Recent questions in Solid Mechanics

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Q.80 A uniform cantilever beam has flexural rigidity $E I$ and length $L$. It is subjected toa concentrated force $F$ and moment $M=2 F L$ at the free end as shown. Thede...
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Q. 81 A steel ball of mass $m=10 \mathrm{~kg}$ is suspended from the ceiling of a moving carriage by two inextensible strings making $60^{\circ}$ with the horizontal as s...
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Q. 82 A block of mass $m=10 \mathrm{~kg}$ is lying on an inclined plane $\mathrm{PQ}$. The mass isrestrained from sliding down the inclined plane by a force $F$. The coef...
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Q. 83A spherical rigid ball of mass $10 \mathrm{~kg}$ is moving with a speed of $2 \mathrm{~m} / \mathrm{s}$ in thedirection shown. The ball collides with a rigid frictio...
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Q. 84A thin steel plate is loaded in the $x$-y plane as shown in the figure. Take thePoisson's ratio of steel to be 0.3 and the modulus of elasticity of steel to be 200$\...
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Q. 86 A slender uniform elastic rod of length $1 \mathrm{~m}$ and of solid circular cross-section of diameter $50 \mathrm{~mm}$ is originally straight. It is then loaded ...
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Q. 87 Consider a solid cylindrical shaft and a hollow cylindrical shaft. Both shafts are axisymmetric and elastic, and have the same cross-sectional area. The hollow shaf...
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\begin{tabular}{|l|l|}Q. 111 & \begin{tabular}{l}A copper wire upon loading instantaneously increases in length to $l$, and then \\continues to elongate gradually. Upon u...
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Q. 170 Two balls each of $5 \mathrm{~cm}$ in diameter are placed $200 \mathrm{~m}$ apart on a horizontal frictionless plane at $45^{\circ} \mathrm{N}$. The balls are impu...
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Vickers microhardness $\text{(HV)}$ of a ductile material $\text{A}$ is higher than another ductile material $\text{B}$. Which of the following is/are true? Young's modul...
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Which one of the following samples of high-purity aluminium (Al) single crystal will plastically yield at the lowest applied load under ambient conditions? Loading axis i...
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Refer to the schematic shown. Two dog-bone samples, labelled 1 and 2 , of a Cualloy are tested under tension at room temperature to points "E" and "P", respectively. Subs...