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Two masses of 10 kg and 20 kg respective...

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