Given two was all its mass concentrated inthin flat disc. Calculate the rotational kinetic energy Ul OiftheConsider the6.particle hasothers by rodare rotated at 10 rev s'.4.particles) (a) Calculate the moment of inertia of the molecule al4.6 x 1012 rad s', what is its rotational kinetic energy? (Ans.: (a) 1x 104“kg m² (b) 2.06 x 10²'J)5.Four tiny spheres are fastened to the ends of the rods of negligimass lying in the xy plane as shown in the figure below. Assumithat the radii of the spheres are small compared with the dimensionthe rods (a) If the system rotates about the y axis with an angulspeed o, find the moment of inertia and the rotational kinetic enerabout this axis (b) suppose the system rotates in the xy plane about aaxis (the z axis) through 0, calculate the moment of inertia anrotational kinetic energy about this axis. (Ans.: (a) I, = 2Ma“, KE,Ma'o (b) I, = 2M2² + 2mb², KE, = (Ma² + mb³)m²)(a) Deterof thez axiarrayparti%3D%3D7.particlConsic[60]

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thin flat disc. are rotated at 10 rev s. 4. 10kg and at room temperature, the average separation between atoms is d = 1.21 x 101ºm (Note that the atoms are moda 4.6 x 1012 rad s', what is its rotational kinetic energy? (Ans.: (a) 1 x 10“kg m² (b) 2.06 x 102J) Four tiny spheres are fastened to the ends of the rods of negligih that the radii of the spheres are small compared with the dimension the rods (a) If the system rotates about the y axis with an angul speed o, find the moment of inertia and the rotational kinetic enere about this axis (b) suppose the system rotates in the xy plane about axis (the z axis) through 0, calculate the moment of inertia a rotational kinetic energy about this axis. (Ans.: (a) I, = 2Ma“, KE Mao (b) I, = 2Ma? + 2mb?, KE, = %3D (Ma² + mb²)w²)

thin flat disc. are rotated at 10 rev s. 4. 10kg and at room temperature, the average separation between atoms is d = 1.21 x 101ºm (Note that the atoms are moda 4.6 x 1012 rad s', what is its rotational kinetic energy? (Ans.: (a) 1 x 10“kg m² (b) 2.06 x 102J) Four tiny spheres are fastened to the ends of the rods of negligih that the radii of the spheres are small compared with the dimension the rods (a) If the system rotates about the y axis with an angul speed o, find the moment of inertia and the rotational kinetic enere about this axis (b) suppose the system rotates in the xy plane about axis (the z axis) through 0, calculate the moment of inertia a rotational kinetic energy about this axis. (Ans.: (a) I, = 2Ma“, KE Mao (b) I, = 2Ma? + 2mb?, KE, = %3D (Ma² + mb²)w²)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its...

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