Question 7: A) Which of the following are true statements about resonance and th

Question

Question 7:

A) Which of the following are true statements about resonance and the harmonic scalpel?

a.) At resonance there will be a larger amplitude of vibration

b.) The mechanical energy in the system is constant at resonance

c) The work done by the driving force must be greater than the mechanical energy in the system

d.) There will be a larger amplitude of vibration with a larger driving force

e.) The energy from the driving force must equal the energy loss due to cutting, coagulation, and other damping forces

f.) At resonance there will be a maximum amount of mechanical energy in the system

B) Which of the following equations apply to the harmonic scalpel? Consider boundary conditions.

Notation: v = wave speed; lambda = wavelength; f = frequency; L = length of the scalpel (similar to the length of a pipe), n = the integer corresponding to the harmonic: 1, 2, 3, ...

a.) v = lambda * f

b.) lambda = 2*L / n

c.) lambda = L / 2*n

d.) f = v / L (first harmonic)

e.) f = 6*v / L (third harmonic)

f.) f = 3*v / L (sixth harmonic)

Explanation / Answer

1) At resonance there will be a larger amplitude of vibration

The energy from the driving force must equal the energy loss due to cutting, coagulation, and other damping forces

There will be a larger amplitude of vibration with a larger driving force

2) v = lambda * f

lambda = 2*L / n

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