[PDF] 5 MOMENTS COUPLES FORCES SYSTEMS & FORCE RESOLUTION



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5 MOMENTS COUPLES FORCES SYSTEMS & FORCE RESOLUTION

5. MOMENTS, COUPLES, FORCES SYSTEMS

& FORCE RESOLUTION (a) Translation (b) Translation & Rotation (c) Rotation

Concept of a Moment

When the Force is applied at the CG

When the Force is not applied at he CG

When the Force is not applied at the CG, & the body is hinged at the CG body

CG of the body

Objective: To explain the concept of a Moment

If a Force P is applied at the midpoint of the

free, rigid, uniform object, it will slide the object such that every point moves an equal distance. The object is said to

translate. If the same force is applied at some other point as in second figure, then the object will both translate and rotate.

If the point on the object is fixed against translation, (third figure) then the applied force causes the object to

rotate only.

Objective: Explanation of the Concept of Moment -

c ontinued This tendency of a force to produce rotation about some point is called the Moment of a force

Moment of a Force

Objective: Definition of Moment in Statics

Moment of a Force

F d

The tendency of a force to produce rotation of a body about some reference axis or point is called the MOMENT OF A FORCE

M=Fxd Objective: An example to illustrate the definition of Moment in Statics

F= 25#

15"

Lever arm

M= - F x d = -25 x 15= - 3

75 #-in

90 deg

d F

Moment = Force x Perpendicular Distance = Fxd

Example One

: Closing the D oor

Example Two:Tightening the NUT

Common Examples in the Application of the Concept of Moment Ob j ective: To ex p lain the conce p t of Moment in Statics with eve r y da y exam p les

Sign Convention for Moments

Clockwise negative

Anti-clockwise positive

Objective: To illustrat

e the sign conventions for Moment in Staticsquotesdbs_dbs2.pdfusesText_2