Solving the Physics Problem: Position of Object Leaving Compressed Spring

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SUMMARY

The discussion focuses on determining the position at which an object leaves a compressed spring on an inclined air track at a 30-degree angle. Key variables include the spring constant (k), the mass of the object (m), and the initial compression distance (A). The object accelerates as it releases from the spring, and the critical moment occurs when its velocity exceeds that of the spring's potential energy recovery. This analysis is essential for understanding the dynamics of spring mechanics in inclined planes.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with spring mechanics and Hooke's Law
  • Basic knowledge of kinematics and energy conservation
  • Concept of inclined planes and their effects on motion
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  • Study the application of Hooke's Law in dynamic systems
  • Learn about energy conservation principles in mechanical systems
  • Explore kinematic equations for objects on inclined planes
  • Investigate the effects of friction on motion in spring systems
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Physics students, mechanical engineers, and anyone interested in the dynamics of spring systems and inclined motion.

DH
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An object is place against a compressed spring at the bottom of an air track that slope upward at an angle 30. When the spring is release, find at which position, the object leave the spring?
Given: the spring is compressed A, the spring constant is k, m is mass of object, mass of spring is negligible
 
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What have you done so far?
 
The problem is that, after the object releases from the spring, it will accelerate.. if the velocity of object is greater than spring, the object will leave. but when?
 
Initially the ball accelerates with the spring as it loses its potential energy , till the point , the spring passes its mean position and starts gaining the potential energy, but the ball remains in motion it had gained . Work on it.

BJ
 

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