Question 1 A cigarettes dispenser requires a coin with a mass of 9.5 g to dispense one cigarette with a mass of 0.2 g. The design of such a cigarette dispenser is based on a helical spring, of negligible mass, which is found to extend 0.1 mm under a mass of 0.2 g. The spring can support a total mass of a coin. As the customer place money on the dispenser, the spring and coin system displace vertically through 4 mm and release. 1.1. Provide a schematic representation of the mass and spring system. 1.2. Calculate the frequency of natural vibration of the dispenser. 1.3. Determine the velocity of the coin when it is 2 mm below its resting position.
Question 1 A cigarettes dispenser requires a coin with a mass of 9.5 g to dispense one cigarette with a mass of 0.2 g. The design of such a cigarette dispenser is based on a helical spring, of negligible mass, which is found to extend 0.1 mm under a mass of 0.2 g. The spring can support a total mass of a coin. As the customer place money on the dispenser, the spring and coin system displace vertically through 4 mm and release. 1.1. Provide a schematic representation of the mass and spring system. 1.2. Calculate the frequency of natural vibration of the dispenser. 1.3. Determine the velocity of the coin when it is 2 mm below its resting position.
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 61P
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Question 1
A cigarettes dispenser requires a coin with a
mass of 9.5 g to dispense one cigarette with a mass of 0.2 g. The design of
such a cigarette dispenser is based on a helical spring, of negligible mass,
which is found to extend 0.1 mm under a mass of 0.2 g. The spring can
support a total mass of a coin. As the customer place money on the
dispenser, the spring and coin system displace vertically through 4 mm and
release.
1.1. Provide a schematic representation of the mass and spring system.
1.2. Calculate the frequency of natural vibration of the dispenser.
1.3. Determine the velocity of the coin when it is 2 mm below its resting position.
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