Simple Machines

LEVERS IMA =

Length of Effort Arm Length of Resistance Arm

=

LE LR

AMA =

Resistance Force

=

Effort Force

FR = AMA x FE 1) Find the unknown mechanical advantage for each lever in each of the following problems: a)

Given:

Find:

LE =

2.50 m

LR =

0.50 m

IMA =

b)

K

Given:

Find:

FR =

200 N

FE =

25 N

AMA =

2) Classify the device as a Class 1, 2, or 3 lever: FE

Class

K

FR

FE

Class

K

FR

FE

Class

K

FR

FE

Class

FR

K canoe paddle

FE

Class

K row boat oar

FR

K

Class

FE shovel FR

3) Find the ideal and actual mechanical advantage for the following lever: 2.1 m a)

Given:

Find:

LE =

m

LR =

m

0.3 m Given:

FR =

F = 100 N

K

IMA =

FE =

w = 650 N

Find:

AMA =

4) Find the ideal and actual mechanical advantage for the following lever:

a)

Given:

Find:

LE =

m

LR =

m

Given:

FE = FR =

F = 300 N

K

IMA =

0.7 m

1.4 m

w = 550 N

Find:

AMA =

5) Find the ideal mechanical advantage and the resistance force of the nail: F = 50 N a)

Given:

Find:

LE =

m

LR =

m

IMA =

Given: 0.25 m

K

FE = AMA

Find:

FR=

0.05 m

6) Find the ideal mechanical advantage and the effort force needed to lift the rock: FR

FR AMA

a)

Given:

Find:

LE =

m

LR =

m

IMA =

Given:

FR = AMA

K

Find:

FE=

2.2 m .40 m FE = ?

w = 750 N

=

FR FE

problems:

K

N N

K

N N

K

N Assume AMA = IMA N

FR

K

FR FE

AMA

N Assume AMA = IMA N

K

PULLEYS IMA =

Effort distance Resistance distance

=

DE DR

or

AMA =

Resistance Force Effort Force

=

IMA = Number of supporting ropes Supporting ropes Non-supporting rope (A supporting rope carries part of the weight of the load.)

DE IMA

DR

AMA

1) Find the ideal mechanical advantage for each pulley system shown:

Find:

IMA =

K

Find:

IMA =

Find:

K

IMA =

Find:

IMA =

2) Find the actual mechanical advantage for each pulley system shown:

F = 220 N

w = 400 N

Given:

Find:

FE =

N

FR =

N

AMA =

w = 700 N

Given:

FE = FR =

K

Find:

AMA =

F = 275 N

F = 300 N w = 1000 N w = 850 N

Find:

AMA =

K

3) Find the resistance distance for each pulley system below:

Find:

AMA =

DE = .75 m DE = 1. 2 m DE IMA

w = 1000 N w = 850 N

DR = ?

DR = ? Given:

DE =

m

Given:

IMA Find:

DE = IMA

D R=

m

K

D R=

Find:

4) Find the effort distance for each pulley system below:

DE = ? DE = ? DE IMA

w = 1000 N DR = .45 m

w = 850 N DR = .75 m

Given:

DR =

m

Given:

IMA Find:

DE =

DR = IMA

m

K

Find:

DE =

=

FR FE

FR AMA

FE

K

K

F = 250 N

w = 700 N

N N

K

K

DE DR

IMA

m

K

m

DE DR

IMA

m

m

K

INCLINED PLANES IMA =

Effort Distance

=

Resistance Distance

DE DR

AMA =

Resistance Force Effort Force

=

FE

DE

DR = height

FR = w (weight)

1) Find the unknown mechanical advantage for each inclined plane in each of the following problems: a)

Given:

Find:

DE =

6.50 m

DR =

0.50 m

b)

K

IMA =

Given:

w=

200 N

FE =

40 N

Find:

AMA =

2) Find the ideal and actual mechanical advantage for the following inclined plane:

a)

Given:

Find:

DE =

m

DR =

m

K

IMA =

DE = 10 m

FE = 200 N = Wt

Given:

Find:

FE =

N

FR =

N

N 500

K

AMA =

3 a) A parking garage uses a ramp that is 3.0 m high and 15 m long to get cars up to the second level. What is the IMA of the ramp? a)

Given:

Find:

DE =

m

DR =

m

IMA =

15 m

K

b) If the car's weight is 9800 N, what effort force must the car's engine apply to go up the ramp?

Given: AMA =

FR = Find:

FE =

(Assume AMA = IMA)

N N

K

=

FR FE

= w (weight)

following problems:

K

FE = 200 N

h = 2.5 m

3.0 m