Stress and Strain
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369938 A steel wire having a radius of \(3\;\,cm\), carrying a load of \(9\;\,kg\), is hanging from a ceiling. Given that \(g = 5.1\pi \,m{s^{ - 2}}\), what wil be the tensile stress that would be developed in the wire?

1 \(6.2 \times {10^4}\,N{m^{ - 2}}\)
2 \(3.2 \times {10^4}N{m^{ - 2}}\)
3 \(5.1 \times {10^4}\,N{m^{ - 2}}\)
4 \(4.8 \times {10^4}\,N{m^{ - 2}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369939 One end of a uniform wire of length \(L\) and of weight \(w\) is attached rigidly to a point in the roof and a weight \(w_{l}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height \(L / 4\) from its lower end is

1 \(\dfrac{w_{1}}{S}\)
2 \(\dfrac{w_{1}+(3 w / 4)}{S}\)
3 \(\dfrac{w_{1}+(w / 4)}{S}\)
4 \(\dfrac{w_{1}+w}{S}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369940 A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied so that their combined length stretched by \(1{\mkern 1mu} \;cm\). The two wires have

1 Same stress, same strain
2 Same stress, different strains
3 Same strain different stress
4 Different stress, different strains
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369941 A spring is stretched by applying a load to its free end. The strain produced in the spring is

1 Volumetric
2 Shear
3 Longitudinal and Shear
4 Longitudinal
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369942 One end of a uniform wire of length \(L\) and weight \(w\) is attached rigidly to a point in roof and a weight \({w_1}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height of \(\frac{{3\;L}}{4}\) from its lower end is

1 \(\frac{{{w_1}}}{{\;S}}\)
2 \(\frac{{{w_1} + \frac{W}{4}}}{S}\)
3 \(\left( {\frac{{{w_1} + \frac{{3w}}{4}}}{{\;S}}} \right)\)
4 \(\frac{{{w_1} + w}}{S}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369938 A steel wire having a radius of \(3\;\,cm\), carrying a load of \(9\;\,kg\), is hanging from a ceiling. Given that \(g = 5.1\pi \,m{s^{ - 2}}\), what wil be the tensile stress that would be developed in the wire?

1 \(6.2 \times {10^4}\,N{m^{ - 2}}\)
2 \(3.2 \times {10^4}N{m^{ - 2}}\)
3 \(5.1 \times {10^4}\,N{m^{ - 2}}\)
4 \(4.8 \times {10^4}\,N{m^{ - 2}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369939 One end of a uniform wire of length \(L\) and of weight \(w\) is attached rigidly to a point in the roof and a weight \(w_{l}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height \(L / 4\) from its lower end is

1 \(\dfrac{w_{1}}{S}\)
2 \(\dfrac{w_{1}+(3 w / 4)}{S}\)
3 \(\dfrac{w_{1}+(w / 4)}{S}\)
4 \(\dfrac{w_{1}+w}{S}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369940 A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied so that their combined length stretched by \(1{\mkern 1mu} \;cm\). The two wires have

1 Same stress, same strain
2 Same stress, different strains
3 Same strain different stress
4 Different stress, different strains
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369941 A spring is stretched by applying a load to its free end. The strain produced in the spring is

1 Volumetric
2 Shear
3 Longitudinal and Shear
4 Longitudinal
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369942 One end of a uniform wire of length \(L\) and weight \(w\) is attached rigidly to a point in roof and a weight \({w_1}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height of \(\frac{{3\;L}}{4}\) from its lower end is

1 \(\frac{{{w_1}}}{{\;S}}\)
2 \(\frac{{{w_1} + \frac{W}{4}}}{S}\)
3 \(\left( {\frac{{{w_1} + \frac{{3w}}{4}}}{{\;S}}} \right)\)
4 \(\frac{{{w_1} + w}}{S}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369938 A steel wire having a radius of \(3\;\,cm\), carrying a load of \(9\;\,kg\), is hanging from a ceiling. Given that \(g = 5.1\pi \,m{s^{ - 2}}\), what wil be the tensile stress that would be developed in the wire?

