and L

A homogeneous rod AB of length L and mass M is hinged at the centre O in such a way that it can rotate freely in the vertical plane. The rod is initially in horizontal position. An insect S of the same mass M falls vertically with speed V on point C, midway between the points O and B. Immediately after falling, the insect starts to move towards B such that the rod rotates with a constant angular velocity $omega$ .

Calculate angular velocity in terms of V and L

PhysicsMechanics

A man of mass 100 kg stands at the rim of a turn table of radius 2m, moment of inertia 4000 kg. The table is mounted on a vertical smooth axis, through its center. The whole system is initially at rest. The man now walks on table with a velocity 1 m/s relative to earth
Through what angle will it have rotated when the man reaches his initial position relative to earth

A man of mass 100 kg stands at the rim of a turn table of radius 2m, moment of inertia 4000 kg. The table is mounted on a vertical smooth axis, through its center. The whole system is initially at rest. The man now walks on table with a velocity 1 m/s relative to earth
Through what angle will it have rotated when the man reaches his initial position relative to earth

PhysicsMechanics

A man of mass 100 kg stands at the rim of a turn table of radius 2m, moment of inertia 4000 kg. The table is mounted on a vertical smooth axis, through its center. The whole system is initially at rest. The man now walks on table with a velocity 1 m/s relative to earth
Through what angle will the turn table have rotated when the man reaches his initial position on it

A man of mass 100 kg stands at the rim of a turn table of radius 2m, moment of inertia 4000 kg. The table is mounted on a vertical smooth axis, through its center. The whole system is initially at rest. The man now walks on table with a velocity 1 m/s relative to earth
Through what angle will the turn table have rotated when the man reaches his initial position on it

PhysicsMechanics

parallel

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