Finding Block's Maximum Height in SHM Platform

[kevi555]

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

 

[Doc Al]

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