Flag Mechanics> a ball rolls without slipping. the radius...
question mark

a ball rolls without slipping. the radius of gyration of the ball about an axis passing through its centre of mass is k. if radius of the ball be R then fraction of total energy associated with its rotational energy in terms of k and R is what???
i didnt understand the question so will u plzzz explain??😄

Sayani , 7 Years ago
Grade 11
anser 1 Answers
Arun

Last Activity: 7 Years ago

Moment of inertia = I= MK²

1. ball is a solid sphere
I= 2/5 MR²
 rotational KE= 1/2w²= 1/2 MK²w²

total energy= 1/2 Iw² +1/2 Mv²

rolling, without slipping
v= Rw
total energy= 1/2 Iw² +1/2 MR²v²
1/2 MK²w² + 1/2 MR²w²
w²M/2= (K² + R²)

Fraction of total Energy associated with KE
1/2MK²w² divided by w²M/2 (K²+R²) = 
K²/ (K²+ R²)

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments