Moment of Force (Torque)

1. 19/04/10 4th year High School Moment of Force (Torque) Elisa A. Valladolid Ernesto Rondon High School

2. OBJECTIVE • Describe the moment of force in terms of it’s turning effects. • State the principle of moments for a body in equilibrium. • Apply principle of moments in everyday life.

3. Why moment of force/ torque? Have you experienced playing seesaw? Can you play it alone? How does it turns?

4. Which is easiest way of opening the door? (Demonstration; A. Opening the door by pulling/ pushing from the center . B. Opening the door through the knob.

5. Why? (Share your answer with your seatmates) ( Explain why you choose A or B )

6. Situation A: A greater force is needed if we open the door near the hinge. Situation B: Less force or effort is needed if we pull furthest from the hinge.

7. How does the door make it turn? (the turning effect on the door is in the hinge, which a fixed point also called the pivot and the turning effect of force is also called Moment of Force /Torque)

8. What is the amount of moment of force/Torque? Perform Activity no. ___ (Moment about a fixed pivot) ( Each group have a prepared set-up, and an activity sheet, they have to prepare their output in manila paper and present in class.)

9. Principle of moments F Pivot/ fulcrum d

10. Again, turning effect of a force is called moment of force or torque. Moment of a force = force x perpendicular distance from the pivot = F x d SI unit is Newton-meter (N m)

11. Principle of moments F F1 F2 d1 d2 Anticlockwise moment Clockwise moment Pivot/fulcrum

12. Principle of moments: When an object is in equilibrium, the sum of clockwise moments about any point is equal to the sum of anticlockwise moments about the same point. Anticlockwise moment = Clockwise moment

13. Any Questions?

14. Evaluation 1. What is the name given to turning effect of a force about a pivot? a. inertia b. moment c. pressure d. resultant

15. CORRECT! The turning effect of force is called moment of force or torque. Congratulations

16. 2. It is better to use a longer spanner to undo a nut because a. less force is exerted be the user. b. less moment is applied on the spanner. c. less friction is present. d. greater inertia is present.

17. CORRECT! Moment of force = force x distance with a greater distance it lessen the moment. Congratulations

18. 3. A door requires a minimum moment of 32.5 N m to open it, hinge handle X

19. What is the minimum distance between the handle and the hinges, if the door is to be pulled with a force on the handle not greater than 50 N? a. 0.33 m b. 0.25 m c. 0.65 m d. 1.54 m

20. CORRECT! Moment of force = F x d 32.5 = 50 N x d 32.5 = d 50 0.65 m = d Congratulations

21. 4. The diagram below shows a light rod with weights hanging from it. The system is not in equilibrium. What is the moment required to bring the system into equilibrium? 0.8m 1.5 m 4n 5n

22. moment direction a. 2 Nm clockwise b. 6 Nm anticlockwise c. 4 Nm clockwise d. 2 Nm anticlockwise

23. CORRECT! Anticlockwise moment = clockwise moment F x d = F x d 5 N x .8 m = 4 N x 1.5 m 4Nm= 6 Nm To make it in equilibrium need 2nm from the Anticlockwise moment. Congratulations

24. 5. A light rod is in equilibrium under the action of the force as shown below. What is the magnitude of the force F? 20 N F 12 N 2m 1m 1 m a. 28 N b. 8 N c. 16 N d. 4 N

25. CORRECT! Anticlockwise moment = clockwise moment F3 x d3 = F1 x d1 + F2 x d2 20 N x 2m = F x 1 m + 12 N x 1 m 40 Nm = 1 F + 12 Nm 40 Nm -12 Nm = 1 F 28 Nm = 1 F 1m 1 28 N = F Congratulations

26. Assignment A. What is the center of gravity? B. How is the center of gravity related to stability?

27. Sorry! That was the wrong answer