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EDUCATIONAL STUFFS

An Ocean of Information

March 2, 2021April 21, 2023

APPLIED MECHANICS- Verification of the parallelogram law of forces

EXPERIMENT

 

OBJECTIVE:

To verify the parallelogram law of forces with the help of Gravesand’s apparatus.

 

APPARATUS REQUIRED:

Gravesand’s apparatus, paper sheet, slotted weight, thread, pans, set square, pencil,  mirror strips, cello tape, geometrical box etc.

 

THEORY:

Parallelogram law of forces states that if two concurrent forces acting on a particle be represented in magnitude and direction by the two sides of a parallelogram, then their resultant may be represented in magnitude and direction by the diagonal of the parallelogram drawn from the same point.

 

 

 

PROCEDURE:

  • Fix the paper sheet with cello tape on the board set in a vertical plane such that it should be parallel to the edge of board.
  • Then take a thread and pass it over two pulleys. The end of the threads are to be attached to the slotted weight.
  • Now take another thread and tie it to the middle of the thread and attach other end to the  slotted weight.
  • Place slotted weight in the three hooks in such a manner that the knots comes in the centre of the paper.
  • Displace them from the position and note if they come to the original position to ensure that the pulley have minimum friction.
  • To mark the line of action of these forces place plain mirror below each thread coinciding with image of the thread in the mirror.
  • Write down the magnitude of the force along the line to meet at a point O.
  • Choose a suitable scale for weight and draw the line OB, OA and OC proportional to the scale.
  • Complete the parallelogram drawing BC parallel to OA and AC parallel to OB meeting at point C. Now OC is the diagonal of the parallelogram.
  • Convert the length into force (R) and check whether it is equal to P1 or not.
  • If R is not equal to P1 then calculate the error.
  • Repeat the experiment at least two times.

 

OBSERVATION TABLE:

S. No.

 

Force along OA
(in grams)
 
Force along OB
(in grams)
 
Force along OD
(in grams)
 
Observed value of resultant OC
(in grams) (graphically)
 
Percentage error between OC and OD
= (OC – OD)/ OC x 100
 

 

 

PRECAUTIONS:

  • Positions of points should be marked very carefully with pointed pencil with the help of the plane mirror.
  • There should not be any knot on the thread expect the centre knot which should be small and fine.
  • The Weights should be attached at the ends of the threads.
  • Pulleys should be lubricated properly to minimize friction.
  • Weights or pans should not touch the wooden board.

 

 

RELATED VIDEOS FOR PARALLELOGRAM LAW OF FORCES:

 

 

 

 

 

 

 

 

 

 

For More Information- CLICK HERE

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Comments (3)

  1. Sherab Rangdel says:
    August 16, 2021 at 10:26 am

    What is the conclusion for the above experiment?

    Reply
    1. AMIT says:
      October 8, 2021 at 9:51 am

      Conclusion of this experiment: We are able to prove the statement of the parallelogram law of forces practically.

      Reply
  2. Owan michael says:
    June 8, 2022 at 1:48 am

    What of the observation

    Reply

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