Finding Block's Maximum Height in SHM Platform

AI Thread Summary
The problem involves a block on a platform undergoing simple harmonic motion (SHM) with an amplitude of 5 cm and a frequency of 10/pi vibrations per second. The block is placed at the lowest point of the platform's motion and leaves the platform at a height of 2.5 cm. Once the block detaches, it behaves as a free projectile, and its speed at the moment of leaving the platform is a key factor in determining how high it will rise above the platform's highest point. Understanding the block's velocity and the energy conversion from SHM to projectile motion is essential for solving the problem. The discussion seeks tips on calculating the maximum height the block will achieve after leaving the platform.
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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