question_answer

A disc is rolling without slipping with angular velocity w, P and Q are two points equidistant from the centre C. The order of magnitude of velocity is:     

A)  \[{{V}_{Q}}>{{V}_{C}}>{{V}_{P}}\]

B)  \[{{V}_{P}}>{{V}_{C}}>{{V}_{Q}}\]

C)  \[{{V}_{P}}>{{V}_{C}},\,\,{{V}_{Q}}={{V}_{C}}/2\]

D)  \[{{V}_{P}}<{{V}_{C}}>\,\,{{V}_{Q}}\]

Correct Answer: B

Solution :

As we know that the velocity depends on the position of a point inside the body from point of contact O.             \[OP>OC>OQ\] \[{{V}_{P}}>{{V}_{C}}>{{V}_{Q}}\]