Determination of modulus of rigidity of a wire by statically method using horizontal pattern of apparatus

Objective:

To determination of modulus of rigidity of a wire by statically method using horizontal pattern of apparatus

Theory:

The Modulus of Rigidity

 

where,

M= load suspended.

D= Diameter of the pulley.

R = Radius of the experimental rod.

G =Acceleration due to gravity.

L1 – L2 = distance between two pointers.

θ1– θ2 = Difference of the angular twist produced in the rod.

Apparatus used:

  • Horizontal pattern of apparatus.
  • Set of ½ kg weights.
  • Screw gauge. 

Experimental Results:

Table for least count of the screw gauge:

Zero error of the screw gauge = …………. c.m.

Table for determination of the radius (r) of the rod:

Table for the Determination of the diameter (D) of the pully:

Difference in the length between the two pointers (L1 – L2)= ……… cm

Table for the determination of the Twist:

Calculation:

Percentage Error:

Result:

The modulus of rigidity ( η) of the rod is ….. dyne/cm2

Graph:

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