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Rigid body rotations inertia. Constant angular acceleration.

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Presentation on theme: "Rigid body rotations inertia. Constant angular acceleration."— Presentation transcript:

1 Rigid body rotations inertia

2 Constant angular acceleration

3 Example Placed on a long incline, a wheel is released from rest and rolls for 30.0 s until it reaches a speed of 10.0 rad/s. Assume its acceleration is constant, what angle did it turn through?

4 Reading Assignment 9.4: The moment of inertia is A. the small time a body needs to react to an external force B. a measure of mass distribution concerning rotation C. equal to the mass of a rotating object D. the time between alarm clock and eye-opening

5 Determine the moment of inertia of a ruler that is rotating around an axis perpendicular to it through its center of mass. The ruler has length L and mass M.

6 Determine the moment of inertia of the same ruler, this time rotating around an axis through one of its ends. Parallel-axis theorem

7 Determine the moment of inertia for a solid disk of mass M, radius R and thickness h around a rotational axis through the center, as shown. What will be the moment of inertia for the disk, if it is rolling on the ground?

8 The following items all have the same radius and mass. Rank them from smallest to largest rotational inertia. Solid disk Solid cylinderHoop Hollow cylinderSphere

9 Rotational kinetic energy Translation Rotation

10 Energy conservation again Determine the final linear speed of a solid cylinder released from rest on an incline as it overcomes a height difference of h.


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