Maximum possible amplitude of oscillation

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SUMMARY

The maximum possible amplitude of oscillation for two blocks connected by Velcro, rated for a separation force of 50N, can be calculated using the spring constant of 1200N/m and the mass of each block, which is 0.75kg. The force exerted by the spring during oscillation must not exceed the Velcro's separation force. The maximum force exerted by the spring at maximum amplitude can be determined using Hooke's Law, F = kx, where x is the amplitude. Therefore, the amplitude must be calculated to ensure that the spring force does not exceed 50N.

PREREQUISITES
  • Understanding of Hooke's Law (F = kx)
  • Basic knowledge of oscillatory motion
  • Familiarity with mass-spring systems
  • Ability to perform calculations involving forces and spring constants
NEXT STEPS
  • Calculate the maximum amplitude using the formula A = F/k, where F is the maximum force (50N) and k is the spring constant (1200N/m).
  • Explore the dynamics of mass-spring systems in oscillatory motion.
  • Study the effects of damping on oscillation amplitude.
  • Investigate the role of friction and adhesion in mechanical systems.
USEFUL FOR

Physics students, mechanical engineers, and anyone studying dynamics and oscillatory systems will benefit from this discussion.

rlukis
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Homework Statement


You stick two blocks together with Velcro. The manufacturer rated the Velcro as needing a force of 50N to separate the side you are using when applied to solid surfaces. You set up the connected blocks so that the top one is attached to the end of a vertical spring. The blocks each ahve mass m = 0.75kg, and the spring constant is k = 1200N/m. FInd the maximum possible amplitude of oscillation at which the blocks will hold together.


Homework Equations


not a clue..


The Attempt at a Solution


^^
 
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The spring is providing a force on the block to keep it oscillating (as it is continually changing speed). You need to find out a which point in the oscillation this force is maximum and then think about what might cause the blocks to separate.
 

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