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What are the acceleration of each block when1)-1 is cut2)-2 is cut3)-3 is cutFrom the given figure.

Ayushi Agarwal , 6 Years ago
Grade 12th pass
anser 1 Answers
Eshan

Last Activity: 6 Years ago

Under equilibrium,

Tension in spring 1 is 3mg.

Tension in string 2 is 5mg

Tension in spring 4 is 6mg

1) When string 1 is cut, 3m mass is under free fall and thus has acceleration g.
Spring 3 sitll has tension of 6mg.
Hence, T-2mg=2ma and 6mg-T=ma
Hence,a=\dfrac{4g}{3}

2) When string 2 is cut, 2m block is under tension from spring 1 with downward force of 3mg. Hence acceleration of block 2m is\dfrac{3mg+2mg}{2m}=\dfrac{5g}{2}
Similarly acceleration of block 3m is\dfrac{3mg-3mg}{3m}=0.

3) When spring 3 is cut,block A is under free fall. 2m and 3m will again have accelerations\dfrac{5g}{2}, 0respectively.

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