A spring has a length of 0.2 m (its unloaded length plus the extension X0+x1) when a 0.3 kg mass hangs from it, and a length of 0.75 m (X0+x2) when a 1.95 kg mass hangs from it. Χο x=0 X₁ X2 W₁ W₂ Think & Prepare 1. Draw free body diagrams of the two masses. At equilibrium, what the relationship between the spring force and the the weight in the two cases? 2. Set up two equations, one for each mass, based on the relationship in 1. 3. How many unknowns are there? How many equations? How do you solve for the unknowns? (a) What is the force constant of the spring? k= N m (b) What is the unloaded length of the spring? x= = m
A spring has a length of 0.2 m (its unloaded length plus the extension X0+x1) when a 0.3 kg mass hangs from it, and a length of 0.75 m (X0+x2) when a 1.95 kg mass hangs from it. Χο x=0 X₁ X2 W₁ W₂ Think & Prepare 1. Draw free body diagrams of the two masses. At equilibrium, what the relationship between the spring force and the the weight in the two cases? 2. Set up two equations, one for each mass, based on the relationship in 1. 3. How many unknowns are there? How many equations? How do you solve for the unknowns? (a) What is the force constant of the spring? k= N m (b) What is the unloaded length of the spring? x= = m
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter15: Oscillations
Section: Chapter Questions
Problem 32P: Fish are hung on a spring scale to determine their mass. (a) What is the force constant of the...
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