1
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
Two coaxial discs, having moments of inertia I1 and I1/2, are rotating with respective angular velocities $$\omega$$1 and $$\omega$$1/2 , about their common axis. They are brought in contact with each other and thereafter they rotate with a common angular velocity. If Ef and Ei are the final and initial total energies, then (Ef - Ei) is:
A
$${{{I_1}\omega _1^2} \over {24}}$$
B
$${{{I_1}\omega _1^2} \over {12}}$$
C
$${3 \over 8}{I_1}\omega _1^2$$
D
$${{{I_1}\omega _1^2} \over {6}}$$
2
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
A particle of mass m is moving along a trajectory given by
x = x0 + a cos$$\omega$$1t
y = y0 + b sin$$\omega$$2t
The torque, acting on the particle about the origin, at t = 0 is :
A
Zero
B
+my0a $$\omega _1^2$$$$\widehat k$$
C
$$- m\left( {{x_0}b\omega _2^2 - {y_0}a\omega _1^2} \right)\widehat k$$
D
m (–x0b + y0a) $$\omega _1^2$$$$\widehat k$$
3
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
Moment of inertia of a body about a given axis is 1.5 kg m2. Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J, the angular accleration of 20 rad/s2 must be applied about the axis for a duration of :-
A
2.5 s
B
3 s
C
5s
D
2 s
4
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
A thin smooth rod of length L and mass M is rotating freely with angular speed $$\omega$$0 about an axis perpendicular to the rod and passing through its center. Two beads of mass m and negligible size are at the center of the rod initially. The beads are free to slide along the rod. The angular speed of the system , when the beads reach the opposite ends of the rod, will be :-
A
$${{M{\omega _0}} \over {M + 3m}}$$
B
$${{M{\omega _0}} \over {M + m}}$$
C
$${{M{\omega _0}} \over {M + 6m}}$$
D
$${{M{\omega _0}} \over {M + 2m}}$$
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