# GATE2015-3-49

A shaft of length $90 \: mm$ has a tapered portion of length $55 \: mm$. The diameter of the taper is $80 \: mm$ at one end and $65 \: mm$ at the other. If the taper is made by tailstock set over method, the taper angle and the set over respectively are

1. $15^\circ 32′$ and $12.16 \: mm$
2. $18^\circ 32′$ and $15.66 \: mm$
3. $11^\circ 22′$ and $10.26 \: mm$
4. $10^\circ 32′$ and $14.46 \: mm$

recategorized

## Related questions

An annular disc has a mass $m$, inner radius $R$ and outer radius $2R$. The disc rolls on a flat surface without slipping. If the velocity of the center of mass is $v$, the kinetic energy of the disc is $\dfrac{9}{16}mv^2 \\$ $\dfrac{11}{16}mv^2 \\$ $\dfrac{13}{16}mv^2 \\$ $\dfrac{15}{16}mv^2$
A rotating steel shaft is supported at the ends. It is subjected to a point load at the center. The maximum bending stress developed is $100$ $MPa$. If the yield, ultimate and corrected endurance strength of the shaft material are $300$ $MPa$, $500$ $MPa$ and $200$ $MPa$, respectively, then the factor of safety for the shaft is _______
A cantilever bracket is bolted to a column using three M$12×1.75$ bolts P, Q and R. The value of maximum shear stress developed in the bolt P (in $MPa$) is ________
For the overhanging beam shown in figure, the magnitude of maximum bending moment (in $kN$-$m$) is ________
A weight of $500$ $N$ is supported by two metallic ropes as shown in the figure. The values of tensions $T_1$ and $T_2$ are respectively $433$ $N$ and $250$ $N$ $250$ $N$ and $433$ $N$ $353.5$ $N$ and $250$ $N$ $250$ $N$ and $353.5$ $N$