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Question

Two blocks A and B of masses 2m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively:

A
g,g2
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B
g2,g
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C
g,g
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D
g2,g2
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Solution

The correct option is B g2,g

Before the string is cut, the upward stretching force in the spring is
kx=3mg

After the string is cut, the free body diagrams for the two blocks can be shown as in adjacent figure.


For block A:2maA=3mg2mg
Or aA=g2

For block B: maB=mg
Or aB=g.


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