VELOCITY IN MECHANISM

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• Q1: Define Mechanism.
  Ans: A mechanism is a combination of different links connected in such a way that they produce a desired motion when input motion is applied.
• Q2: Define Instantaneous Center.
  Ans: An instantaneous center is a point in a mechanism where two links have zero relative velocity at a particular instant.
• Q3: Write the formula to calculate the Number of Instantaneous Centers.
  Ans: The formula is:
  
  N = n(n - 1) / 2
  
  where:
  N = number of instantaneous centers
  n = number of links
• Q4: State the types of Instantaneous Centers.
  Ans: The types of instantaneous centers are:

  • ➔ Fixed Instantaneous Center
  • ➔ Permanent Instantaneous Center
  • ➔ Neither Fixed nor Permanent (Moving IC)
• Q5: State Kennedy’s Theorem.
  Ans: Kennedy’s Theorem states that three bodies in plane motion have three instantaneous centers which lie on a straight line.
• Q6: State the methods to locate the Instantaneous Center.
  Ans: The methods to locate instantaneous center are:

  • ➔ By inspection method
  • ➔ By relative velocity method
  • ➔ By Kennedy’s theorem
• Q7: Define Centrode.
  Ans: A centrode is the locus of the instantaneous center of a moving body with respect to another body.
• Q8: Define Instantaneous Velocity.
  Ans: Instantaneous velocity is the velocity of a point at a particular instant of time.
• Q9: Define Relative Motion.
  Ans: Relative motion is the motion of one body with respect to another body.
• Q10: State the methods Velocity analysis of a mechanism.
  Ans: The methods of velocity analysis are:

  • ➔ Graphical method
  • ➔ Analytical method
  • ➔ Instantaneous center method
• Q11: Define Absolute Velocity.
  Ans: Absolute velocity is the velocity of a point measured with respect to a fixed reference point or ground.
• Q12: Define Relative Velocity.
  Ans: Relative velocity is the velocity of one body with respect to another moving body.
• Q13: Calculate the number of Instantaneous centers in a mechanism having 4 links.
  Ans: Given:
  n = 4
  
  Formula:
  N = n(n - 1) / 2
  
  Solution:
  N = 4(4 - 1) / 2
  N = 4 × 3 / 2
  N = 12 / 2
  N = 6 instantaneous centers
• Q14: Calculate the number of Instantaneous centers in a mechanism having 6 links.
  Ans: Given:
  n = 6
  
  Formula:
  N = n(n - 1) / 2
  
  Solution:
  N = 6(6 - 1) / 2
  N = 6 × 5 / 2
  N = 30 / 2
  N = 15 instantaneous centers
• Q15: Write the uses of finding the Instantaneous Velocity?
  Ans: The uses of instantaneous velocity are:

  • ➔ To analyze motion of machine parts
  • ➔ To determine velocity in mechanisms
  • ➔ To design mechanical systems
  • ➔ To study dynamic behavior of machines