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Laws of Motion

Section: Physics

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Question : 7

Total: 20

A block of mass 2M is attached to a massless spring with spring-constant k. This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The acceleration of the blocks are a1,a2 and a3 as shown in the figure. The system is released from rest with the spring in its unstretched state. The maximum extension of the spring is x0. Which of the following option(s) is/are correct ?

[JEE Adv 2019 P2]

At an extension of
x0
4
of the spring, the magnitude of acceleration of the block connected to the spring is
3g
10
When spring achieves an extension of
x0
2
for the first time, the speed of the block connected to the spring is 3g√
M
5k
x0=‌‌
4Mg
k
a2−aI=aI−a3

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