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A steel rod of cross-sectional area Im^(...

A steel rod of cross-sectional area `Im^(2)` is acted upon by forces as shown in the Fig. Determine the total elongation of the bar. Take `Y = 2.0xx10^(11) N//m^(2)`

A

`13xx10^(-7)m`

B

`4.5xx10^(-7)m`

C

`5xx10^(-7)m`

D

`3.5xx10^(-7)m`

Text Solution

Verified by Experts

The correct Answer is:
D
The bar is at equilibrium. The net force form right or left of a section of `BC` is `70KN`. We know that the extension due to external forces `F` is given
`Delta l = (Fl)/(Ay), Delta_(BC) = ((70xx10^(3))xx1)/(1xx2xx10^(11)) = 3.5xx10^(-7)m`
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Knowledge Check

  • A uniform cylindrical rod of length L and cross-sectional area by forces as shown in figure. The elongation produced in the rod is

    A
    `(3F L)/(8 AY)`
    B
    `(3FL)/(5AY)`
    C
    `(8FL)/(3AY)`
    D
    `(5FL)/(3AY)`

  • A uniform cylindrical rod of length L, cross-section area A and Young's modulus Y is acted upon by the force as shown in Fig. 7(CF).3. The elongation of the rod is

    A
    `(2FL)/(5AY)`
    B
    `(3FL)/(5AY)`
    C
    `(3FL)/(8AY)`
    D
    `(8FL)/(3AY)`

  • What force should be applied to the ends of steel rod of cross sectional area 10 cm^(2) to prevent it form elongation when heated form 273 K to 303 k ? (alpha " of steel" 10^(-5).^(@)C ^(-1),Y=2xx 10^(11) NH^(-2))

    A
    `2 xx 10^(4)N`
    B
    `3 xx 10^(4)N`
    C
    `6 xx 10^(4)N`
    D
    `12 xx 10^(4)N`