A. A spring has one end attached to a wall and the other end attached to two ide

Question

A. A spring has one end attached to a wall and the other end attached to two identical masses, m, and ma The system is set into oscillation on a frictionless surface with amplitude A. See figure. When the system is momentarily at rest at x --A whatever it is that holds m to m, fails; and later in the motion mg moves away from m, to the right. Location where the acceleration of m is maximum and negative. Location where the KE ofm, is maximum. 1. The next few questions ask you to compare the behavior of the mass-spring system after and before mg detached. Energy considerations are most useful here The amplitude of the mass-spring oscillation has (increased, decreased, not changed) after mg detaches. The frequency of the mass-spring oscillation has (increased, decreased, stayed the same) after ma detaches The maximum speed of m has (increased, decreased, stayed the same) after m, detaches. The period of oscillation of the mass-spring system has (increased, decreased, stayed the same) after m, detaches The fraction of the total mechanical energy of the entire spring-2 mass system carried away with mB after mB detaches is 4 7.

Explanation / Answer

(1) The spring - mass system has maximum acceleration at x= +A and x=-A locations.

(2) The mass system has maximum kinetic energy at the location x=0

(3) Amplitude will be decreased when Mb is detached

(4) Frequncy will be increased when Mb is detached

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