GATE Past Year Questions: Kinematics of Mechanisms | Theory of Machines (TOM) - Mechanical Engineering PDF Download

Link 2 rotates clockwise

Link 2 rotates counter clockwise

Link 2 does not move

Link 2 motion cannot be determined

Point P lies to the left of both the spools but at infinity along the line joining A and H

Point P lies in between the two spools on the line joint A and H, such that PH = 2AP

Point P lies to the right of both the spools on the line joining A and H, such that AH = HP

Point P lies at the intersection of the line joining B and C and the line joining G and F

6

5

4

3

P–2, Q–6, R–4, S–3

P–6, Q–2, R–4, S–1

P–6, Q–2, R–5, S–3

P–2, Q–6, R–5, S–1

P-1, Q-2, R-3, S-4

P-3, Q-4, R-2, S-1

P-2, Q-3, R-4, S-1

P-4, Q-2, R-1, S-3

Grashofs rule states that for a planar crankrocker four bar mechanism, the sum of the shortest and longest link lengths cannot be less than the sum of the remaining two link lengths.

Inversions of a mechanism are created by fixing different links one at a time.

Geneva mechanism is an intermittent motion device.

Grubler's criterion assumes mobility of a planar mechanism to be one.

PQ

QR

RS

SP

j = 2m – 3

m = 2j + 1

m = 2j – 3

m = 2j – 1

0.5

2.0

√2

1

2 rad/s

1.5 rad/s

0.5 rad/s

0.75 rad/s

a closed 4-bar chain having 4 revolute pairs

a closed 6-bar chain having 6 revolute pairs

a closed 4-bar chain having 2 revolute and 2 sliding pairs

an inversion of the single slider-crank chain

links of length p

links of length q

link of length r

link of length s

P-2 Q-3 R-1 S-4

P-3 Q-2 R-4 S-1

P-4 Q-1 R-2 S-3

P-4 Q-3 R-1 S-2

Double crank mechanism

Crank-rocker mechanism

Double rocker mechanism

Parallelogram mechanism

1 rad/s

3 rad/s

8 rad/s

64/3 rad/s

is zero

is 30 N

is 78 N

cannot be determined from the given data

S + L ≤ P + Q

S + L > P + Q

S + P ≤ L + Q  

S + P > L + Q

4

2√2

1

1√2

250

250√3

500

500√3

1/3

2/3

2

3

144.3

216.5

240.0

250.0

3

3/2

1

2/3

Both links can execute full circular motion

Both links cannot execute full circular motion

Only the output link cannot execute full circular motion

Only the input link cannot execute full circular motion

I and III

I and IV

II and III

II and IV

0

25

10

15

–ω²r

2ω²r

ω²r

–2ω²r

3

4

2

1

P-1 Q-3 R-1

P-5 Q-4 R-3

P-2 Q-3 R-1

P-4 Q-5 R-3

1

2

3

4

0

1

2

3

≤ - 1

0

1

≥ 2

-1

0

1

2

-3

0

1

2

3(n – 3) – 2j

3(n – 1) – 2j

3n – 2j

2j – 3n + 4