2. In the figure, two masses, M= 16kg and m= 12.8kg, are connected to a very lig

Question

2. In the figure, two masses, M= 16kg and m= 12.8kg, are connected to a very light rigid bar and are attached to an ideal massless spring of spring constant 100N/m. The system is set into oscillation with an amplitude of 78cm. At the instant when the acceleration is at its maximum, the 16kg mass seperates from the 12.8kgmass, which then remains attached to the spring and continues to oscillate. What will be the amplitude of oscillation of the 12.8kg mass? Please explain number 2 in detail.

Ans: 78cm

Explanation / Answer

velocity of the system is zero so KE of the system is also zero

potential energy of the system is

PE = 1/2 K A^2

the PE is not depending on M at extreme point so if the body M is released at extreme point ther will be

no change in amplitude of the system.

the amplitude of the system remains same so A = 78 cm

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