- #1

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- 10

- Homework Statement
- Consider releasing an upright coin from a smooth, frictionless surface. The coin has a radius of 0.01 m and falls sideways. Calculate the tangential velocity of the top of the coin just before the top of the coin hits the surface. You can treat the coin as a uniform disk.

- Relevant Equations
- I = Icm + md^2

0.5IW^2

mgh

I = Icm + mr^2

I = 0.5 mr^2 + mr^2

I= 3/2 mr^2

By COE,

mgh = 0.5(3/2 mr^2)(w^2)

g(2r) = 3/4(r^2)(w^2)

8g/3 = rw^2 = v^2 / r

v = sqrt( 8gr/3)

v=0.511m/s

ans: v=0.79m/s

I = 0.5 mr^2 + mr^2

I= 3/2 mr^2

By COE,

mgh = 0.5(3/2 mr^2)(w^2)

g(2r) = 3/4(r^2)(w^2)

8g/3 = rw^2 = v^2 / r

v = sqrt( 8gr/3)

v=0.511m/s

ans: v=0.79m/s