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30N

4250

10N 10N

1.

20.1

22.3

38.6

46.0

TRANSLATIONAL:

Need :45.9 up

16.3 right

45.9

16.3

48.7 N @ 70°

ROTATIONAL:

10(7) = 70 CCW

20.1(5)= 101 CW

10(3.5)= 35 CCW

46(2) = 92 CW

NET = 88 Nm CW

48.7 N

70°

Where to put it:

= F d

88 = 45.9 dOnly the part causes torque!

1.91 m = dYou need CCW….so think if it should be 1.91 meters to left or right!

Need : 88 Nm CCW

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700 N

78

55

2. All angles of a triangle add to 180

47

55

55

800

T?

CW = CCW sin55(800)(2.5)+ sin55(700)(5) = sin47(T)(5)

1638 + 2867 = 3.657 T

1230 N = T

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3.

3050 65

Break the forces into components

11

19.1

7.71

9.19

18.1

8.45

TRANSLATIONAL: ROTATIONAL: Where to put it:

Need : 16.3 down

2.94 left

16.6 N @ 80

2.94

16.3

11(2) = 22.0 CCW

9.19(.5) = 4.6 CW

18.1(2) = 36.2 CCW

NET = 53.6 Nm CCW

Need: 53.6 Nm CW

= F d

53.6 = 16.3 d

3.29 m = d

Only the part causes torque!

You need CW….so think if it should be 3.29 meters to left or right!

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20.TA TB

205675

Put pivot pt on one of the

forces you don’t know(either one)

ROTATIONAL:

CW = CCW

205(1.5) + 675(2) = TB(3)

307.5 + 1350 = 3TB

553 N = TB

You could move pivot pt to other end to get TB

..or use TRANS like I did

TRANSLATIONAL:

UP = DOWN

TA + 553 = 205 + 675

TA = 327 N

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21.

196

T30°

ROTATIONAL:

CW = CCW

196 L = sin30 T L

T = 392 N

TRANSLATIONAL:

Up & Down already cancel

Need: cos30(392) to right

339 N to right

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22.

2000

T

1200

Tension is a right angle25

25

25

ROTATIONAL:

CW = CCW

sin25(2000)L + sin25(1200)(½ L) = T(¾ L)

845 + 254 = .75T

1465 N = T

TRANSLATIONAL:

619

1327

Break tension into Components to look at

forces UP, DOWN, LEFT, & RIGHT

Need: 1327 right 2581 up

2000 + 1200 - 619 1327

2581

2902 N @ 63