# Kinematic Analysis of Mechanisms - Mechanical Engineering (MCQ) questions and answers

1)   (ω cos θ) / n is the formula used to calculate

a. angular velocity of connecting rod
b. velocity of piston
c. angular acceleration of connecting rod
d. All of the above
 Answer  Explanation ANSWER: angular velocity of connecting rod Explanation: No explanation is available for this question!

2)   In a Hooke's joint, maximum velocity ratio between driving and driven shaft is possible if θ is

a. 0
b. π
c. 2 π
d. all of the above
 Answer  Explanation ANSWER: all of the above Explanation: No explanation is available for this question!

3)   According to loop closure equation, in a closed loop mechanism the sum of relative position vectors for the links is

a. less than 1
b. zero
c. greater than 1
d. none of the above
 Answer  Explanation ANSWER: zero Explanation: No explanation is available for this question!

4)   Why is double Hooke's joint used?

a. To obtain uniform velocity ratio
b. To obtain variable velocity ratio
c. Both a. and b.
d. None of the above
 Answer  Explanation ANSWER: To obtain uniform velocity ratio Explanation: No explanation is available for this question!

5)   In IC engine mechanism, which formula is used to calculate acceleration of the piston?

a. ω2 r (cos θ + cos θ / n)
b. ω2 r (cos θ + cos 2θ / n)
c. ω2 r (cos θ - cos θ / n)
d. ω2 r (cos θ - cos 2θ / n)
 Answer  Explanation ANSWER: ω2 r (cos θ + cos 2θ / n) Explanation: No explanation is available for this question!

6)   Match the following Group 1 items with Group 2 items

1. Displacement of piston -------------------------------------- A. - (ω2 /n) sin θ
2. Angular velocity of connecting rod ----------------------- B. [ω r (sin θ + sin 2θ / 2n)]
3. Angular acceleration of connecting rod ------------------ C. r [1 + n – cos θ - √(n2 – sin2 θ)]
4. Velocity of piston --------------------------------------------- D. ω cos θ / √( n2 – sin2 θ)

a. 1 – A, 2 – C, 3 – D, 4 - B
b. 1 – D, 2 – B, 3 – A, 4 - C
c. 1 – C, 2 – D, 3 – A, 4 - B
d. 1 – C, 2 – A, 3 – D, 4 - B
 Answer  Explanation ANSWER: 1 – C, 2 – D, 3 – A, 4 - B Explanation: No explanation is available for this question!

7)   Which relation is used to denote condition for equal speeds, when driving and driven shafts are connected by Hook's joint?

a. tan θ = ± √cos α
b. tan θ = ± √cot α
c. tan θ = ± √sin α
d. cot θ = ± √cos α
 Answer  Explanation ANSWER: tan θ = ± √cos α Explanation: No explanation is available for this question!

8)   Which among the following is the condition for maximum acceleration in Hooke's joint?

a. cos 2 θ ≈ (2 sin2 α / 2 + sin2 α)
b. cos θ ≈ (2 sin2 α / 2 - sin2 α)
c. cos 2 θ ≈ (2 sin2 α / 2 - sin2 α)
d. cos 2 θ ≈ (sin2 α / 2 - sin2 α)
 Answer  Explanation ANSWER: cos 2 θ ≈ (2 sin2 α / 2 - sin2 α) Explanation: No explanation is available for this question!

9)   Calculate the angular speed of driven shaft if the driving shaft has angular speed of 400 rpm. When shaft angle is 20o and angle of rotation is 40o in Hooke's joint.