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Block A of mass m is performing SHM of amplitude a. ANOTHER block B of mass m is gently pls ed on block A when it passes through mean position and B sticks to A. Find the time period and amplitude of new SHM

Block A of mass m is performing SHM of amplitude a. ANOTHER block B of mass m is gently pls ed on block A when it passes through mean position and B sticks to A. Find the time period and amplitude of new SHM

Grade:11

1 Answers

Arun
25750 Points
5 years ago
The total energy of the block at the extreme position is just potential energy since it is not moving and us equal to 1/2 *k* (A)^2 independent of mass . Now if another mass falls and mass changes,total energy remains same. And now say the new amplitude is 'a' then the energy at extreme position is 1/2 *k* (a)^2 . But we already showed that energy remains same . So 
1/2 *k* (A)^2 = 1/2 *k* (a)^2 

This implies that A=a . So amplitude remains same

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