195Rotational Dynamics (1)

195Rotational Dynamics (1) - Physics 195 Rotational...

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Physics 195 Rotational Dynamics Page 1 of 13 SAN DIEGO MESA COLLEGE Name_________________________ PHYSICS 195A LAB REPORT Date __________Time___________ Partners ______________________ TITLE: Rotational Dynamics ______________________________ ______________________________ ______________________________ Objective: 1. To test the experimental validity of the parallel axis theorem. 2. To determine the relationship between the rotational inertia and the mass distribution of an object. 3. To test the theoretical equations for rotational inertia by comparison with experimental values. Theory: I. The dynamic equation for rotation of a rigid body about a fixed axis, A . α τ A A ext I = II. The definition of angular acceleration; 2 2 dt d dt d θ ϖ = = III. The definition of torque (with diagram); Θ = = sin , RF F x R o
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Physics 195 Rotational Dynamics Page 2 of 13 IV. Derive the expression 2 1 i n i i r m I = = from the rotational kinetic energy of an object. (hint: v = ϖ r) Your derivation: V. Theoretical relationships for the rotational inertia of various objects; Solid cylinder; There are two identical black cylinders in this lab. 2 2 Mr I cm = Hollow cylinder; ) ( 2 2 2 inner outer cm R R M I + = Square bar; [ ] 2 2 12 B A M I cm + = Parallel Axis Theorem; 2 MD I I cm PA + = Equipment: R otational A ir T ables Electronic balance Ringstand with 30cm rod Box of discs for RAT Tube clamp Air regulator Box of accessories for RAT Ethanol in 250ml bottle Tissues (for cleaning discs) Transformer for RAT Masking Tape Spool of thread Plumb bob Vernier calipers Scissors Meter stick 12” ruler
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Physics 195 Rotational Dynamics Page 3 of 13 Setup: Procedure: A. Check to make sure that the clamp on the bottom hose is open (see Fig. 1). When the clamp is open and the hose is not crimped, the top disk will rotate when pushed but the bottom disk will not move. B. Level the Air table using the “bubble level” provided. C. Connect the tube from the air regulator to the compressed air supply on the lab table as per Fig. 1. D. Carefully place the steel “base” disk (see Fig. 2) on the spindle of the air table. To do this, hold the disk by the edges and parallel to the table and line up the center hole of the disk with the spindle and slowly lower the disk onto the spindle . *The base disk has an orange label on the bottom of the disk. E.
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195Rotational Dynamics (1) - Physics 195 Rotational...

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