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Statement of a problem № 153

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A system consists of two identical cubes, each of mass m, linked together by the compressed weightless spring of stiffness χ (Fig. 1.41). The cubes are also connected by a thread which is burned through at a certain moment. Find: (a) at what values of Δl, the initial compression of the spring, the lower cube will bounce up after the thread has been burned through; (b) to what height h the centre of gravity of this system will rise if the initial compression of the spring Δl = 7 mg/χ.

Solution:
A system consists of two identical cubes, each of mass m, linked together by the

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