VirtualDynamics UniversitySolved UniversityPhysics ProblemsPhysics 2. Energy in OscillationsJavier Montenegro Joo jmj@VirtualDynamics.Org


Energy in Oscillations 

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




(7) An oscillating spring (SHM) of mass m and frequency f_{o} has a total energy E_{o} 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 40cmlong 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/s^{2 } 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:


(9) A spring of mass m_{o} vibrates with a SHM of frequency f_{o }. Determine: (a) The elastic constant k_{o} 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 Pi^{2})^{1} Solution.


