Aim: To prove the parallelogram law of vector addition

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Physics Lab Report (2)

                                -Sagar Batchu (11A)

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Aim: To prove the parallelogram law of vector addition

Apparatus: A wooden board,2 pulleys, thumbtacks, meter rule, long piece of string, meter rule, white A4 size paper, fourteen 0.1 N weights, and three hooks each with a weight of 0.1 Newton.

Method:

  • We first take the wooden board and place it vertically on a flat surface.
  • We fix two pulleys at the top of the board and then hang the thread around the pulleys.
  • We make two loops on either side of the string to hang the hooks.
  • We make a list of the possible combinations of weights we can add on either side of the string.
  • In the center between the two pulleys we place one hook with 6 weights two make a total of 0.7 N (including the weight of the hook).
  • On either side of the string we hang the two remaining hooks.
  • According to the choices made, weights are hanged on either of the hooks.
  • After the weights come to rest a white sheet of paper is secured into place on the wooden block with the help of a tack.
  • The block is kept in the light and markings are made where the shadow of the string falls and the position of the center hook.
  • After this is done 5 times and readings are taken the parallelograms are completed and diagonals are drawn and measured. A suitable scale has to be taken. All these lengths are recorded.
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Scale: 0.1 N → 1 cm

Raw data collected :

Diagram :

Calculation of average of resultant forces:

Favg = (F1 + F2 + F3 + F4 + F5)/5

= (0.69 + 0.69 + 0.70 + 0.72 + 0.72)/5

= 0.70 N

  • From the above calculation we can see that the average comes exactly to 0.70 N the weight of the center block.
  • The resultant force can also be verified with the help of the trigonometric formulae:

A2 = B2 + C2 (2 ×A×B ×cosθ)

Conclusion:  The final result for the weight ...

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