In the system shown in figure mB $$=$$ $$4kg$$, and mA $$=$$ $$2$$ kg. The pulleys are massless and friction is absent everyrwhere. The acceleration of block A is

Question

In the system shown in figure mB $$=$$ $$4kg$$, and mA $$=$$ $$2$$ kg. The pulleys are massless and friction is absent everyrwhere. The acceleration of block A  is

Infinity Learn · Accepted Answer

For movable pulleyaB $$=$$ $$O+aA2aA$$ $$=$$ $$2aB--------(i)Free$$ body diagrams of A and B: Equation of motion of block A and BFor A : $$T-mAg2$$ $$=$$ mAaA $$=$$ $$mA(2aB)-----(ii)For$$ B : $$mBg-2T$$ $$=$$ $$mBaB-------------(iii)From$$ (ii) and (iii) [$$2(ii)$$ $$+$$ (iii)]$$mBg-mAg$$ $$=$$ [$$4mA+mB$$]aB⇒aB $$=$$ [$$mB-mA$$]g[$$4mA+mB$$] $$=$$ [$$4-2$$]×$$10$$[$$4$$×$$2+4$$]           $$=$$ $$2012$$ $$=$$ $$53m/s2Hence$$  aA $$=$$ $$2aB$$ $$=$$ $$103m/s2$$

In the system shown in figure $m_{B}$ = 4kg, and $m_{A}$ = 2 kg. The pulleys are massless and friction is absent everyrwhere. The acceleration of block A is

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In the system shown in figure mB = 4kg, and mA = 2 kg. The pulleys are massless and friction is absent everyrwhere. The acceleration of block A is

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In the system shown in figure $m_{B}$ = 4kg, and $m_{A}$ = 2 kg. The pulleys are massless and friction is absent everyrwhere. The acceleration of block A is