Mechanical Advantage

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MECHANICAL ADVANTAGE MECHANICAL ADVANTAGE K WARNE K WARNE

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A set of slides created to teach Mechanical Advantage to learners at Bishops Diocesan College in Cape Town.

Transcript of Mechanical Advantage

Page 1: Mechanical Advantage

MECHANICAL MECHANICAL ADVANTAGEADVANTAGE

K WARNEK WARNE

Page 2: Mechanical Advantage

Moment of ForceMoment of Force The moment of a force about a point is the product of the The moment of a force about a point is the product of the magnitude magnitude

of the forceof the force and the and the perpendicular distanceperpendicular distance from the point to the from the point to the line of the force.line of the force.

Page 3: Mechanical Advantage

Calculating TorqueCalculating Torque

Calculate the moment of the force, or ……………., due to each force when several forces act on the same object using the equation:

= …………= …………

F 2

F1

== …………………….. ……………………..When calculating torque the ……………………………………………. of all the PERPENDICULAR FORCES must be used.

………………

Page 4: Mechanical Advantage

Calculating TorqueCalculating Torque

Calculate the moment of the force, or torque, due to each force when several forces act on the same object using the equation:

= F= F r r

F 2

F1

F2

== (F (F11. r. r11) + (F) + (F22.r.r22))When calculating torque the VECTOR SUM of all the PERPENDICULAR FORCES must be used.

TORQUE

Page 5: Mechanical Advantage

EquilibriumEquilibrium Know that for an object to be in equilibrium …………. the sum of the

…………. acting on the object and the sum of the …………………. of the forces must be ……………….

Solve problems involving objects in equilibrium.

F2

F3F1

FORCES (Linear) in equilibrium .: …………………...

MOMENTS in equilibrium .: Choose a fulcrum. (…..)

………………………………………………………………….

x1 x2

If a 60 Kg person stands 2 meters from one end of a 3 meter scaffolding plank what force is needed to support each end of the plank?

Page 6: Mechanical Advantage

EquilibriumEquilibrium Know that for an object to be in equilibrium BOTH the sum of the

FORCES acting on the object and the sum of the MOMENTS of the forces must be ZERO.

Solve problems involving objects in equilibrium.

F2

F3F1

FORCES (Linear) in equilibrium .: F1 + F2 + F 3 = 0

MOMENTS in equilibrium .: Choose a fulcrum. (F1)

(F1.0) + (F2.x1) + (F3.x2) = 0

x1

x2

If a 60 Kg person stands 2 meters from one end of a 3 meter scaffolding plank what force is needed to support each end of the plank?

Page 7: Mechanical Advantage

EquilibriumEquilibrium Know that for an object to be in equilibrium BOTH the sum of the

FORCES acting on the object and the sum of the MOMENTS of the forces must be ZERO.

F2

FORCES (Linear) in equilibrium .: F1 + F2 + F 3 = 0

MOMENTS in equilibrium .: Choose a fulcrum. (F1)

(F1.0) + (F2.x1) + (F3.x2) = 0

x1 x2

If a 60 Kg person stands 2 meters from one end of a 3 meter scaffolding plank what force is needed to support each end of the plank?

F1

Page 8: Mechanical Advantage

LeversLevers

• Describe the terms “load” and “effort” for a lever• Define “mechanical advantage” as the ratio of

“load/effort” and calculate the mechanical advantage for simple levers.

Page 9: Mechanical Advantage

LeversLevers• Describe the terms “load” and “effort” for a lever• Define “mechanical advantage” as the ratio of

“load/effort” and calculate the mechanical advantage for simple levers

LoadEffortEffortE

L

el

If equilibrium: E x eIf equilibrium: E x e = L x l = L x l

Page 10: Mechanical Advantage

Mechanical AdvantageMechanical Advantage

Mechanical Advantage is the RATIO of the LOAD to the Mechanical Advantage is the RATIO of the LOAD to the EFFORT.EFFORT.

Apply the concept of mechanical advantage to everyday situations.

Mechanical Advantage =

?

N

Page 11: Mechanical Advantage

Mechanical AdvantageMechanical Advantage

Mechanical Advantage is the RATIO of the LOAD to the Mechanical Advantage is the RATIO of the LOAD to the EFFORT.EFFORT.

Apply the concept of mechanical advantage to everyday situations.

Mechanical Advantage = Load

Effort

N

Page 12: Mechanical Advantage

Types of LeversTypes of Levers

Page 13: Mechanical Advantage

Types of LeversTypes of Levers