AP EAMCET2016PhysicsLaws of Motion
A particle of mass m is suspended from a ceiling through a string of length L . If the particle moves in a horizontal circle of radius r as shown in the figure, then the speed of the particle is
Options
- Ar g L^2-r^2
- Bg r L^2-r^2
- Cr g L^2+r^2
- Dg r L^2+r^2
Correct answer
A. r g L^2-r^2
Step-by-step solution
From the diagram, aligned & T T = F_ Centripetal weight = m v^2 r 1 m g & = v^2 r g & Also, = t L^2-r^2 & v^2 r g = t L^2-r^2 & or, v=r g L^2-r^2 aligned