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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 Y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 22 cm below yj. (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 8.5 cm below the initial position? (c) An object of mass 230 g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object? (d) How far below y; is the new equilibrium (rest) position with both objects attached to the sping? (a) Number Units (b) Number Units |(c) Number Units (d) Number Units

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 Y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 22 cm below yj. (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 8.5 cm below the initial position? (c) An object of mass 230 g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object? (d) How far below y; is the new equilibrium (rest) position with both objects attached to the sping? (a) Number Units (b) Number Units |(c) Number Units (d) Number Units

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 58P
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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 Y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 22 cm below yj. (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 8.5 cm below the initial position? (c) An object of mass 230 g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object? (d) How far below y; is the new equilibrium (rest) position with both objects attached to the sping? (a) Number Units (b) Number Units |(c) Number Units (d) Number Units
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 Y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 22 cm below yj. (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 8.5 cm below the initial position? (c) An object of mass 230 g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object? (d) How far below y; is the new equilibrium (rest) position with both objects attached to the sping? (a) Number Units (b) Number Units |(c) Number Units (d) Number Units
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