Unformatted text preview: The object is initially held at rest in a position y 1 such that the spring is not stretched. The object is then released from y 1 and oscillates up and down, with the lowest position being 10 cm below y 1 . (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 8 . cm below the initial position? (c) An object of mass300 g is attached to the ﬁrst object, after which the system oscillates with half of the original frequency. What is the mass of the ﬁrst object? (d) Relative to y 1 , where is the new equilibrium position with both objects attached to the spring? 5. A 500 g cylinder of base area a = 20 cm 2 and height h = 30 cm is ﬂoating upright in water. A 50 g mass, resting on top of the cylinder is suddenly removed. (a) Find the restoring force and show that the resulting motion is simple harmonic. (b) What are the amplitude and the period of the motion? 1...
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 Spring '08
 goatman
 Force, Velocity, new equilibrium position

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