1
JEE Main 2018 (Online) 15th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
JEE Main 2018 (Online) 15th April Morning Slot Physics - Rotational Motion Question 176 English
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
Change Language
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 :

JEE Main 2017 (Online) 9th April Morning Slot Physics - Rotational Motion Question 169 English
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
Change Language
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 :

JEE Main 2017 (Online) 9th April Morning Slot Physics - Rotational Motion Question 168 English
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
Change Language
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 :

JEE Main 2017 (Online) 8th April Morning Slot Physics - Rotational Motion Question 172 English
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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