A glass bead of diameter 1.70 mm and density 2.89 g/cm³ spins uniformly at a rate of3T rad/s along a vertical nylon thread that cuts through an axis running through itscenter. Assuming the bead to be a regular solid sphere (lcom = (2/5)MR²) andneglecting the hole in the middle where the thread goes, report the kinetic energy ofthe bead in joules.7.63 x 10-10 J3.05 x 10-9 J9.54 x 10-11 J9.54 x 10-15 J

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Answered: A glass bead of diameter 1.70 mm and…

University Physics Volume 1

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Chapter11: Angular Momentum

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Problem 50P: A roller coaster has mass 3000.0 kg and needs to make it safely through a vertical circular loop of...

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The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?
The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min. (a) If the blades are 6000 kg each and the rotor assembly has three blades, calculate the angular momentum of the turbine at this rotation rate. (b) What Is the torque require to rotate the blades up to the maximum rotation rate in 5 minutes?
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.
A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its center with angular speed 1=5.0rad/s . A second cylinder with rotational inertia I2=1.0kgm2 rotates counterclockwise about the same axis with angular speed 2=8.0rad/s . If the cylinders couple so they have the same rotational axis what is the angular speed of the combination? What percentage of the original kinetic energy is lost to friction?
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A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.
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Repeat the preceding problem replacing the marble with a solid cylinder. Explain the new result.
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A roller coaster has mass 3000.0 kg and needs to make it safely through a vertical circular loop of radius 50.0 m. What is the minimum angular momentum of the coaster at the boom of the loop to make it safely through? Neglect friction on the track. Take the coaster to be a point particle.
A glass bead of diameter 1.70 mm and density 2.89 g/cm3 spins uniformly at a rate of 3π rad/s along a vertical nylon thread that cuts through an axis running through its center. Assuming the bead to be a regular solid sphere (Icom = (2/5)MR2) and neglecting the hole in the middle where the thread goes, report the kinetic energy of the bead in joules.

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