The Grubler's criterion for determining the degrees of freedom (n) of a mechanism having plane motion is (where $$l$$ = Number of links and j = Number of binary joints)

Match the following Types of mechanism Motion achieved P. Scott Russel mechanism 1. Intermittent motion Q. Geneva mechanism 2. Quick return motion R. Off set slider crank mechanism 3. Simple harmonic motion S. scotch Yoke mechanism 4. Straight line motion

A

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

B

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

C

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

D

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

A palnar mechanism has 8 links and 10 rotary joints. The number of degrees of freedom of the mechanism, using Grubler’s criterion, is

A

0

B

1

C

2

D

3

The Kutzbach criterion for determining the number of degrees of freedom (n) is (where $$l$$ = number of links, j = number of joints and h = number of higher pairs)

A

n = 3($$l$$ - 1) - 2j - h

B

n = 2($$l$$ - 1) - 2j - h

C

n = 3($$l$$ - 1) - 3j - h

D

n = 2($$l$$ - 1) - 3j - h

The Grubler’s criterion for determining the degrees of freedom (n) of a mechanism having plane motion is

A

n = (l – 1) – j

B

n = 2 (l – 1) – 2j

C

n = 3 (l – 1) – 2j

D

n = 4 (l – 1) – 3j

The number of binary links, number of binary joints and number of ternary joints in Peaucelliar mechanism is

A

6,6,0

B

8,2,4

C

8,4,2

D

8,8,0

The figure shows a mechanism with 3 revolute pairs (between the links 1 and 2, 2 and 3, and 3 and 4) and a prismatic pair (between the links 1 and 4). Which one of the four links should be fixed to obtain the mechanism that forms the basis of the quick-return mechanism widely used in a shaper?

A

Link 1

B

Link 2

C

Link 3

D

Link 4

Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?

A

One

B

Two

C

Three

D

Four

Consider the following types of motion. A. Periodic Motion B. Straight Line Motion C. Rotational Motion D. Circular Motion The motion of a pendulum can be categorised in which of the following types of motion?

A

A, D

B

B and C

C

A

D

A, D, C

Statement I: In four-bar chain, whenever all four links are used, with each of them forming a turning pair, there will be continuous relative motion between the two links of different lengths. Statement II: For a four-bar mechanism, the sum of the shortest and longest link lengths is not greater than the sum of remaining two links.

A

Both Statement I and Statement II are individually true, and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are individually true, but Statement II is not the correct explanation of Statement I

C

Statement I is true, but Statement II is false

D

Statement I is false, but Statement II is true

A typewriter mechanism has 7 number of binary joints, six links and none of higher pairs. The mechanism is

A

kinematically sound

B

not sound

C

soundness would depend upon which link is kept fixed

D

none of the mentioned

The Grubler's criterion for determining the degrees of freedom (n) of a mechanism having plane motion is (where $$l$$ = Number of links and j = Number of binary joints)

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