In the shown diagram, all strings and pulleys are light and surfaces are smooth. $m_{A} = 1 Kg, m_{B} = 2 Kg$ and block A moves rightwards at $10 m / s^{2}$ w.r.t. ground. The normal force by ground is given by $N_{G} = λ \times 10$ Newton. Find the value of $λ$ to nearest integer.
Take g=10 m/s².

Question

In the shown diagram, all strings and pulleys are light and surfaces are smooth. $m_{A} = 1 Kg, m_{B} = 2 Kg$ and block A moves rightwards at $10 m / s^{2}$ w.r.t. ground. The normal force by ground is given by $N_{G} = λ \times 10$ Newton. Find the value of $λ$ to nearest integer.

Take g=10 m/s².

TestHub · Accepted Answer

Let the rope tensions be T1 and T2. For A, T2-T1=mA×a=10 N. The rope exerts -T1-T2+2T2=10 N upward on B. A presses down on B with mA×g. Thus Nground=(mA+mB)g-10=20 N, so lambda=2.

Physics - NLM Question with Solution | TestHub

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