A disc of radius R is rolling without sliding on a horizontal surface at a constant speed of `v` (a) What is speed of points A and B on the vertical diameter of the disc ? Given `AB = (R)/(2)` (b) After what time, for the first time, speed of point A becomes equal to present speed (i.e., the speed at the instant shown in the figure) of point B?

A disc of radius R is rolling without sliding on a horizontal surface

1.	A disc of radius R is rolling without sliding on a horizontal surface at a constant speed of `v` (a) What is speed of points A and B on the vertical diameter of the disc ? Given `AB = (R)/(2)` (b) After what time, for the first time, speed of point A becomes equal to present speed (i.e., the speed at the instant shown in the figure) of point B?
Answer» Correct Answer - (a) `V_(A) = 2V, V_(B) = (3V)/(2)` (b) `t = (2R)/(V) cos^(-1) ((3)/(4))`

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