A disc is rolling, the velocity of its centre | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) For a disc rolling without slipping on a horizontal surface, the velocity of any point on the disc is the vector sum of the velocity of the centre

Vedclass · Accepted Answer

the velocity of highest point is $2 v_{cm}$ and point of contact is zero

Vedclass · Answer

(D) For a disc rolling without slipping on a horizontal surface, the velocity of any point on the disc is the vector sum of the velocity of the centre of mass $(v_{cm})$ and the tangential velocity due to rotation $(v_{rot} = R\omega)$.Since the disc is rolling without slipping, the velocity of the point of contact with the ground is zero, which implies $v_{cm} = R\omega$.At the highest point, the velocity is $v_{top} = v_{cm} + R\omega = v_{cm} + v_{cm} = 2v_{cm}$.At the point of contact, the velocity is $v_{contact} = v_{cm} - R\omega = v_{cm} - v_{cm} = 0$.Therefore, the velocity of the highest point is $2v_{cm}$ and the velocity of the point of contact is zero.

$A$ disc is rolling, the velocity of its centre of mass is $v_{cm}$. Which one will be correct?

Similar Questions

Which of the following statements is not correct?

$A$ circular disc rolls on a horizontal floor without slipping and the centre of the disc moves with a uniform velocity $v$. Which of the following values can the velocity of a point on the rim of the disc have?

$A$ solid sphere is moving on a horizontal plane. The ratio of its translational kinetic energy to its rotational kinetic energy is:

$A$ circular disc of mass $0.41 \ kg$ and radius $10 \ m$ rolls without slipping with a velocity of $2 \ m/s$. The total kinetic energy of the disc is ....... $J$.

$A$ solid circular disc of mass $50 \,kg$ rolls along a horizontal floor so that its center of mass has a speed of $0.4 \,m/s$. The absolute value of work done on the disc to stop it is . . . . . . $J$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module