VDU_Physics_2_002  
 

 

Solved University-Physics Problems

Physics 2.- Energy in Oscillations

Javier Montenegro Joo

jmj@VirtualDynamics.Org

 

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Energy in Oscillations

 
  (6) An oscillator of mass m and frequency f, vibrates with SHM, with a maximum amplitude Ao.  Determine the amplitude of the oscillator at the time when  2/3 of its total energy is: (a) potential (b) kinetic.

Solution .-

 
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VirtualDynamicsArt

 
     
 

(7) An oscillating spring (SHM) of mass m and frequency  fo   has a total energy  Eo  Determine (a) Its maximum velocity  (b) Its maximum amplitude.  

Solution.-

 

 
     
  (8) A block on a frictionless horizontal table is attached to the extreme of a 40cm-long spring, and negligible mass, whose other extreme remains fixed by means of a nail in the tabletop.   By applying 12 J the spring is compressed down to 10 cm, wherefrom the block is released and experiences a 25 m/s2  maximum acceleration. Determine the mass of the block (b) the elastic constant of the spring (c) the oscillation frequency of the block.

Solution.-

The work done to compress the spring is stored as potential energy of the spring:

 
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(9) A spring of mass mo vibrates with a SHM of frequency fo .  Determine: (a) The elastic constant ko  of the spring (b) The maximum amplitude of oscillation (c) The potential energy at the extreme of the oscillation (d) The kinetic energy when the spring passes by its equilibrium position. It is known that the total energy of the vibrating spring is (2 Pi2)-1

Solution.-

 
 

Physics Virtual Lab (PVL):

Evolution of the energy in the Simple Harmonic Motion:

The PVL is a collection of 191 professional and highly interactive physics simulation modules, that can be used to learn and to teach physics.

 
 

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