Two masses of 10kg and 20kg respect...
Question
Two masses of 10kg and 20kg respectively are connected by a massless spring as shown in figure. A force of 200N acts on the 20kg mass at the instant when the 10kg ma
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Two masses of ( 10 mathrm{kg} ) and ( 20 mathrm{kg} ) respectively are connected by a massless spring as shown in figure. A force of ( 200 mathrm{N} ) acts on the ( 20 mathrm{kg} ) mass at the instant when the ( 10 mathrm{kg} ) mass has an acceleration of
( 12 mathrm{ms}^{-2} ) towards right, the acceleration of the ( 20 mathrm{kg} ) mass is:
(A) ( 2 mathrm{ms}^{-2} )
(B) ( 4 mathrm{ms}^{-2} )
(C) ( 10 mathrm{ms}^{-2} )
(D) ( 20 mathrm{ms}^{-2} )

JEE/Engineering Exams
Physics
Solution
270
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Two masses of 10kg and 20kg respectively are connected by a massless spring as shown in figure. A force of 200N acts on the 20kg mass at the instant when the 10kg mass has an acceleration of 12ms−2 towards right, the acceleration of the 20kg mass is:
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( a_{1}=12^{m} / underline{s} quad a_{2}=? )
Let extension in &pring is ( x ) 

( k x<[vec{B}] 200 N )
( 200-k x=20 mathrm{a}_{2} )
( a rightarrow k x )
( k x=10 times 12=120 )

( b y(2) rightarrow(1) )

( 200-120=20 )

( a_{2}=4 m / Delta 2 )

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