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Physics I Lab Manual 2011 38

# Physics I Lab Manual 2011 38 - a pulley that the string...

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EXPERIMENT 4. NEWTON’S LAWS we can say that the mass of an object is a constant of proportionality between the force applied on the object and its acceleration - we will call the mass found this way the “inertial mass”, as opposed to the “gravitational mass” that is found from the objects weight. The equivalence principle tells us that these two deﬁnitions of mass are equivalent, and results in objects having the same acceleration due to gravity, regardless of their weight. In this lab we will determine the mass of an object by measuring the net force on it and its acceleration. This measured mass will then be compared to the mass found from its weight. In this experiment, the test object will be suspended by a string from a force sensor and the object will be accelerated in the vertical direction. That means there will be two forces on the object, its weight W and the tension in the string T which is measured by the force sensor. The acceleration of the object will be determined by measuring the angular acceleration of
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Unformatted text preview: a pulley that the string passes over using a digital rotation sensor. The linear acceleration of the string a as well as the test object that it connects to will be related to the angular acceleration α of the pulley of radius r by a = αr . Newton’s third law will be tested by connecting two force sensors together and measuring the force on each independently as various forces are applied by one sensor on the other Practice Consider a test object with a weight of 2.00 N, attached to a string (as described in the “Theory” section) with a tension of 2.10 N that passes over an ideal pulley of radius 2.50 cm. 1. What is the magnitude of the net force on the object? 2. If the pulley has an angular acceleration of 19.7 rad/s 2 what is the magnitude of the linear acceleration of the test object? 3. What is the measured inertial mass of the test object? 28...
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