# DEGREES OF FREEDOM MULTIPLE CHOICE QUESTIONS (MCQ) WITH ANSWERS

## DEGREES OF FREEDOM

## MULTIPLE CHOICE QUESTIONS

## (MCQ) WITH ANSWERS

### Degrees of freedom are the number of

### independent variables for free motion of

### a body or a mechanism. MCQ on degrees

### of freedom increases the level of understanding

### and clarity. A particle in space has threes of freedom.

### A rigid body in space has six degrees of freedom.

### Motions are decreased by constraints. A simple

### supports reduces one degree of freedom. A pivot

### support reduces two degrees of freedom. A fixed

### support reduces three degrees of freedom. All

### machines and mechanisms have restricted motion.

### Thus some constraints are put on these.

### Fig. Six Degrees of Freedom

### 1. Number of degrees of freedom is

#### (a) Minimum independent variables

(b) Maximum number of independent variables

(c) Can’t say

(d) None

ANS: (b)

### 2. A car moving on a road has

#### (a) 2 degrees of freedom

(b) 3 degrees of freedom

(c) 4 degrees of freedom

(d) None

ANS: (a)

### 3. A ship moving in an ocean has

#### (a) 2 degrees of freedom

(b) 3 degrees of freedom

(c) 4 degrees of freedom

(d) None

ANS: (c)

### 4. A plane moving in space has

#### (a) 3 degrees of freedom

(b) 6 degrees of freedom

(c) 9 degrees of freedom

(d) None

ANS: (b)

### 5. Degrees of freedom of a point in space is

#### (a) 3 degrees of freedom

(b) 6 degrees of freedom

(c) 9 degrees of freedom

(d) None

ANS: (a)

### 6. A planar mechanism has

#### (a) 3 degrees of freedom

(b) 6 degrees of freedom

(c) 9 degrees of freedom

(d) None

ANS: (a)

### 7. A space mechanism has

#### (a) 3 degrees of freedom

(b) 6 degrees of freedom

(c) 9 degrees of freedom

(d) None

ANS: (b)

### 8. Example of a special mechanism is

#### (a) Crane

(b) Sliding pair

(c) Both (a) & (b)

(d) None

ANS: (a)

### 9. Example of a plane mechanism is

#### (a) Crane

(b) Sliding pair

(c) Both (a) & (b)

(d) None

ANS: (b)

### 10. Minimum number of fixed links in a mechanism is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 11. Number of degrees of a mechanism in space with n links with m fixed links is

#### (a) f = 6 (n-m)

(b) f = 6n-m

(c) f =3 (n-m)

(d) None

ANS: (a)

### 12. Number of degrees of a mechanism in space with n links with one fixed links is

#### (e) f = 6 (n-2)

(f) f = 6n-m

(g) f =6 (n-1)

(h) None

ANS: (c)

### 13. A mechanism having 6 degrees of freedom has

#### (a) One constraint

(b) Two constraints

(c) Three constraints

(d) None

ANS: (d)

### 14. A mechanism having 6 degrees of freedom has

#### (a) One constraint

(b) Two constraints

(c) Zero constraints

(d) None

ANS: (c)

### 15. A pair having one degree of freedom puts

#### (a) 1 constraint

(b) 3 constraints

(c) 5 constraints

(d) None

ANS: (c)

### 16. A pair having three degrees of freedom puts

#### (a) One constraint

(b) Two constraints

(c) Three constraints

(d) None

ANS: (c)

### 17. A planar mechanism has 3 degrees of freedom. A planar mechanism having (n-1) moveable links has degrees of freedom

#### (a) f = (n-1)

(b) f= 2 (n-1)

(c) f= 3 (n-1)

(d) None

ANS: (c)

### 18. An interconnected set of bodies has

#### (a) 6 degrees of freedom

(b) Unknown number of degree of freedom

(c) 9 degrees of freedom

(d) None

ANS: (b)

### 19. For a planar motion, a single support reduces degrees of freedom by

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 20. For a planar motion, a hinge support reduces degrees of freedom by

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (b)

### 21. For a planar motion, a fixed support reduces degrees of freedom by

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (c)

### 22. For motion in space, a hinge support reduces degrees of freedom by

#### (a) 1

(b) 3

(c) 5

(d) None

ANS: (c)

### 23. For motion in space, a sliding connection reduces degrees of freedom by

#### (a) 1

(b) 3

(c) 5

(d) None

ANS: (c)

### 24. Kutzbach empirical formula is to find the degrees of freedom. For a mechanism has

only plane motion with P1 & P2 lower pairs & higher pairs and (N-1) moving links. The number of degrees of freedom is

#### (a) f = 3 (N – 1) – P1 – 2P2

#### (b) f = 3 (N – 1) – 2P1 – P2

#### (c) f = 3 (N – 1) – P1 – P2

#### (d) None

#### ANS: (b)

### 25. A lower reduces the degrees of freedom by

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 26. A higher pair reduces the degrees of freedom by

