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Two masses 10 kg and 20 kg respectively ...

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

Text Solution

Verified by Experts

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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Knowledge Check

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