# HW11 - Physics 105 Mechanics Fall 2009 Homework 11 Due...

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Physics 105: Mechanics Fall 2009 Homework 11 Due Friday 12/4 Read sections 10.7-10.8, 11.1-11.3 in the text. Do the following problems. 1. Do 10.P.41. Omit part (f). For parts (b) and (e), do the algebra to ﬁnd the ratio K f /K i . 2. Do 10.P.42. 3. Do 10.P.44. 4. Do 10.P.49. 5. Do 10.P.56. 6. In this problem, you will calculate the moment of inertia of a uniform rod of mass M and length l about an axis that is perpendicular to the rod, going through a point at the end of the rod. x = 0 x = l x i i x + x Δ (a) Consider a small segment of length Δ x , located a distance x i from the axis. What is the mass of this segment? (b) What is the contribution of this segment to the moment of inertia of the rod? (c) Taking the limit where Δ x is very small, add up the contributions of all the segments in the rod to determine the moment of inertia. 7. A uniform rod of length l and mass M hangs from a low-friction axle. A bullet of mass m traveling at speed v 0 strikes near the bottom of the rod and becomes lodged there. (See diagram for problem

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HW11 - Physics 105 Mechanics Fall 2009 Homework 11 Due...

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