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Consider a system of two springs attached to a block on a frictionless horizontal surface as drawn above (not to scale). The springs have spring constants of k1 and k2 and the block has mass m. We define a coordinate system x that has its origin at the equilibrium position of the system. Write an equation for the net force on the block as a function of its displacement x from equilibrium. F = Part 3) If the system from Part 2 is set oscillating, write an expression for its resultant angular frequency.

Consider a system of two springs attached to a block on a frictionless horizontal surface as drawn above (not to scale). The springs have spring constants of k1 and k2 and the block has mass m. We define a coordinate system x that has its origin at the equilibrium position of the system. Write an equation for the net force on the block as a function of its displacement x from equilibrium. F = Part 3) If the system from Part 2 is set oscillating, write an expression for its resultant angular frequency.

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k2 Consider a system of two springs attached to a block on a frictionless horizontal surface as drawn above (not to scale). The springs have spring constants of k and k2 and the block has mass m. We define a coordinate system a that has its origin at the equilibrium position of the system. Write an equation for the net force on the block as a function of its displacement x from equilibrium. F = Part 3) If the system from Part 2 is set oscillating, write an expression for its resultant angular frequency. W = We wish to use this system to determine the spring constant of an unknown spring. We have a block of mass m = 2.32 kg and one of the spring constants is known to be k1 2.03 N/m. The system is set oscillating and observed to have a period of T = 5.00 s. What is the spring constant k2 of the other spring? k2 N/m
Transcribed Image Text:k2 Consider a system of two springs attached to a block on a frictionless horizontal surface as drawn above (not to scale). The springs have spring constants of k and k2 and the block has mass m. We define a coordinate system a that has its origin at the equilibrium position of the system. Write an equation for the net force on the block as a function of its displacement x from equilibrium. F = Part 3) If the system from Part 2 is set oscillating, write an expression for its resultant angular frequency. W = We wish to use this system to determine the spring constant of an unknown spring. We have a block of mass m = 2.32 kg and one of the spring constants is known to be k1 2.03 N/m. The system is set oscillating and observed to have a period of T = 5.00 s. What is the spring constant k2 of the other spring? k2 N/m
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