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (b)

### 27. Different constraints reduce the degrees of freedom by

#### (a) Same number

(b) Different number

(c) Can’t say

(d) None

ANS: (b)

### 28. A revolute joint has how many degrees of freedom

### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 29. A prismatic joint has how many degrees of freedom

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 30. A rolling contact joint has how many degrees of freedom

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 31. A gear joint has how many degrees of freedom

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 32. A revolute joint has how many degrees of freedom

#### (e) 1

(f) 2

(g) 3

(h) None

ANS: (a)

### 33. A system having degrees of freedom f >1 means, the system has degrees of freedom

### (a) 2

(b) 4

(c) f

(d) None

ANS: (c)

### 34. A system having zero degrees of freedom means, the system is a

#### (a) Sling motion

(b) Rotary motion

(c) Static

(d) None

ANS: (c0

### 35. A system having degrees of freedom f <1 means, the system is

#### (a) Statically determinate

(b) Statically indeterminate

(c) Can’t say

(d) None

ANS: (b)

### 36. The degrees of freedom of a single spring mass system is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 37. The degrees of freedom of a single disc shaft system is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 38. The degrees of freedom of a simple pendulum system is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 39. The degrees of freedom of a four bar linkage is

#### (a) 1

(b) 2

(c) 3

(d) None

(e) ANS: (a)

### 40. The degrees of freedom of a single crank is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (a)

### 41. The degrees of freedom of two spring mass system is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (b)

### 42. The degrees of freedom of a two rotor system is

#### (a) 1

(b) 2

(c) 3

(d) None

#### ANS: (b)

### 43. The degrees of freedom of a single mass connected to two springs in perpendicular directions is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (b)

### 44. The degrees of freedom during skidding of a vehicle is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (c)

45. The degrees of freedom are found in

#### (a) Robotics

(b) Kinematics

(c) Both (a) & (b)

(d) None

ANS: (c)

### 46. Degrees of freedom added by adding a link to a mechanism is

#### (a) 1

(b) 2

(c) 3

(d) None

ANS: (c)

### 47. Number of degrees of freedom for a general kinematic chain with’ n’ links &’ j ‘ joints is

#### (a) n—3j-3

(b) 2n—3j-3

(c) 3n –3j-3

(d) None

ANS: (c)

### 48. Do number of degrees of freedom considers link dimensions

#### (a) Yes

(b) No

(c) Both (a) & (b)

(d) None

ANS: (b)

### 49. Moving backward in a translation motion is

#### (a) Surging

(b) Heaving

(c) Swaying

(d) None

ANS: (a)

### 50. Moving forward in a translation motion is

#### (a) Surging

(b) Heaving

(c) Walking

(d) None

ANS: (c)

### 51. Moving right in a translation motion is

#### (a) Surging

(b) Heaving

(c) Swaying

(d) None

ANS: (c)

### 52. Moving left in a translation motion is

#### (e) Surging

(f) Heaving

(g) Stratifying

(h) None

ANS: (c)

### 53. Moving down in a translation motion is

#### (a) Elevating

(b) Heaving

(c) Swaying

(d) None

ANS: (b)

### 54. Moving up in a translation motion is

#### (i) Elevating

(j) Heaving

(k) Swaying

(l) None

ANS: (a)

### 55. Rotating about normal axis in rotational degrees of freedom is

#### (a) Roll

(b) Pitch

(c) Yaw

(d) None

ANS: (c)

### 56. Rotating about lateral axis in rotational degrees of freedom is

#### (a) Roll

(b) Pitch

(c) Yaw

(d) None

ANS: (b)

### 57. Rotating about longitudinal axis in rotational degrees of freedom is

#### (a) Roll

(b) Pitch

(c) Yaw

(d) None

ANS: (a)

### 58. A constrained body vs unconstrained body has

#### (a) More degrees of freedom

(b) Less degrees of freedom

(c) Equal degrees of freedom

(d) None

ANS: (b)

### 59. The basic concept of degree of freedom was recognized by

#### (a) Carl Friedrich Gauss

(b) William Sealy Gosset

(c) Ronald Fisher

(d) None

ANS: (a)

### 60. The concept in detail of degree of freedom was developed by

#### (a) Carl Friedrich Gauss

(b) William Sealy Gosset

(c) Ronald Fisher

(d) None

ANS: (b)

### 61. The use of degree of freedom was popularized by

#### (a) Carl Friedrich Gauss

(b) William Sealy Gosset

(c) Ronald Fisher

(d) None

ANS: (a)

**62. The formula for degrees of freedom for single variable samples is**

**(a) N-1**

**(b) N-2**

**(c) N-3**

**(d) None**

**ANS: (a)**

**64. The formula for degrees of freedom for two variables samples in term of Chi-squares is**

**(a) (R-1)x (C-1)**

**(b) (R-2) x (C-2)**

**(c) (R-3) x (C-3)**

**(d) None**

**ANS: (a)**

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