CBSE Class 12-science Answered
A dumbbell consists of two masses A and B each of mass m joined by a light rod of length l with mass B attached to a suspension point O by a light rod of length l as shown in figure. Find the minimum required speed with which mass A to be projected horizontally so that the system completes the vertical circular motion.
Asked by artabandhusahu85 | 24 Apr, 2024, 12:07: PM
Expert Answer
As shown in figure , if the dumble make a movement of one vertical revolution about the hinge point O ,
then the vertical displacement made by center of mass C of dumbell is 3l , where l is distance between spheres of dumbell.
If the sphere A moves with velocity u , then center of mass C will move with velocity [ u / (2l) ] × [ (3l)/2 ] = (3/4)u
Hence , to make one complete circle , kinetic energy of center of mass at bottom should be equal to potential energy of center of mass at top.
Answered by Thiyagarajan K | 24 Apr, 2024, 10:57: PM
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