Question

f

Answer 1

is this the diagram for disc?

Answer 2

Yes,th disk and the sphere are on the same ramp

Answer 3

yeah i cant show it in the same diagram

Answer 4

now @Mashy will help you :p

Answer 5

hmmm use energy conservation and derive the expression for the speed at the bottom of the ramp..

initial energy = pure potential energy

final energy = pure kinetic energy of rotation + translation

i am assuming its rolling without slip/skid

Answer 6

yes

Answer 7

ok so do it step wise.. expression for potential energy and ke of rotation and translation i hope you know!

Answer 8

mgh=1/2mv^2+1/2iw^2

Answer 9

for the disk mgh=1/4mr^4v^2+1/2mv^2

Answer 10

for the sphere mgh+1/5mr^4v^2+1/2mv^2

Answer 11

exactly.. now calculate v..

Answer 12

vdisk=9.89

Answer 13

vsphere=9.89

Answer 14

is the v correct?

Answer 15

\[v = \sqrt{2gh/(i/MR ^{2}+1)}\]

Answer 16

i for disk = \[MR ^{2}/2\]

and i for sphere is \[2MR ^{2}/5\]

so substitue the values