1 \(6.2 \times {10^4}\,N{m^{ - 2}}\)
2 \(3.2 \times {10^4}N{m^{ - 2}}\)
3 \(5.1 \times {10^4}\,N{m^{ - 2}}\)
4 \(4.8 \times {10^4}\,N{m^{ - 2}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369939 One end of a uniform wire of length \(L\) and of weight \(w\) is attached rigidly to a point in the roof and a weight \(w_{l}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height \(L / 4\) from its lower end is

1 \(\dfrac{w_{1}}{S}\)
2 \(\dfrac{w_{1}+(3 w / 4)}{S}\)
3 \(\dfrac{w_{1}+(w / 4)}{S}\)
4 \(\dfrac{w_{1}+w}{S}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369940 A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied so that their combined length stretched by \(1{\mkern 1mu} \;cm\). The two wires have

1 Same stress, same strain
2 Same stress, different strains
3 Same strain different stress
4 Different stress, different strains
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369941 A spring is stretched by applying a load to its free end. The strain produced in the spring is

1 Volumetric
2 Shear
3 Longitudinal and Shear
4 Longitudinal
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369942 One end of a uniform wire of length \(L\) and weight \(w\) is attached rigidly to a point in roof and a weight \({w_1}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height of \(\frac{{3\;L}}{4}\) from its lower end is

1 \(\frac{{{w_1}}}{{\;S}}\)
2 \(\frac{{{w_1} + \frac{W}{4}}}{S}\)
3 \(\left( {\frac{{{w_1} + \frac{{3w}}{4}}}{{\;S}}} \right)\)
4 \(\frac{{{w_1} + w}}{S}\)
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369938 A steel wire having a radius of \(3\;\,cm\), carrying a load of \(9\;\,kg\), is hanging from a ceiling. Given that \(g = 5.1\pi \,m{s^{ - 2}}\), what wil be the tensile stress that would be developed in the wire?

1 \(6.2 \times {10^4}\,N{m^{ - 2}}\)
2 \(3.2 \times {10^4}N{m^{ - 2}}\)
3 \(5.1 \times {10^4}\,N{m^{ - 2}}\)
4 \(4.8 \times {10^4}\,N{m^{ - 2}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369939 One end of a uniform wire of length \(L\) and of weight \(w\) is attached rigidly to a point in the roof and a weight \(w_{l}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height \(L / 4\) from its lower end is

1 \(\dfrac{w_{1}}{S}\)
2 \(\dfrac{w_{1}+(3 w / 4)}{S}\)
3 \(\dfrac{w_{1}+(w / 4)}{S}\)
4 \(\dfrac{w_{1}+w}{S}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369940 A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied so that their combined length stretched by \(1{\mkern 1mu} \;cm\). The two wires have

1 Same stress, same strain
2 Same stress, different strains
3 Same strain different stress
4 Different stress, different strains
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369941 A spring is stretched by applying a load to its free end. The strain produced in the spring is

1 Volumetric
2 Shear
3 Longitudinal and Shear
4 Longitudinal
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369942 One end of a uniform wire of length \(L\) and weight \(w\) is attached rigidly to a point in roof and a weight \({w_1}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height of \(\frac{{3\;L}}{4}\) from its lower end is

1 \(\frac{{{w_1}}}{{\;S}}\)
2 \(\frac{{{w_1} + \frac{W}{4}}}{S}\)
3 \(\left( {\frac{{{w_1} + \frac{{3w}}{4}}}{{\;S}}} \right)\)
4 \(\frac{{{w_1} + w}}{S}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369938 A steel wire having a radius of \(3\;\,cm\), carrying a load of \(9\;\,kg\), is hanging from a ceiling. Given that \(g = 5.1\pi \,m{s^{ - 2}}\), what wil be the tensile stress that would be developed in the wire?

1 \(6.2 \times {10^4}\,N{m^{ - 2}}\)
2 \(3.2 \times {10^4}N{m^{ - 2}}\)
3 \(5.1 \times {10^4}\,N{m^{ - 2}}\)
4 \(4.8 \times {10^4}\,N{m^{ - 2}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369939 One end of a uniform wire of length \(L\) and of weight \(w\) is attached rigidly to a point in the roof and a weight \(w_{l}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height \(L / 4\) from its lower end is

1 \(\dfrac{w_{1}}{S}\)
2 \(\dfrac{w_{1}+(3 w / 4)}{S}\)
3 \(\dfrac{w_{1}+(w / 4)}{S}\)
4 \(\dfrac{w_{1}+w}{S}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369940 A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied so that their combined length stretched by \(1{\mkern 1mu} \;cm\). The two wires have

1 Same stress, same strain
2 Same stress, different strains
3 Same strain different stress
4 Different stress, different strains
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369941 A spring is stretched by applying a load to its free end. The strain produced in the spring is

1 Volumetric
2 Shear
3 Longitudinal and Shear
4 Longitudinal
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369942 One end of a uniform wire of length \(L\) and weight \(w\) is attached rigidly to a point in roof and a weight \({w_1}\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height of \(\frac{{3\;L}}{4}\) from its lower end is

1 \(\frac{{{w_1}}}{{\;S}}\)
2 \(\frac{{{w_1} + \frac{W}{4}}}{S}\)
3 \(\left( {\frac{{{w_1} + \frac{{3w}}{4}}}{{\;S}}} \right)\)
4 \(\frac{{{w_1} + w}}{S}\)