Damped and Forced Oscillations, Resonance
 

Damped and Forced Oscillations, Resonance problem 20


A trolley of mass is held on a horizontal surface by means of two springs. One spring is attached to a fixed point . The other spring is connected to an oscillator, as shown in the figure.




The springs, each having spring constant of , are always extended. The oscillator is switched off. The trolley is displaced along the line of the springs and then released. The resulting oscillations of the trolley are simple harmonic. The acceleration of the trolley is given by the expression




where is the displacement of the trolley from its equilibrium position.


The mass of the trolley is .


At any given frequency, the amplitude of oscillation of the trolley is constant. Explain how this indicates that there are resistive forces opposing the motion of the trolley.


 

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main author and content editor: Ebenezer Famadewa