ic_sol_w04d1_1

Ic_sol_w04d1_1 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01T Fall Term 2004 In-Class Problems 11-13 Uniform Circular

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____________________________________ ____________________________________ MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01T Fall Term 2004 In-Class Problems 11-13: Uniform Circular Motion Solutions Section ______ Table and Group Number ______________________ Names ____________________________________ Hand in one solution per group. We would like each group to apply the problem solving strategy with the four stages (see below) to answer the following two problems. I. Understand – get a conceptual grasp of the problem II. Devise a Plan - set up a procedure to obtain the desired solution III. Carry our your plan – solve the problem! IV. Look Back – check your solution and method of solution 1
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In-Class-Problem 11: Whirling Objects Two objects of equal mass m are whirling around a shaft with a constant angular velocity ω . The first object is a distance d from the central axis, and the second object is a distance 2 d from the axis. You may assume the strings are massless and inextensible. You may ignore the effect of gravity. Find the tensions in the two strings. As you begin this problem, consider what types of force diagrams you may need. In particular what body or system of bodies will use for your free body diagram. It never hurts to draw as many free body diagrams as you can. Solution: Free Body Diagrams: force diagrams for each object. v Newton’s Second Law, F = m 1 a v , in the radial direction for the inner object is 1 1 2 −= m d . r ˆ : TT 1 2 v Newton’s Second Law, F = m 1 a v , in the radial direction for the outer object is 1 1 r ˆ : m (2 d ) . 2 2 T We can now solve for the tension in the string between the inner object and the outer object. From the force equation for outer object, the tension in the string between the inner object and the outer object is 2
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This note was uploaded on 04/22/2011 for the course PHYS 1441 taught by Professor White during the Spring '08 term at UT Arlington.

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Ic_sol_w04d1_1 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01T Fall Term 2004 In-Class Problems 11-13 Uniform Circular

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