What Is the Spring Constant and Angular Frequency of a Block-Spring System?

AI Thread Summary
The discussion focuses on calculating the spring constant and angular frequency of a block-spring system. When a 0.400 kg block is attached to a spring and released, it drops 0.150 m before coming to rest, indicating the forces acting on it. The spring constant can be determined using Hooke's Law, which relates the force exerted by the spring to its displacement. The angular frequency of the block's vibrations can be calculated using the formula ω = √(k/m), where k is the spring constant and m is the mass of the block. Understanding the forces involved, including gravitational force and spring force, is crucial for solving these problems.
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Homework Statement



A spring is hung from the ceiling. A 0.400 kg block is then attached to the free end of the spring. When released from rest, the block drops 0.150 m before momentarily coming to rest.

(a) What is the spring constant of the spring?

(b) Find the angular frequency of the block's vibrations.


Again, please explain what is going on here and the process to solve.
 
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Consider the point at which the block comes to rest (after it has been attached and drops a little).
Can you draw a free body diagram?
What forces come into play?
How can you relate them to each other?
 

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