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Accelerate JEE 2020: Centre of Mass and Rigid Body Dynamics Class 7 (11.09.2019)

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Question 1

A thin uniform rod of length and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of

Question 2

Two-point masses of mass m1 = fM and m2 = (1 - f)M(f < 1) are in outer space (far from gravitational influence of other objects) at a distance R from each other. They move in circular orbits about their centre of mass with angular velocities ω1 for m1 and ω2 for m2. In that case

Question 3

A table fan rotating at a speed of 2400 rpm is switched off and the resulting variation of the revolution/minute with time is shown in figure. The total number of revolutions of the fan before it comes to rest is

Question 4

The moment of inertia of a rod about an axis through its centre and perpendicular to it is ML2(where, M is the mass and L the length of the rod). The rod is bent in the middle to that the two halves make an angle of 600. The moment of inertia of the bent rod about the same asix would be

Question 5

A rigid body of mass m rotates about an axis passing through its centre. If the anular velocity of the body is unity, the moment of inertia of the body will be equal to
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Sep 12JEE & BITSAT