Mechanics

A solid sphere rolling without slipping on a rough horizontal plane with linear speed u collids elastically , will the angular and linear speed be conserved during collission

Question image for A solid sphere rolling without slipping on a roug

muhammed anjoom

6 Years agoGrade

2 Answers

Arun

6 Years ago

when it collides with wall then its linear momentam get reversed but there is no change in angular speed ...

speed of center of mass is reversed ...

just after collision ,

angular momentam = mvr - Iw = -mur + 2mur/5 = -3mur/5

after a long time , total angular momentam = mvr + Iw

=mvr + 2mvr/5 = 7mvr/5

since angular mometam is conserved so

7mvr/5 = 3mur/5

v = 3u/7

u = 7 so

v = 3m/s

approve if u like my

Vikas TU

6 Years ago

Dear student

when it collides with wall then its linear momentam get reversed but there is no change in angular speed ...

speed of center of mass is reversed ...

just after collision ,

angular momentam = mvr - Iw = -mur + 2mur/5 = -3mur/5

after a long time , total angular momentam = mvr + Iw

=mvr + 2mvr/5 = 7mvr/5

since angular mometam is conserved so

7mvr/5 = 3mur/5

v = 3u/7

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A solid sphere rolling without slipping on a rough horizontal plane with linear speed u collids elastically , will the angular and linear speed be conserved during collission

muhammed anjoom

2 Answers

Arun

Vikas TU

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