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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

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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
Transcribed Image Text: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
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