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A block of mass M executes SHM with ampl...

A block of mass M executes SHM with amplitude a and time period T. When it passes through the mean position, a lump of putty of mass m is dropped on it. Find the new amplitude and time period.

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A light spring of force constant k is attached to a block of mass M placed on a horizontal firctionless surface from its one end and other end is fixed to a right support. The system is executing S.H.M. of amplitude A_(1) and time period T_(1) . At some instant, the block passed through the equilibrium position and a small object of mass m is placed on it. The new amplitude and time period of the system now becomes A_(2) and T_(2) respectively. The ratio T_(2)/T_(1) is

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