1
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5m, the angle between the force and the position vector is (in radians) :
A
$${\pi \over 8}$$
B
$${\pi \over 6}$$
C
$${\pi \over 4}$$
D
$${\pi \over 3}$$
2
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO' ,passing through the centre of D1 as shown in the figure, will be :

A
3MR2
B
MR2
C
$${2 \over 3}$$ MR2
D
$${4 \over 5}$$ MR2
3
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
A string is wound around a hollow cylinder of mass 5 kg and radius 0.5m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) :

A
B
C
D
4
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
A particle is moving along a circular path with a constant speed of 10 ms–1. What is the magnitude of the change in velocity of the particle, when it moves through an angle of 60o around the centre of the circle?
A
zero
B
10 m/s
C
$$10\sqrt 2 m/s$$
D
$$10\sqrt 3 m/s$$
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