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A flywheel rotates with uniform angular acceleration. Its angular velocity increases from 20π rads-1 to 40 π rads-1 in 10 s. How many rotations did it make in this period?

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Important Questions on Systems of Particles and Rotational Motion

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A disc is rotating with an angular velocity ω0 . A constant retarding torque is applied on it to stop the disc. The angular velocity becomes ω0/2 after n rotations. How many more rotations will it make before coming to rest?
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A constant couple of 400 N m turns a wheel of moment of inertia 100 kg m2 about an axis through its centre. The angular velocity gained in 4 s is
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If the length of the second's hand in a stop-clock is 3 cm, the angular velocity and linear velocity of the tip is
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The wheels on the old-time bicycle shown in the diagram have radii of 60.0 cm. and 10.0 cm. If the larger wheel is rotating at 12.0 rad s-1, what is the angular speed of the smaller wheel?

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Which of the following increases the moment of force on an object?
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The force 7i^+3j^-5k^ acts on a particle whose position vector is i^-j^+k^. What is the torque of a given force about the origin?
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A rigid rod of length 2L is acted upon by some forces. All forces labelled F have the same magnitude. Which cases have a non-zero net torque acting on the rod about its center?
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A metre stick is balanced on a knife edge at its centre. When two coins, each of mass 5 g are put one on top of the other at the 12 cm mark, the stick is found to be balanced at 45 cm. The mass of the meter stick is: