HAIRY CENTRIPETAL FORCE PROVIDED BY..

t Bulb Kam When whirtest jeta a the cl of imntal le the necessary petal force for mining near motion.





frai

efer

New

tension n to string

mavelling nda crctar ricontat with un s ped il for vetting the the

in Te n g the curve. he

ima

hairy centripetal force provided by mi mo

wh the

to rain on the sects of harun the New Here the necessary centripetal force provided hy electrostatic force of attraction between positively charged nucleus and negatively

141

charged electron 5 Moon revolves and the earth in a circular orbit Here the necessary centripetal forces provided by gravitational force of attraction between moon and earth

Centrifugal force

We know that Newton's laws of motion are valid only in inertial frame of reference for those irames which are lised te earth moving with uniform velocity wreath

Consider a frictionless polished floor rotating with uniform angular velocity w about vertical axis Such a polished door rotating about vertical axis in horizontal plane is analogous to amusement at a fair or circus Suppose you and your friend reside on such a floor, which is initially arrest. As the floor begins to spin, you and your friend will notice a mysterious force that seems to tug you outward. Both of you are feeling that you simply are struggling against such a mysterious force, which is named a force 

cen

The motion of both you and your friend as observed by a stationary observer (Observer in inertial frame) from outside is a circular motion and both of you need real inward force to keep yourself in a circular path On the other hand for you and your friend on rotating floor (Observer in non inertial frame), there is an outward force The motion of

non inertial observer is an accelerated motion The frame of reference associated with non inertial observer is non inertial frame of reference in order to make Newton's laws of motion vahd in non inertial
frane of reference, we imagine a force called a is pseudo force. A force which does not re body, but appears due to acceleration of frame of reference is called pseudo force. The frame of reference associated with you and your friend tal Eal part in circular motion is called as non inertial ry accelerated) frame of the reference. Hence to make is Newton's laws of motion valid in circular motion (accelerated or non inertial frame of reference), we

In nut shell, centrifugal force is

ry on

of

imagine a pseudo force. Such a pseudo force imagined e in circular motion in order to make Newton's laws of motion valid is called a centrifugal force. pseudo force in U.C.M., is imagined in

order to make Newton's laws of motion valid in non inertial frame of reference. acting along the radius, but directed away from the centre of the circle.

Centrifugal force is a pseudo force in U.C.M. which acts along radius and directed away from

the centre of circle.

The magnitude of centrifugal force = mass x acceleration of reference frame

mv FCF = m = = mrco ...These are different forms of magnitude of
Examples Centrifugal Force

When car motion takes sudden turn towards passengers car experience an outward push to the right This is due to centrifugal force acting on the

Do

BA

bucket full water rotated during a great circle particular in order that water doesn't fall This because weight of water is balanced force working on it the youngsters sitting in merry go round

of a circular car not pos

experience outward pull as merry go round

rotates about vertical This is due to centrifugal force acting on children coin kept slightly away from the axis of rotation turn table move away from axis of rotation the speed of rotation of turn table increases. This is due to centrifugal force acting

the car radius

coin

The bulging of earth at equator and flattening at the poles due centrifugal force acting on it

washing machine consists of a with perforated As the cylindrical vessel rotated on wet This centrifugal force perforations, thereby

tyres

with

this particles.
centrifugal force. In vector notation

t Bulb Kam When whirtest jeta a the cl of imntal le the necessary petal force for mining near motion

frai

efer

New

tension n to string

mavelling nda crctar ricontat with un s ped il for vetting the the

in Te n g the curve. he

ima

hairy centripetal force provided by mi mo

wh the

to rain on the sects of harun the New Here the necessary centripetal force provided hy electrostatic force of attraction between positively charged nucleus and negatively

141

charged electron 5 Moon revolves and the earth in a circular orbit Here the necessary centripetal forces provided by gravitational force of attraction between moon and earth

Centrifugal force

We know that Newton's laws of motion are valid only in inertial frame of reference for those irames which are lised te earth moving with uniform velocity wreath

Consider a frictionless polished floor rotating with uniform angular velocity w about vertical axis Such a polished door rotating about vertical axis in horizontal plane is analogous to amusement at a fair or circus Suppose you and your friend reside on such a floor, which is initially arrest. As the floor begins to spin, you and your friend will notice a mysterious force that seems to tug you outward. Both of you are feeling that you simply are struggling against such a mysterious force, which is named a force 

cen

The motion of both you and your friend as observed by a stationary observer (Observer in inertial frame) from outside is a circular motion and both of you need real inward force to keep yourself in a circular path On the other hand for you and your friend on rotating floor (Observer in non inertial frame), there is an outward force The motion of

non inertial observer is an accelerated motion The frame of reference associated with non inertial observer is non inertial frame of reference in order to make Newton's laws of motion vahd in non inertial
frane of reference, we imagine a force called a is pseudo force. A force which does not re body, but appears due to acceleration of frame of reference is called pseudo force. The frame of reference associated with you and your friend tal Eal part in circular motion is called as non inertial ry accelerated) frame of the reference. Hence to make is Newton's laws of motion valid in circular motion (accelerated or non inertial frame of reference), we

In nut shell, centrifugal force is

ry on

of

imagine a pseudo force. Such a pseudo force imagined e in circular motion in order to make Newton's laws of motion valid is called a centrifugal force. pseudo force in U.C.M., is imagined in

order to make Newton's laws of motion valid in non inertial frame of reference. acting along the radius, but directed away from the centre of the circle.

Centrifugal force is a pseudo force in U.C.M. which acts along radius and directed away from

the centre of circle.

The magnitude of centrifugal force = mass x acceleration of reference frame

mv FCF = m = = mrco ...These are different forms of magnitude of
Examples Centrifugal Force

When car motion takes sudden turn towards passengers car experience an outward push to the right This is due to centrifugal force acting on the

Do

BA

bucket full water rotated during a great circle particular in order that water doesn't fall This because weight of water is balanced force working on it the youngsters sitting in merry go round

of a circular car not pos

experience outward pull as merry go round

rotates about vertical This is due to centrifugal force acting on children coin kept slightly away from the axis of rotation turn table move away from axis of rotation the speed of rotation of turn table increases. This is due to centrifugal force acting

the car radius

coin

The bulging of earth at equator and flattening at the poles due centrifugal force acting on it

washing machine consists of a with perforated As the cylindrical vessel rotated on wet This centrifugal force perforations, thereby

tyres

with

this particles.
centrifugal force. In vector notation
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