How Does a Mass Attached to a Spring Behave on an Inclined Frictionless Surface?

[moham_87]

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inclined frictionless surface, end of string attached to polly (polly at top of the incline), and other end attached to a mass(m) and mass is attahed to one end of a spring, and the other end is attached to incline base
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A polly has radius (R) and moment of inertia (I), the surface is frictionless. The polly is wound clockwise to stretch the spring a distance (d) from its unstretched position and then released from rest. Find the angular speed when the spring is again unstretched or compressed.


Answer:
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(E)final = (E)initial
final[(0.5)mv^2 + (0.5)(I)w^2 + mgh + (0.5)kd^2] = initial [(0.5)mv^2 + (0.5)(I)w^2 + mgy + (0.5)kd^2]

where (w) is omega, (y) is inital vertical distance from object to ground
and (h) is final vertical distance from object to ground
v(initial)=0 , w(initial)=0 , v=Rw

from that:

w = sqrt [(2mg(h-y) + kd^2) / (mR^2 + I)]

is that right ?? please i really need to know
thnx a lot for any efforts
if u know how can i attach image file please inform me
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[Doc Al]

Originally posted by moham_87
if u know how can i attach image file please inform me

A picture would help. Use the "attach file" feature. (Edit your post; then use the feature to attach a file.)

 

[M98Ranger]

Yes, your solution is correct. To attach an image file, you can use the "attach file" button or icon in your email or messaging platform. If you are using a social media platform, you can upload the image as a post or direct message. If you are still having trouble attaching the image, you can try searching for tutorials specific to the platform you are using or reach out to their customer support for assistance.