In the arrangement as shown $$mB=3M$$ , density of liquid is ρ and density of block B is $$2$$ρ . The system is released from rest so that block B moves up when in liquid and moves down when out of liquid with the same acceleration. The mass of block A is

Question

In the arrangement as shown $$mB=3M$$ , density of liquid is ρ  and density of block B is $$2$$ρ .  The system is released from rest so that block B moves up when in liquid and moves down when out of liquid with the same acceleration.  The mass of block A is

Infinity Learn · Accepted Answer

Acceleration when block  B is in liquid $$a1=mAg$$−(mBg$$−up  $$thrust)mA+3m$$                                                                                             $$=mAg$$−$$(3mg$$−$$3m2$$ρρ$$g)mA+3m($$↑$$)                         Acceleration when block B is outside the liquid  is $$a2=3mg$$−$$mAgmA+3m($$↓$$)$$                         Given $$a1=a2$$                         mAg−$$32mg=3mg$$−mAg                         $$2mAg=92mg$$                     $$mA=(94)m$$

In the arrangement as shown mB=3M , density of liquid is ρ and density of block B is 2ρ . The system is released from rest so that block B moves up when in liquid and moves down when out of liquid with the same acceleration. The mass of block A is

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