Question

A rolling body is rolling without slipping on a moving plank Relation of $v$ and $v_{1}$ is ...A....
Here, A refers to

• A. $v_{1}-v=R \omega$
• B. $v_{1}+v=R \omega$
• C. $v_{1}+v=-R \omega$
• D. None of these

Answer 1

Answer: (A)

For pure rolling of sphere relative motion of point of contact of sphere and plank should be zero. For this the point of contact has a velocity equal to the velocity of plank. So, $v_{1}=v+R \omega$