nahiii it was a typo...
d has s only...
A rolling sphere is rolling without slipping on a surface and no force other than force applied by surface and weight is acting on it. Match the column I with column II.
Column I
Column II
(a) Surface is horizontal
(p) Translational kinetic energy Is greater than rotational kinetic energy
(b) Surface is inclined and sphere is moving down
(q) Rotational kinetic energy is greater than translational kinetic energy
(c) Surface is inclined and sphere is going up
(r) Gravitation force performs work equal to negative of work done by friction
(d) Sphere is moving in a vertical circle inside a large hollow sphere
(s) Direction of friction force keeps changing
.....any sphere undergoin rolling motion under normal conditions the translational KE is 5/2 times rotational KE .......case d is an exception as there will be rotational KE about the center of hollow shere as well!!!!!!!!.................. and in hollow sphere friction dir keeps changin!!!!!!!
but not -ve of work done by gravity...
oh haan yaad aya...
main isiliye ni kii thi...
because yahan pe dono zero hai...
toh koi relation kaise ho sakta hai...
d has to hav an s as well surely!!!!!!! and how can it hav r ..... gravity performs non 0 work as the spere undergoes vertical disp. and hamara friction toh rollin mai hameesha 0 work karta hai lazy boy[3]!!!!!!
because gravity is performin 0 work becuz there is no y disp. (hoeizontal surface)...and also friction in any rollin body performs zero work !!!!!! so negative of 0 is also 0!!!!![1]
i had done a-p
b-p
c-p,r [yeh wrng hi hai.. ab pata chala... bad mistake]
d-q,r
a→r
surface is inclined and sphere is moving down, rotational kinetic energy is greater than translational kinetic energy.
when the sphere is moving up, translational kinetic energy is less than rotational kinetic energy.
when it is moving inside a large hollow sphere, direction of friction keeps changing
because in b,c gravity performs non zero work but friction in any rolling motion performs zero work ,,,,,,,
(a)...pr(r as work done by grav and friction are 0)
(b)...p..............
(c)...p..........
(d)..qs........