Recent questions tagged gatexe-2023

Q. 72 A rod is subjected to three forces as shown in the figure on the left. An equivalentforce system with forces $F_{1}, F_{2}$ and moment $M$ is shown in the figure on...

\[\text { Q. } 74\]For a plane stress problem, the principal stresses are $100 \mathrm{MPa}$ and $50 \mathrm{MPa}$. The magnitude of maximum shear stress (in $\mathrm{MPa...

\begin{tabular}{|c|c|}\hline Q. 75 & \begin{tabular}{l}A solid uniform rigid disk of mass $m$ and radius $R$ rolls without slipping along a \\horizontal surface $\mathrm{...

\begin{tabular}{|l|l|}\hline Q.76 & A cylinder made of rubber (length $=L$ and diameter $=d)$ is inserted in a rigid \\container as shown in the figure. The rubber cylind...

\begin{tabular}{|c|}\hline \begin{tabular}{l}The state of stress at the critical location in a structure is $\sigma_{x x}=420 \mathrm{MPa}$, \\$\sigma_{y y}=100 \mathrm{M...

Q. 78The figure shows a column of rectangular cross section $100 \mathrm{~mm} \times 80 \mathrm{~mm}$. Itcarries a load of $60 \mathrm{kN}$ at a point $30 \mathrm{~mm}$ f...

\begin{tabular}{|l|l}Q.79 & Consider an electric pole with dimensions as shown in the figure. Let the end $R$ be \\subjected to a vertical force $F$. The flexural rigidit...

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...

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...

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...

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...

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$\...

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 ...

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...

\begin{tabular}{|l|ll}Q.88 & $\mathbf{A}$ & \begin{tabular}{c}The number of properties required to fix the state of a system is given by \\'state postulate'. \\$\mathbf{R...

\begin{tabular}{|l|l|}\hline Q.89 & Which of the following is an extensive property of a system? \\\hline& Density \\\hline& Pressure \\\hline& Temperature \\\hline& Tota...

\begin{tabular}{|c|c|}\hline Q. 90 & \begin{tabular}{l}A tank of volume $V$ contains homogeneous mixture of two ideal gases, A and B at \\a temperature $T$ and a pressure...