- #1

p37

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- 1

- Homework Statement
- A thin rod has a length of 0.138 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.221 rad/s and a moment of inertia of 1.08 x 10-3 kg·m2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?

- Relevant Equations
- Lfinal = Linitial

L=Iw

I(i)w(i)= I(f)w(f)

I(i)= 1.08 x 10-3 kg·m2

w(i)= 0.221 rad/s

I(f)= mr^2 + I(i) = (5 x 10^-3)(.138)^2 + (1.08 x 10^-3)

(1.08 x 10-3)(.221) = ((1.08 x 10^-3)+9.22 x 10^-5))w(f)

w(f) = (2.3868 x 10^-4)/(0.00117522)

w(f)= 0.203094 rad/s

This is my attempt; however, I cannot seem to get it right. Any help on what I am doing wrong?

I(i)= 1.08 x 10-3 kg·m2

w(i)= 0.221 rad/s

I(f)= mr^2 + I(i) = (5 x 10^-3)(.138)^2 + (1.08 x 10^-3)

(1.08 x 10-3)(.221) = ((1.08 x 10^-3)+9.22 x 10^-5))w(f)

w(f) = (2.3868 x 10^-4)/(0.00117522)

w(f)= 0.203094 rad/s

This is my attempt; however, I cannot seem to get it right. Any help on what I am doing wrong?