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Yoke Mechaism

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Yoke Mechaism

Background of Study

In this laboratory we will investigate the kinematics of some simple mechanisms used to convert rotary motion into oscillating linear motion and vice-versa. Pure simple harmonic motion is produced by the Scotch Yoke mechanism when driven by an eccentric or crank. Scotch Yoke takes a revolution per minute per minute and converts it to a linear velocity.  It can be shown that:

X = r ( 1 – cos  )[pic 1]

By differentiation:

        Velocity [pic 2]

        Acceleration [pic 3]

Objectives

  1. To demonstrate the action of a simple of crank-driven Scotch Yoke mechanism.
  2. To determine graphically the relationship between the linear displacement of the Scotch Yoke and the angular displacement of the crank.

Apparatus

Simple crank-driven scotch Yoke mechanism

Procedures

  1. Turned the circular ruler clock wise started from 10 until 360°.[pic 4]
  2. Displacement is measured at other side of crank-driven have ruler and indicator to shown the length and recorded.
  3. When full rotation is turn after that, turned the circular ruler anti clock wise started from 360° until 10°.
  4. And recorded.
  5. Create a table and graph[pic 5]

Data and analysis

Clock wise

Θ ( ° )

L ( mm )

0

0

10

0.5

20

2

30

3

40

6

50

9

60

13

70

17

80

21

90

25.5

100

29.5

110

34

120

38

130

41.5

140

44.5

150

47

160

49

170

50

180

50.5

190

50

200

49

210

47

220

44.5

230

41.5

240

38

250

34

260

29.5

270

25.5

280

21

290

17

300

13

310

9

320

6

330

3

340

2

350

0.5

360

0

Anti-clock wise

Θ ( ° )

L ( mm )

360

0

350

0.5

340

2

330

3

320

6

310

9

300

13

290

17

280

21

270

25.5

260

29.5

250

34

240

38

230

41.5

220

44.5

210

47

200

49

190

50

180

50.5

170

50

160

49

150

47

140

44.5

130

41.5

120

38

110

34

100

29.5

90

25.5

80

21

70

17

60

13

50

9

40

6

30

3

20

2

10

0.5

0

0

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