SHM Platform Block Displacement

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Homework Help Overview

The problem involves a block on a platform undergoing simple harmonic motion (SHM) in the vertical direction. The platform has an amplitude of 5 cm and a frequency of 10/π vibrations per second. The original poster is trying to determine how far the block will rise above the highest point reached by the platform after it separates from it.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to find the point at which the block leaves the platform and has calculated a displacement of 2.5 cm. Other participants question the velocity of the block at separation and suggest that it may lead to a trajectory problem.

Discussion Status

Some participants are actively calculating values related to the block's motion, including its velocity at the moment of separation. There is an ongoing exploration of how to proceed with the problem, indicating that the discussion is still developing without a clear consensus.

Contextual Notes

Participants are working with specific values derived from the problem setup, including the frequency and amplitude of the platform's motion, but there may be uncertainties regarding the calculations and the next steps to take.

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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kevi555 said:
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

How fast is the block going when it separates from the platform? Where will it separate from the platform? Then it's a trajectory problem.
 
Okay, so I've found that the velocity at that time (0.05291) is -0.8715. I know that the displacement in y is 2.5 cm. I'm not quite sure how'd it proceed from here though.
 
kevi555 said:
Okay, so I've found that the velocity at that time (0.05291) is -0.8715. I know that the displacement in y is 2.5 cm. I'm not quite sure how'd it proceed from here though.

What is that calculation that gave you the numbers?
 

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