1
GATE ME 2017 Set 2
Numerical
+2
-0
A gear train shown in the figure consists of gears P, Q, R and S. Gear Q and gear R are mounted on the same shaft. All the gears are mounted on parallel shafts and the number of teeth of P, Q, R and S are 24, 45, 30 and 80, respectively. Gear P is rotating at 400 rpm. The speed (in rpm) of the gear S is _________ .
2
GATE ME 2017 Set 2
+1
-0.3
A mass $$m$$ is attached to two identical springs having spring constant $$k$$ as shown in the figure. The natural frequency of this single degree of freedom system is
A
$$\sqrt {{{2k} \over m}}$$
B
$$\sqrt {{{k} \over m}}$$
C
$$\sqrt {{{k} \over 2m}}$$
D
$$\sqrt {{{4k} \over m}}$$
3
GATE ME 2017 Set 2
Numerical
+2
-0
The radius of gyration of a compound pendulum about the point of suspension is $$100$$ mm. The distance between the point of suspension and the centre of mass is $$250$$ mm. Considering the acceleration due to gravity as $$9.81$$ m/s2, the natural frequency (in radian/s) of the compound pendulum is _________.
4
GATE ME 2017 Set 2
+2
-0.6
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is $$2.87{m^3}$$ and $$300$$ $$K,$$ respectively. The gauge pressure indicated by a manometer fitted to the wall of the vessel is $$0.5$$ bar. If the gas constant of air is
$$R =287J/kgK$$ and the atmospheric pressure is $$1$$ bar, the mass of air (in $$kg$$) in the vessel is
A
$$1.67$$
B
$$3.33$$
C
$$5.00$$
D
$$6.66$$
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