Finding Block's Maximum Height in SHM Platform

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SUMMARY

The discussion centers on determining how high a block rises above the maximum height of a platform undergoing Simple Harmonic Motion (SHM). The platform has an amplitude of 5 cm and a frequency of 10/π vibrations per second. The block, initially placed at the lowest point of the platform's path, leaves the platform at a height of 2.5 cm. Once detached, the block behaves as a free projectile, prompting inquiries about its speed at the moment of departure.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Knowledge of projectile motion principles
  • Familiarity with concepts of amplitude and frequency in oscillatory systems
  • Basic physics of energy conservation in motion
NEXT STEPS
  • Calculate the maximum speed of the block at the lowest point of the platform using SHM equations.
  • Explore the equations of motion for free projectiles to determine the block's trajectory.
  • Investigate the relationship between amplitude, frequency, and maximum height in SHM systems.
  • Learn about energy conservation principles in oscillatory motion and projectile dynamics.
USEFUL FOR

Students and educators in physics, engineers working with oscillatory systems, and anyone interested in the dynamics of motion in SHM contexts.

kevi555
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Hey all,

I trying to get somewhere with the following problem and am not having much luck. Any tips or suggestions would be appreciated! I found that the block leaves the platform at y=2.5 cm though.

A platform is in SHM in the vertical direction with an amplitude of 5cm and freq. of 10/pi vibrations/sec. A block is put on the platform at the lowest point of its path. How far will the block rise above the highest point reached by the platform?

Thanks!

K
 
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Once the block leaves the platform, it's a free projectile. What's its speed when it leaves the leaves the platform?
 

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