Q.

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the center of the sphere and C is its topmost point. Then

Question Image

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

VC-VA=2VB-VC

b

VC-VA=2VB-VC

c

VC-VB=VB-VA

d

VC-VA=4VB

answer is B, C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

detailed_solution_thumbnail

Assuming positive x-direction along the moving direction 

VA=0,VB=ωr,VC=2ωr all are along the moving direction of the sphere 

Here VC-VB=VB-VA

VC-VA is towards the right and  VB-VC is towards left.

Hence,VC-VA=2VB-VC is incorrect

But considering the magnitude, VC-VA=2VB-VC is correct

VC-VA=2ωr=2VB

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon