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ROTATIONAL INERTIA AND THE ROTATIONAL SECOND LAW

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Presentation on theme: "ROTATIONAL INERTIA AND THE ROTATIONAL SECOND LAW"— Presentation transcript:

1 ROTATIONAL INERTIA AND THE ROTATIONAL SECOND LAW

2 K of a Rotating Object v m the ½ and ω are constant
I is the moment of inertia

3 Moment of Inertia or Rotational Inertia

4 Some Formulas

5 Equations

6 Net Torque = 0 If an object is not rotating (“at rest”) the net torque is zero If an object is rotating at a constant angular speed, the net torque is zero

7 A pulley has a mass of 2 kg and a radius of 0. 5 m
A pulley has a mass of 2 kg and a radius of 0.5 m. A rope is passed over the pulley and tied to a 10 kg mass. What is the tension in the rope on the other side of the pulley if the pulley doesn’t move?

8 I Rotational “Second Law”
If the net torque is not zero then the object will experience an angular acceleration. I

9 A pulley has a mass of 2 kg and a radius of 0. 5 m
A pulley has a mass of 2 kg and a radius of 0.5 m. A rope is passed over the pulley with a tension of 98 N on one side. What is the tension in the rope on the other side of the pulley if the pulley has an acceleration of 1 rad/s2?

10 Atwood Machine

11

12 Problem Mass = 3.0 kg Radius = 0.25 m Mass = 5.0 kg Mass = 10.0 kg
What is the acceleration of the 10.0 kg mass? Mass = 5.0 kg Mass = 10.0 kg


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