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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
4 months ago

Answers : (2)

Arun
23523 Points
							
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
4 months ago
Vikas TU
10078 Points
							
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

4 months ago
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