Question

help with 1-3

1) A simple harmonic oscillator consists of a 0.100 kg mass attached to a spring whose force constant is 10.0 N/m. The mass is displaced 3.00 cm and released from rest. Calculate (a) the natural frequency fo and period T (b) the total energy , and (c) the maximum speed 2) Allow the motion in problem 1 to take place in a resisting medium. After oscillating for 10 seconds, the maximum amplitude decreases to half the initial value. Calculate (a) the damping parameter y (b) th frequency fi (compare with the undamped frequency fo) and (c) the decrement of the motion 3) The oscillator of Problem 1 is set into motion by giving it an initial velocity of 0.01 m/s at its equilibrium position. Calculate (a) the maximum displacement and (b) the maximum potential energy 105AT.

Answer 1

1.

a)

as we know

( 2 pi f) ^2 = K/m

(2 pi f) ^2 = 10 / 0.1

f = 1.5923 Hz

b)

total energy

U = 0.5 k x^2 = 0.5* 10* 0.1^2 = 0.05 J

c)

0.5 m v^2 = 0.05

v = 1 m/s

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plz post other problem separately

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