Question
Question: A particle is moving along AB at constant speed V. when it is at point P, as shown, its angular velo...
A particle is moving along AB at constant speed V. when it is at point P, as shown, its angular velocity about point O is 3 radian/second. If perpendicular distance of O from AB is 1 m, then its speed V is :

A
3/Ö2 m/s
B
6 m/s
C
3Ö2m/s
D
3Ö3 m/s.
Answer
6 m/s
Explanation
Solution
V^= Vcos 45o; r = 1m/sin450 = Ö2 m
w = V^/r
Ž 3 = V cos450/Ö2 Ž V = 6m/s