MHT CET20227 Aug 2022Morning ShiftPhysicsLaws of MotionActual
When the bob of mass ' m ' moves in a horizontal circle of radius ' r ' with uniform speed ' v ' having length of string ' L ' describes a cone of semi vertical angle ' q ' the centripetal force acting on the bob is given by [g = acceleration due to gravity.]
Options
- AmgL L ^2- r ^2
- BL ^2- r ^2 mgL
- Cmgr L ^2- r ^2
- Dmgr L ^2- r ^2
Correct answer
C. mgr L ^2- r ^2
Step-by-step solution
Consider the figure below: On taking the ratio of equation (1) and (2): Centripetal force = mg From geometry, = r L ^2- r ^2 Centripetal force = mgr L ^2- r ^2