A candilever of rectangular cross section has a length of 50 cm. It's breadth is 3 cm and thickness 0.6 cm. A weight of 1kg is attached at the free end. the depression produced is 4.2 cm. Calculate young's modulus of the material of the bar, given g =9.8m/sec^2.
Answers
Answer:
Explanation:
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The Young's modulus of the material of the bar is 4573.33
The length of the candilever is (L) = 50 cm
= 0.5 m
The breadth of the rectangular cross section candilever is = 3 cm
= 0.03 m
The thickness is = 0.06 cm
= 0.0006 m
So, the area of cross section (A) is = 0.03 × 0.0006 m²
The mass of the weight is = 1 kg
So, the weight is = the force (F) = 1 × 9.8 N
= 9.8 N
The depression produced is (l) = 4.2 cm
= 0.042 m
We know, the Young's modulus (Y) = Stress/ Strain
Y = Fl/AL
or, Y = (9.8 × 0.042)/ (0.03 × 0.0006 × 0.5)
or, Y = 0.4116/0.000009
or, Y = 4573.33
The Young's modulus of the material of the bar is 4573.33