How Fast Will the Mass Be Just Before It Hits the Ground?

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SUMMARY

The discussion centers on calculating the speed of a 4.0 kg mass just before it strikes the ground, connected to an 8.0 kg wheel with a radius of 0.5 m and a moment of inertia of 2.0 kg*m². The problem requires the application of the conservation of mechanical energy principle. The mass is released from a height of 2.0 m, and participants are encouraged to share their calculations to identify errors in their approach. The focus is on ensuring accurate application of energy conservation to derive the correct speed.

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benp
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Here is the problem, I've been trying for a day but can't seem to come up with the right answer.

A 4.0 kg mass is connected by a massless string over a massless and frictionless pulley to the center of an 8.0 kg wheel. Assume that the wheel has a radius of .5 m and a moment of inertia of 2.0 kg*m^2. The mass is released from rest at a height of 2.0 m above the ground. What will its speed be just before it strikes the ground? (Hint: Apply conservation of mechanical energy.)

Well, any help would be appreciated. I've tried cons. of mech. energy, but I come up with a wrong answer.
 
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Hi benp,

Can you please post what you've done so far, so we can find where the mistake is?

Welcome to the forums.
 
I'd love to but the stuff's in my car (which my sister's using right now). Ugh...if you only knew how long I've been working on this. It's getting late here now (almost 2am) but if you could help any I would apprecaite it very much.
 

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