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?

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?

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

3.5m1m

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

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?

The Greek letter Tau

Documents

Transcript of The Greek letter Tau

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