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Figure P13.74 shows a crude model of an insect wing. The mass m represents the entire mass of the wing, which pivots about the fulcrum F. The spring represents the surrounding connective tissue. Motion of the wing corresponds to vibration of the spring. Suppose the mass of the wing is  and the effective spring constant of the tissue is . If the mass m moves up and down a distance of from its position of equilibrium, what is the maximum speed of the outer tip of the wing?

 

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Ciara Beatrice Canalita
Ciara Beatrice CanalitaLv10
23 Nov 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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a).An object of mass 541 g is attached to a spring with springconstant k = 653 N/m. If the object is displaced by 130 mm from theequilibrium position and is released, with what speed doe theobject pass through the equilibrium position during itsmotion?

Express the result in the unit [m/s] and to three significantfigures. If you must use scientific notation, please enter asfollows: e.g. 0.000123 = 1.23E-4. Only answer in numerical values,no units. For negative numbers, leave no space between the negativesign and the number: e.g. right: -1.00, wrong: - 1.00.

b).An object has a mass of m = 647 g. It is attached to a springwhich has a spring constant of value k = 65 N/m. At time t = 0 theobject is pulled to a distance of 28.1 cm from its equilibriumposition (which you may choose conveniently at x = 0). The surfaceon which the object moves is frictionless.

What is the total energy of the system?

Express the result in the unit [J] and to three significantfigures. If you must use scientific notation, please enter asfollows: e.g. 0.000123 = 1.23E-4. Only answer in numerical values,no units. For negative numbers, leave no space between the negativesign and the number: e.g. right: -1.00, wrong: - 1.00.

c).The vibration of the tympanic membrane in the human ear(eardrum) can be described as a harmonic motion. Assuming a mass of20.6 mg and a period of vibration of 1.72 ms, what is the naturalvibration frequency of the membrane?

Express the result in the unit [Hz] and to three significantfigures. If you must use scientific notation, please enter asfollows: e.g. 0.000123 = 1.23E-4. Only answer in numerical values,no units. For negative numbers, leave no space between the negativesign and the number: e.g. right: -1.00, wrong: - 1.00.

d).An object of mass m is attached to a spring with spring constantk = 170 N/m. At time t = 0 the object is pulled to a distance of0.18 m from its equilibrium position. The surface on which theobject moves is frictionless and the spring is within its elasticregime. What is the mass of the object if it oscillates with afrequency f = 2.90 Hz when it is released?

Express the result in the unit [kg] and to three significantfigures. If you must use scientific notation, please enter asfollows: e.g. 0.000123 = 1.23E-4. Only answer in numerical values,no units. For negative numbers, leave no space between the negativesign and the number: e.g. right: -1.00, wrong: - 1.00.










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