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Two masses 10kg and 20 kg respectively a...

Two masses 10kg and 20 kg respectively are connected by a massless springs as shown in figure force of 200N acts on the 20kg mass. At the instant shown in figure the 10kg mass has acceleration of 12 `m//s^(2)` what is the acceleration of 20kg mass?

Text Solution

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Equation of motion for `m_(1)is F=m_(1)a_(1)=10xx12=120N.`
Force on 10 kg mass F = 120 N to the left.
`therefore` Equatin of motion for `m_(2) is 200- F = 20 a_(2)`
`200-120=20a_(2)implies20 a_(2)=80 impliesa_(2)=80/20=4ms^(-2)`
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