1
JEE Main 2021 (Online) 25th February Morning Shift
Numerical
+4
-1
A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 : 1. The velocity of the bob at the highest position is ________ m/s. (Take g = 10 m/s2)
2
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is _______ $$\times$$ 10$$-$$1 kg m2.
3
JEE Main 2020 (Online) 6th September Evening Slot
Numerical
+4
-0
The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat surface. Then value of x is __________.
4
JEE Main 2020 (Online) 5th September Morning Slot
Numerical
+4
-0
A force $$\overrightarrow F = \left( {\widehat i + 2\widehat j + 3\widehat k} \right)$$ N acts at a point
$$\left( {4\widehat i + 3\widehat j - \widehat k} \right)$$ m. Then the magnitude of torque
about the point $$\left( {\widehat i + 2\widehat j + \widehat k} \right)$$ m will be $$\sqrt x$$ N m.
The value of x is _______.
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