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Q.

Two bodies A and I of masses 20 kg and 10 kg respectively are connected by massless spring as shown in fig. A force of 200 N acts on 20 kg
mass. At the instant shown the t0 kg mass has acceleration of 72 mls². What is the acceleration of mass 20 kg ?

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a

10 m/s²

b

12 m/s²

c

4 m/s²

d

0 m/s²

answer is B.

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Detailed Solution

According to Newton's law

$\begin{array}{l} F = m_{1} a_{1} + m_{2} a_{2} \\ 200 = 20 \times a_{1} + 10 \times 12 \\ a_{1} = (200 - 120) / 20 = 4 m / s^{2} . \end{array}$

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Two bodies A and I of masses 20 kg and 10 kg respectively are connected by massless spring as shown in fig. A force of 200 N acts on 20 kg mass. At the instant shown the t0 kg mass has acceleration of 72 mls2. What is the acceleration of mass 20 kg ?