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Physics 101:  Lecture 14 Torque and Equilibrium ,[object Object],Exam II
Review ,[object Object],[object Object],[object Object],[object Object],[object Object]
You Know Torque! ,[object Object],[object Object],[object Object],Balance Demo 1 kg 2kg 50 cm 0  25  50  75  100
Torque ,[object Object],[object Object],[object Object],[object Object]
ACT ,[object Object],[object Object],[object Object],CORRECT
ACT 2 ,[object Object],[object Object],[object Object],CORRECT
Torque Example and ACT ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],= 65 N m 30 F=89 N r = 0.84 m
Equilibrium Acts ,[object Object],[object Object],[object Object],F F Y direction:    F y  = ma y +F – F = 0 Yes, it rotates! y x
Equilibrium ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Balance Demo    = 0 9.8 (0.5) – (19.6)d = 0 d  = 25 9.8 N 19.6 N 50 cm d
Static Equilibrium and  Center of Mass ,[object Object],[object Object],[object Object],[object Object],Center of mass pivot d W=mg
Static Equilibrium A method to find center of mass of an irregular object Not in equilibrium Equilibrium Center of mass pivot d W=mg Torque about pivot    0 Center of mass pivot Torque about pivot = 0
Preflight  ,[object Object],[object Object],[object Object],[object Object],“ assume r for F1(person on the left to the log) is 1/4R, then after calculation i get F1=2F2” “ The guy on the left has to support more weight because he is further in and has to support more of the board. ” CORRECT
Preflight ,[object Object],[object Object],[object Object],[object Object],Look at torque about center: F R  L – F L  L/2 = 0  F R = ½ F L   CORRECT mg F L F R L/2 L
Preflight ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Homework 8 Hints ,[object Object],A B 1 meter 1 meter 1) Draw FBD 2)   F = 0 3) Choose pivot 4)   = 0 F A  + F B  – mg – Mg = 0 -F A  (1) sin(90)+ F B  (0) sin(90) + mg (0.5)sin(90) + Mg(0.5) sin(90) = 0 F A  = 0.5 mg + 0.5 Mg  = 612.5 Newtons F A F B Mg mg 1 meter 0.5meter
Homework 8 Hints ,[object Object],[object Object],A B 1 meter 1 meter
Homework 8 Hints ,[object Object],A B 1 meter 1 meter Just before board tips, force from A becomes zero 1) Draw FBD 2)   F = 0 3) Choose pivot 4)   = 0 F B  – mg – Mg = 0 F B  (0) sin(90) + mg (0.5)sin(90) – Mg(x) sin(90) = 0 0.5 m = x M F B Mg mg 0.5meter x
Sign Problem ,[object Object]
Equilibrium Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],mg F 1 F 2
Homework 8 Hints ,[object Object],Using  F TOT  = 0 :  T = m 1 g + m 2 g + Mg  allows you to solve for m 1 T Mg m 2 g m 1 g
[object Object],   (m 1 g) = 0  since lever arm is 0  x T Mg m 2 g m 1 g
   (Mg   ) = -Mg L/2    (m 1 g) = 0  since lever arm is 0  L/2 T Mg m 2 g m 1 g
   (Mg   ) = -Mg L/2    (m 1 g) = 0  since lever arm is 0  x    (T   ) = T x T Mg m 2 g m 1 g
Work Done by Torque ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Summary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Lecture14

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  • 11. Static Equilibrium A method to find center of mass of an irregular object Not in equilibrium Equilibrium Center of mass pivot d W=mg Torque about pivot  0 Center of mass pivot Torque about pivot = 0
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  • 22. (Mg ) = -Mg L/2  (m 1 g) = 0 since lever arm is 0 L/2 T Mg m 2 g m 1 g
  • 23. (Mg ) = -Mg L/2  (m 1 g) = 0 since lever arm is 0 x  (T ) = T x T Mg m 2 g m 1 g
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Editor's Notes

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  2. Steel from podium
  3. Steel from podium
  4. Painter homework problem. Get demo here have man stand at several places calculate force on each support. Right above support, middle
  5. Painter homework problem. Get demo here have man stand at several places calculate force on each support. Right above support, middle
  6. Painter homework problem. Get demo here have man stand at several places calculate force on each support. Right above support, middle