EXPERIMENT NO. 3


                                                EXPERIMENT NO. 3
9.0 Questions for confirmation of learning:      
1. Rate of change of angular displacement with respect to time( ω )
2. Rate of change of angular velocity with respect to time (α )
3. linear ----linear
4. radial ----tangential
5. ωPB = VPB / PB
6. Klein’s construction, Analytical method.
11.0 . Conclusion:
1.perpendicular,     2.parallel         3.fixed points.
            The difference between the motion of two points is termed as relative motion. Line diagram represents the given mechanism where its links are shown by straight lines that is configuration or space diagram. The acceleration analysis is useful in the development of machines and mechanisms. Here the total acceleration of a particle whose velocity changes both in magnitude and direction at any instant is calculated by drawing two components, centripetal or radial component and tangential component.
12.0 Questions:
1.  Linear velocity is the rate of change of linear displacement of body w.r.t. time. It is a vector quantity. Mathematically, linear velocity v = ds/dt. We measure distance of a point from a fixed  point to find velocity of a particular point on a link. If there are two points, then distances of those points from a fixed point will be different  So when we measure vector length that will be different for different points.
2.  Relative velocity is the velocity of a point on a link with respect to some other  point on the same link. It is the velocity compared with some other point, which differ either in magnitude or  direction.
3.  Velocity of a particle or point relative to affixed point is an absolute velocity.
4.  Rate of change of linear displacement of a body w.r.t. time is linear velocity. Since velocity is always expressed in a particular direction, therefore it is vector quantity.
5.    Angular velocity is rate of change of angular displacement w.r.t. time. Angular velocity of a link (say PB) may be determined as 
 ωPB = VPB / PB
6.  The links in a mechanism are mostly connected by means of pin joints.The rubbing velocity is  defined as the algebric sum between the angular velocities of the two links which are connected by pin joints, multiplied by radius of pin.
7.  At pin joints when a) two links move in same direction,
      rubbing velocity = (ω1 -  ω2). r
b) when two links move in opposite direction, rubbing velocity =  (ω1 +  ω2).r                                        
               where ω = Angular velocity of turning member,   r = Radius of pin.
        8. The component which is parallel to the velocity of the particle at the given instant  
          is called tangential component of acceleration. When crank rotates with constant  
          speed, or when angular   acceleration is not given then there will be no tangential  
         component of acceleration.
 9. The component which is perpendicular to the velocity of a particle at the given instant is called  centripetal or radial component of acceleration
10.The acceleration of a particle moving along a circular path  a) Radial component of acceleration, b) Tangential component of acceleration.

11. The angular acceleration of a link (say AB) may be obtained by dividing the tangential  component of acceleration of B w.r.t. A  to the length of link M 

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