Recent questions tagged gatexe-2024

An ice-skater starts spinning during her performance. As she retracts her arms and legs closer to her body, her angular velocity __________.increasesdecreasesremains the ...

A spring is connected to an elastic bar as shown in the figure. The spring has a stiffness constant of $10^{7} \mathrm{~N} / \mathrm{m}$. The bar is 70 mm long, and has a...

A solid circular shaft of diameter $100$ mm is subjected to a torque $3 \pi \mathrm{kNm}$. Which of the following statements about the state of stress in the shaft is/are...

A particle of mass $1$ kg is attached to one end of a spring having stiffness of $125$ $\mathrm{N} / \mathrm{m}$. The free length of the spring is $100$ mm . The system i...

A $0-45-90$ strain gauge rosette is mounted on an aircraft wing. The co-ordinate system is placed such that the strain gauges $\mathrm{p}, \mathrm{q}$ and r are oriented ...

A rigid bar PQR is hinged at its end P . As shown in the figure, the bar is pinconnected through two identical links QS and RT at points Q and R , respectively. The other...

A pin-jointed truss has a pin support at the point E and a roller support at the point F. A horizontal force P is applied at pin H as shown in the figure. Which one of th...

Two identical rigid slender bars of length $2$ L and mass $m$ are acted upon by a transverse force F at one of the ends as shown in the figure. In the first case, the bar...

A plane passing through a point $\text{Q}$ inside a body is shown. The unit normal of the plane is $\hat{n}=0.6 \hat{\imath}+0.8 \hat{\jmath}$, as shown in the figure. Th...

A critical point on a component is subjected to the state of stress $[\sigma]$ as given in the following. The yield strength of the material is $400$ MPa . By considering...

A rigid massless bar $\text{PQR}$ is hinged at its end $\text{P}$ and supported through a spring of stiffness $k$ at point $\text{Q}$. A vertically downward force $W=560 ...

A beam of rectangular cross-section, as shown in the figure, is made of two perfectly bonded layers of different materials and equal thickness. The Young's moduli of the ...

A stepped beam is made of a material whose Young's modulus is $E$. The dimensions of the two stepped sections are such that the sectional moments of inertia, $I_{1}$ and ...

A turn-table is rotating about its center with an angular velocity of $2 \mathrm{rad} / \mathrm{s}$ in the counter-clockwise direction. There is a groove in the turn-tabl...

A cylindrical pressure vessel is constructed by bolting two symmetric halves of flanged semi-cylindrical shells. A cross-sectional view of the vessel is shown in the figu...

The system shown in the figure is in static equilibrium. The spring is massless and has a spring constant of $\mathrm{K}=1 \mathrm{kN} / \mathrm{m}$. The free length of t...

A square block of side $1$ m and mass $10$ kg is resting on a horizontal surface. The coefficient of static friction between the block and the surface is $0.75$. A horizo...

A heat source at temperature $T_{H}$ transfers the same amount of heat to a sink under the following situations:Case A: Sink is at temperature $T_{L, 1}$Case B: Sink is a...

Given $v$ is the molar specific volume, $P$ is the pressure, $T$ is the temperature, $R$ is the Universal gas constant, and $a, b$ are van der Waal's constants.The van de...

The figure shows four different processes labeled $1,2,3$, and $4$ for the same closed system containing an ideal gas. The curves labeled $T_{1}, T_{2}$, and $T_{3}$ are ...