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A 0.50-kg mass is suspended from a massless spring that has a force constant of 79 N/m. The mass is displaced 0.1 m down from its equilibrium position and released. If the downward direction is negative, the displacement of the mass as a function of time is given by


A) y = 0.1 cos158t - π\pi )
B) y = 0.2 cos158t - π\pi )
C) y = 0.1 cos12.6t - π\pi )
D) y = 0.2 cos12.6t + π\pi )
E) y = 0.1 cos2t + π\pi )

F) B) and D)
G) None of the above

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A spring vibrates in simple harmonic motion according to the equationx = 15 cos π\pi twhere x is in centimeters and t is in seconds. The total number of vibrations this body makes in 10 s is


A) "0.5"
B) "10"
C) " π\pi "
D) "15"
E) "5"

F) A) and E)
G) A) and D)

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  A spring of negligible mass and spring constant k is attached to the wall on one end, and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r. The spring is stretched a distance A from equilibrium and let go. The sphere rolls freely on a smooth surface. The angular frequency of the oscillation is A)    B)    C)    D)    E)   A spring of negligible mass and spring constant k is attached to the wall on one end, and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r. The spring is stretched a distance A from equilibrium and let go. The sphere rolls freely on a smooth surface. The angular frequency of the oscillation is


A)   A spring of negligible mass and spring constant k is attached to the wall on one end, and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r. The spring is stretched a distance A from equilibrium and let go. The sphere rolls freely on a smooth surface. The angular frequency of the oscillation is A)    B)    C)    D)    E)
B)   A spring of negligible mass and spring constant k is attached to the wall on one end, and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r. The spring is stretched a distance A from equilibrium and let go. The sphere rolls freely on a smooth surface. The angular frequency of the oscillation is A)    B)    C)    D)    E)
C)   A spring of negligible mass and spring constant k is attached to the wall on one end, and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r. The spring is stretched a distance A from equilibrium and let go. The sphere rolls freely on a smooth surface. The angular frequency of the oscillation is A)    B)    C)    D)    E)
D)   A spring of negligible mass and spring constant k is attached to the wall on one end, and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r. The spring is stretched a distance A from equilibrium and let go. The sphere rolls freely on a smooth surface. The angular frequency of the oscillation is A)    B)    C)    D)    E)
E)   A spring of negligible mass and spring constant k is attached to the wall on one end, and the other end is attached to the center of mass axis of a solid sphere of mass m and radius r. The spring is stretched a distance A from equilibrium and let go. The sphere rolls freely on a smooth surface. The angular frequency of the oscillation is A)    B)    C)    D)    E)

F) B) and C)
G) A) and E)

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A particle moving with simple harmonic motion has a maximum displacement of +12.0 cm. The particle moves from its maximum positive to its maximum negative displacement in 2.25 s. The motion starts when the displacement is x = +12.0 cm. The time for the particle to move to x = -6.00 cm is


A) 1.70 s
B) 0.750 s
C) 1.50 s
D) 2.20 s
E) 0.983 s

F) B) and D)
G) All of the above

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