Exam 10: Elasticity and Oscillations

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A copper ball with a diameter of 5.00 cm is subjected to a pressure of 2.50 ×\times 106 Pa.The bulk modulus for copper is 14.00 ×\times 1010 N/m2.What is the bulk strain?

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In simple harmonic motion the position of the oscillator:

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Diatomic molecules such as H2 and O2 undergo simple harmonic motion with frequencies that obey Hooke's Law with the effective mass being half the atomic mass.If the mass of an oxygen atom is 2.66 ×\times 10-26 kg,and the observed frequency of oscillation is 4.66 ×\times 1013 Hz,what is the effective spring constant associated with the bond between the atoms in an oxygen molecule (O2 )?

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An astronaut measures her mass by means of a device consisting of a chair attached to a large spring.The period of oscillation she undergoes when set into motion is used to determine her mass.If her mass together with the chair is 172 kg,and the spring constant is 1250 N/m,what is the time required for her to undergo 10 full oscillations?

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A 9.00 kg mass is connected to a spring with a spring constant of 4.00 N/m.The velocity is given by the expression v(t) = 10.0 cm/s sin( ω\omega t)+ 8.00 cm/s cos( ω\omega t).What is the maximum displacement of the simple harmonic motion?

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A cable is 5.00 m long and has a diameter of 1.50 mm.The tensile modulus of the cable is 2.50 ×\times 1010 N/m2.A force is applied to the end of the cable and the cable stretches by 3.00 mm.What is the applied force?

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In simple harmonic motion the position of the oscillator:

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A 2.0 kg mass is connected to a spring with a spring constant of 9.0 N/m.The displacement is given by the expression x(t) = 12.0 cm sin( ω\omega t).What is the maximum displacement of the simple harmonic motion?

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A 4.00 kg mass is connected to a spring with a spring constant of 9.00 N/m.The velocity is given by the expression v(t) = 8.00 cm/s sin( ω\omega t)+ 10.0 cm/s cos( ω\omega t).What is the maximum acceleration of the simple harmonic motion?

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A cable is 10.0 m long and has a diameter of 2.00 mm.A force of 45.0 N is applied to the end of the cable and the cable stretches by 3.00 mm.What is the tensile modulus?

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A force of 15.0 N is applied to a wire with a diameter of 2.00 mm.If the wire changed length by 1.20 mm,then the stress in the wire is

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A ball is subjected to a pressure of 25.0 atmospheres.The un-squeezed diameter of the ball is 4.00 cm.The squeezed diameter of the ball is 3.99 cm.The bulk strain on the ball is

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A 2.00 kg mass is connected to a spring with a spring constant of 9.00 N/m.The velocity is given by the expression v(t) = 10.0 cm/s sin( ω\omega t).What is the maximum acceleration of the simple harmonic motion?

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