Question Detail

PHY 104 Oscillatory Motion Objective Question

For a damped harmonic oscillator, where b is the damping constant and m is the mass, the solution for the displacement x(t) is given by:

A x(t) = A sin(ωt + φ)

B x(t) = A e<sup>-bt/2m</sup> sin(ω't + φ)

Correct Answer

C x(t) = A cos(ωt + δ)

D x(t) = A e<sup>-bt</sup> cos(ω't)

Option B is the correct answer.

Equation (48) on page 21 explicitly gives the solution for the displacement as 'x(t) = A e-bt/2m sin(ω't + φ)'.

The amplitude of a damped oscillation decreases exponentially over time.

Course: PHY 104

Topic: Oscillatory Motion

Type: Objective

Difficulty: Not specified

Question 255 of 947

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