1
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
Four particles A, B, C and D with masses mA = m, mB = 2m, mC = 3m and mD = 4m are at the corners of a square. They have accelerations of equal magnitude with directions as shown. The acceleration of the centre of mass of the particles is :
A
$${a \over 5}\left( {\mathop i\limits^ \wedge + \mathop j\limits^ \wedge } \right)$$
B
$${a \over 5}\left( {\mathop i\limits^ \wedge - \mathop j\limits^ \wedge } \right)$$
C
$${a }\left( {\mathop i\limits^ \wedge + \mathop j\limits^ \wedge } \right)$$
D
Zero
2
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
A thin circular plate of mass M and radius R has its density varying as $$\rho$$(r) = $$\rho$$0r with $$\rho$$0 as constant and r is the distance from its centre. The moment of Inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is I = aMR2. The value of the coefficient a is :
A
$${1 \over 2}$$
B
$${3 \over 2}$$
C
$${8 \over 5}$$
D
$${3 \over 5}$$
3
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly ?
A
B
C
D
4
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
Two particles A, B are moving on two concentric circles of radii R1 and R2 with equal angular speed $$\omega$$. At t = 0, their positions and direction of motion are shown in the figure. :

The relative velocity $${\overrightarrow V _A} - {\overrightarrow V _B}$$ at t = $${\pi \over {2\omega }}$$ is given by :
A
$$- \omega \left( {{R_1} + {R_2}} \right)\,\widehat i$$
B
$$\omega \left( {{R_2} - {R_1}} \right)\,\widehat i$$
C
$$\omega \left( {{R_1} + {R_2}} \right)\,\widehat i$$
D
$$\omega \left( {{R_1} - {R_1}} \right)\,\widehat i$$
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