A horizontal spring-mass system of mass M executes oscillatory motion of amplitude a 0 and time period T 0 . When the mass M is passing through its equilibrium position another mass m is placed on

Question

A horizontal spring-mass system of mass M executes oscillatory motion of amplitude a 0 ​ and time period T 0 ​ . When the mass M is passing through its equilibrium position another mass m is placed on it such that both move together. If a and T are the new amplitude and time period then:

TestHub · Accepted Answer

Momentum: v f ​ = M + m M ​ v . ω f ​ = ω M + m M ​ ​ . a = v f ​ / ω f ​ = a 0 ​ M + m M ​ ​ . T = T 0 ​ M M + m ​ ​ .

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