changing rotational motion

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Presentation transcript:

changing rotational motion Torque changing rotational motion § 10.1–10.2

Torque An influence causing angular acceleration angular analogue of Newton’s second law: tnet = Ia t = torque I = moment of inertia a = angular acceleration units?

Torque Definition t = Fl units? F = tangential component of force l = lever arm or moment arm units?

Lever Arm Shortest distance from line of action to point of interest Source: Young and Freedman, Figure 10.2

Poll Question Force P is applied to one end of a lever of length L. What is the magnitude of the torque about point A? PL sin q. PL cos q. PL tan q. PL sec q. PL cot q. PL csc q. Source: Young and Freedman, Test Your Understanding §10.1

Torque Vector Turning influence = torque = radius  force = r  F Units: Nm (not J) Source: Hewitt, Conceptual Physics

Poll Question What is the direction of the torque about point O from force F1?     Source: Young and Freedman, Figure 10.2

Poll Question What is the direction of the torque about point O from force F2?     Source: Young and Freedman, Figure 10.2

Whiteboard Work A 10,000-N truck is stalled 1/4 of the way across a 100-m bridge. What torque does its weight apply about the far support? r

Whiteboard Work What upward force must the near support provide to cancel the truck’s torque about the far support? r F

Whiteboard Work What upward force must the far support provide to support the weight of the truck? Hint: Several ways will work: forces on the bridge torques about the near support r F