The Greek letter Tau
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The Greek letter Tau
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The Greek letter Tau. The Physical Study of Balance. Equilibrium. Conditions for equilibrium. Sum of forces is zero Tendency to rotate is zero. Torque. the effectiveness of a force in causing rotation on a rigid object also called moment of force. Rigid Object vs. Point/Particle Model. - PowerPoint PPT Presentation
Transcript of The Greek letter Tau
The Greek letter Tau
EquilibriumThe Physical Study of Balance
Conditions for equilibriumSum of forces is zeroTendency to rotate is zero
Torquethe effectiveness of a force in causing
rotation on a rigid objectalso called moment of force
Rigid Object vs. Point/Particle Model
Prerequisite Observation for 2nd Condition
Which of the following forces will effectively rotate the beam at point O?
Prerequisite Observation for 2nd ConditionWhich of the following forces
will effectively rotate the beam at point O?
Prerequisite Observation for 2nd ConditionWhich of the following forces
will effectively rotate the beam at point O?
Prerequisite Observation for 2nd ConditionWhich of the following forces
will effectively rotate the beam at point O?
Factors that determine torque The amount of force perpendicular to the lever arm. The distance of the force from the pivot point.
Guidelines for Problem Solving Illustrate all the forces and the lever arm for each. Torque is the product of force and its distance
from the point of rotation. Force and the lever arm must always be
perpendicular. Establish the point of rotation. Equate the sum of forces to zero. Equate the sum of torques to zero.
ExerciseA 50.0 N uniform beam, 10.0 m in length, is suspended on a support as shown. If the fulcrum divides the beam into the ratio of 2:3, where should a 6.00 kg object be placed to balance the beam?
x
Exercise In a Singkil dance, two men are carrying a princess
on a bamboo pole that is 5.00 m long and weighs 200.0 N. If the princess weighs 425 N and sits 1.50 m from one end, how much weight must each man support?
Exercise (Follow up) Where should the princess sit so that one man
supports her with a force twice that of the other?
?
Exercises Consult page
117 of your book and read Practice Exercise 5.8
Ry
Rx
w
f
3.5m1m
lRx
lw
ExercisesA uniform 50.0 N ladder rests on a frictionless wall as shown. What minimum coefficient of friction is needed on the ground to prevent it from slipping? 2m
5m
ExercisesA uniform aluminum beam 9.00 m long, weighing 300 N, rests symmetrically on two supports 5.00 m apart. A boy weighing 600 N starts at point A and walks toward the right. From your diagram, how far beyond point B can the boy
walk before the beam tips?
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