Physics Mechanical Properties of Solids

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A
alok kumar singh

Contributor-Level 10

a = 3 9 g , For C, 3g – T = 3a = (3) 3 g g

T = 2g = 20 N

σ = Y

σ Y = 2 0 5 * 1 0 8 * 2 * 1 0 1 1

= 2 * 1 0 3  

= 2 0 * 1 0 4 2 0  

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A
alok kumar singh

Contributor-Level 10

Young's modulus is property of material of wire and it is independent of geometrical factors.

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alok kumar singh

Contributor-Level 10

            E =   S t r e s s S t r a i n

As temperature increases, strain increases

Elasticity decreases

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2 weeks ago

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A
alok kumar singh

Contributor-Level 10

Elongation in the wire is given as

? I = F l A Y

T m a x = m v 2 l + m g

T m a x = 3 m g

? l m a x = 3 m g l π r 2 Y

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R
Raj Pandey

Contributor-Level 9

Energy stored in unit volume of wire

 

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alok kumar singh

Contributor-Level 10

Stress = Y * strain

-> T1A=Y*(l1l)l(i)  

  T 2 A = Y * ( l 2 l ) l ( i i )                          

T 1 T 2 = l 1 l l 2 l                      

l = T 1 l 2 T 2 l 2 T 1 T 2 = T 2 l 1 T 1 l 2 T 2 T 1            

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R
Raj Pandey

Contributor-Level 9

              Δ L (change in length) = F l A E = m g l A E  

              Δ l g  

              Δ l 1 g 1 = Δ l 2 g 2 1 0 4 1 0 = 6 * 1 0 5 g 1  

              g 1 = 6 * 1 0 4 1 0 4 = 6 m/sec2

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2 weeks ago

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R
Raj Pandey

Contributor-Level 9

Y = σ = 2 0 1 0 1 0 , Y → young's modules of elasticity.

              Stress ( σ ) at strain ( )  5 * 10-4

              σ = Y  

              = 5 * 1 0 4 * 2 0 * 1 0 1 0  

              = 1 0 2 * 1 0 6  

              = 108

              U d ( E n e r g y d e n s i t y ) = 1 2 σ  

              = 1 2 * 1 0 8 * 5 * 1 0 4  

              = 2 . 5 * 1 0 4 = 2 5 * 1 0 3 = 2 5 k J / m 3  

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Aadit Singh Uppal

Contributor-Level 10

This refers to the highest limit of pressure which the body can tolerate in order to regain its original shape after removing the pressure. If the pressure exceeds the elastic limit, the body will never be able to regain its original shape agian. example: rubber stretching.

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Aadit Singh Uppal

Contributor-Level 10

This is the case of fluids or gases. In such scenarios, the material does not have any limit to its flexibility and can be deformed to any extent. Such materials do not possess any stiffness and cannot regain their original form as they show no resistance towards any kind of pressure.

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