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JEE Main 2018 (Online) 15th April Morning Slot
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A uniform rod $$AB$$ is suspended from a point $$X,$$ at a variable distance $$x$$ from $$A$$, as shown, To make the rod horizontal, a mass $$m$$ is suspended from its end $$A.$$A$$set of$$(m,x)$$values is recorded. The appropriate variables that give a straight line, when plotted, are : A$$m,x$$B$$m,{1 \over x}$$C$$m,{1 \over {{x^2}}}$$D$$m,{x^2}$$2 JEE Main 2017 (Online) 9th April Morning Slot MCQ (Single Correct Answer) +4 -1 The machine as shown has 2 rods of length1 m connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls along the floor in a slot. As the roller goes back and forth, a 2 kg weight moves up and down. If the roller is moving towards right at a constant speed, the weight moves up with a : A Constant speed B decreasing speed C increasing speed D speed which is$${3 \over 4}$$th of that of the roller when the weight is 0.4 m above the ground 3 JEE Main 2017 (Online) 9th April Morning Slot MCQ (Single Correct Answer) +4 -1 A circular hole of radius$${R \over 4}$$is made in a thin uniform disc having mass M and radius R, as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the point O and perpendicular to the plane of the disc is : A$${{219\,M{R^2}} \over {256}}$$B$${{237\,M{R^2}} \over {512}}$$C$${{19\,M{R^2}} \over {512}}$$D$${{197\,M{R^2}} \over {256}}$$4 JEE Main 2017 (Online) 8th April Morning Slot MCQ (Single Correct Answer) +4 -1 Moment of inertia of an equilateral triangular lamina ABC, about the axis passing through its centre O and perpendicular to its plane is Io as shown in the figure. A cavity DEF is cut out from the lamina, where D, E, F are the mid points of the sides. Moment of inertia of the remaining part of lamina about the same axis is : A$${7 \over 8}$$Io B$${15 \over 16}$$Io C$${{3\,{{\rm I}_o}} \over 4}$$D$${{31\,{{\rm I}_o}} \over 32}
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