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Mechanical Prop...

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  • Question 1
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    The length of a rubber cord is $$l_1$$ metres when the tension in it is $$4N$$ and $$l_2$$ metres when the tension is $$5N$$. then the length in meters when the tension is $$9N$$ is

  • Question 2
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    A sphere contracts in volume by 0.01% when taken to the bottom of sea 1 km deep. Find bulk modulus of the material of sphere

  • Question 3
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    The extension of wire by application of load is $$0.3cm$$  The extension in a w wire of same material but of double the length and half the radius of cross section by the same load will be in (cm) 

  • Question 4
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    An aluminium rod has a breaking strain $$0.2\%$$. The minimum cross-sectional area of the rod in $$m^{2}$$ in order to support a load of $$10^{4}N$$ is if (Young's modulus is $$7\times 10^{9}Nm^{-2}$$)

  • Question 5
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    Two wires A and B have young's modulii in the ratio $$1:2$$ and ratio of the lengths is $$1:1$$. under the application of same stress the ratio of elongation is

  • Question 6
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    A steel ring of radius $$r$$ and cross sectional area $$A$$ is fitted on to a wooden disc of radius $$R(R> r)$$. If Young;s modulus be $$Y$$, then the force with which the steel ring is expanded, is

  • Question 7
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    Volume of a liquid when compressed by additional pressure of $$10^5 N/m^2$$ is $$196$$cc and when compressed by a pressure of $$1.5 \times 10 ^5 N/m^2$$, the volume is $$194cc$$. The bulk modulus of the liquid is:

  • Question 8
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    Consider the bar in Fig. Cross-sectional area $$A_{e} = 1.2 in.^{2}$$, and Young's modulus $$E = 30\times 10^{6} psi$$. If $$q_{1} = 0.02\ in.$$ and $$q_{2} = 0.025\ in.$$, determine the following (by hand calculation).

  • Question 9
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    A uniform rod of length $$L$$ has a mass per unit length $$\lambda$$ and area of cross section $$A$$. If the Young's modulus of the rod is $$Y$$. The elongation in the rod due to its own weight is

  • Question 10
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    A uniform cubical block is subjected to volumetric compression, which decreases its each side of $$2$$%. The Bulk strain produced in it is:

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