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# TEST BANK FOR Theory Of Machine And Mechanisms 4TH Edi By Gordon R. Pennock

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The World of Mechanisms

1.1 Sketch at least six different examples of the use of a planar four-bar linkage in practice.

They can be found in the workshop, in domestic appliances, on vehicles, on agricultural

machines, and so on.

Since the variety is unbounded no standard solutions are shown here.

1.2 The link lengths of a planar four-bar linkage are 0.2, 0.4, 0.6 and 0.6 m. Assemble the

links in all possible combinations and sketch the four inversions of each. Do these

linkages satisfy Grashof's law? Describe each inversion by name, for example, a crankrocker

mechanism or a drag-link mechanism.

s 0.2, l 0.6, p 0.4, q 0.6 ; these linkages all satisfy Grashof’s law

since 0.20.6 0.40.6. Ans.

Drag-link mechanism Drag-link mechanism Ans.

Crank-rocker mechanism Crank-rocker mechanism Ans.

Double-rocker mechanism Crank-rocker mechanism Ans.

1.3 A crank-rocker linkage has a 250 mm frame, a 62.5 mm crank, a 225 mm coupler, and a

187.5 mm rocker. Draw the linkage and find the maximum and minimum values of the

transmission angle. Locate both toggle positions and record the corresponding crank

angles and transmission angles.

Theory of Machines and Mechanisms, 4e Uicker et al.

© Oxford University Press 2015. All rights reserved.

Extremum transmission angles: min 1 53.1 max 3 98.1 Ans.

Toggle positions: 2 2 4 4 40.1 59.1 228.6 90.9 Ans.

1.4 In Fig. P1.4, point C is attached to the coupler; plot its complete path.

1.5 Find the mobility of each mechanism illustrated in Fig. P1.5.

Theory of Machines and Mechanisms, 4e Uicker et al.

© Oxford University Press 2015. All rights reserved.

(a) n 6, j1 7, j2 0; m 361 27 10 1 Ans.

(b) 1 2 n 8, j 10, j 0; m 381 21010 1 Ans.

(c) 1 2 n 7, j 9, j 0; m 37 1 29 10 0 Ans.

Note that the Kutzbach criterion fails in this case; the true mobility is m=1. The

exception is due to a redundant constraint. The assumption that the rolling contact

joint does not allow links 2 and 3 to separate duplicates the constraint of the fixed

link length 2 3 O O .

(d) 1 2 n 4, j 3, j 2; m 341 23 12 1 Ans.

Notice that each coaxial pair of sliding ground joints is counted as only a single

prismatic pair.

1.6 Use the Kutzbach criterion to determine the mobility of the mechanism illustrated in Fig.

P1.6.

1 2 n 5, j 5, j 1; m 351 25 11 1 Ans.

Notice that the double pin is counted as two single j1 pins.

1.7 Find a planar mechanism with a mobility of one that contains a moving quaternary link.

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