Question

3. When the falling mass phase lands, the string holding it up detaches from the axle-pulley on the rear wheel that it wraps around and the mass immediately triggers the mousetrap to start closing Imagine a string is tied to the end of the arm of the mousetrap, which travels straight to the edge of an axle-pulley of radius P that is tightly-fitted around the axle. The mousetrap arm has length L and the axle has a small radius A. This axle then runs through the center of and is tightly-fitted to the two wheels of radius R, on either end of the axle. This will be the front of the car. The mousetrap is mounted to the flat body of your car so that the center of rotation of the arm of the mousetrap is at the same height as the axle on the front of the car. The distance between the center of rotation of the mousetrap arm and the center of rotation of the axle-pulley is D For this example, let P 2cm0.02m A 1.5mm0.15cm 0.0015m R 6cm0.06m L 5cm0.05m D 13cm 0.13m (tight-fitting axle-pulley radius) (axle radius) (wheel radius) (mousetrap arm length) (distance between center of rotation mousetrap arm, and axle-pulley center) of Assume during the mousetrap-closing phase, which ends when the mousetrap arm closes by a magnitude of the angular displacement of T, there is no slipping of the string around the axle-pulley, the wheels roll When answering the following questions, you will need to solve first in symbol form, then using values xle-pulley aro the axle relative t he wheels wheels relati as to see how adjusting these values in the car's design will affect its displacement during this phase Here is a sketch, not to scale, of the important parts of the setup for this problem, including the part of the string that extends from the axle-pulley to the mousetrap arm (variable length S).

Answer 1

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