A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from y; and oscillated up and down, with its lowest position being 10 cm below Yi. a. What is the frequency of oscillation? b. What is the speed (in m/s) of the object when it is 8 cm below the initial position? c. An object of mass 340 g is attached to the first object, after which the system oscillated with half the original frequency. What is the mass (in grams) of the first object? d. How far below (in cm) Yi is the new equilibrium (rest) position with both objects attached to the spring?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a
position yi such that the spring is at its rest length. The object is then released from y; and oscillated up and down, with its
lowest position being 10 cm below Yi.
a. What is the frequency of oscillation?
b. What is the speed (in m/s) of the object when it is 8 cm below the initial position?
c. An object of mass 340 g is attached to the first object, after which the system oscillated with half the original frequency.
What is the mass (in grams) of the first object?
d. How far below (in cm) Yi is the new equilibrium (rest) position with both objects attached to the spring?
Transcribed Image Text:A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from y; and oscillated up and down, with its lowest position being 10 cm below Yi. a. What is the frequency of oscillation? b. What is the speed (in m/s) of the object when it is 8 cm below the initial position? c. An object of mass 340 g is attached to the first object, after which the system oscillated with half the original frequency. What is the mass (in grams) of the first object? d. How far below (in cm) Yi is the new equilibrium (rest) position with both objects attached to the spring?
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