2018 · Paper 2

Complete GATE ME 2018 Paper 2 overview, original pages and practice · Timed previous-paper practice

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Question 39

Open question

MENAT2 marksNeeds review

A force of 100 N is applied to the centre of a circular disc, of mass 10 kg and radius 1 m, resting on a floor as shown in the figure.



If the disc rolls without slipping on the floor, the linear acceleration (in m/s



) of the centre of the disc is ________ (correct to two decimal places).

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Question 40

Open question

MENAT2 marksNeeds review

A frictionless circular piston of area



m



and mass 100 kg sinks into a cylindrical container of the same area filled with water of density 1000 kg/m



as shown in the figure.



The container has a hole of area



m



at the bottom that is open to the atmosphere. Assuming there is no leakage from the edges of the piston and considering water to be incompressible, the magnitude of the piston velocity (in m/s) at the instant shown is ______ (correct to three decimal places).

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Question 41

Open question

MENAT2 marksNeeds review

A 0.2 m thick infinite black plate having a thermal conductivity of 3.96 W/m-K is exposed to infinite black surfaces at 300 K and 400 K as shown in the figure. At steady state, the surface temperature of the plate facing the cold side is 350 K. The value of Stefan-Boltzmann constant,



, is



W/m



K



. Assuming 1-D heat conduction, the magnitude of heat flux through the plate (in W/m



) is ________ (correct to two decimal places).



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