A soda bottle cap wobbles when spinning. Assume that the cap is a thin disk of...
A thin disk (radius R and mass M) attached to the top of a hollow cylinder (height & radius R and mass M) is wobbling while spinning. ←R-height-radius Derive an expression for the angular momentum L of the object lif its initial rotation vector ω ω|êut ω3ез. Assume that ω3 is large and nonzero, that ω! İs nonzero but small, and that ω2 is initially zero A thin disk (radius R and mass M) attached to the top of a...
A hard drive disk of mass M and radius R is spinning at speed W. A small magnet of mass M/3 is gently placed R/2 from the center, where it sticks. The moment of inertia of a disk is žmor?.and the , and the moment of inertia of a particle is m S, where r is the radius. What is the angular speed of the disk after the magnet is added? 07 © UN MILO min 33 0
pleas show all work May. 15, 2019 PROBLEMI (22%) Free body diagram: 24 K o (x,0) 0.5r No slip (a) An eccentric disk is rotating on the ground as shown in the figure above. The disk has radius r. The distance between the center of mass of the disk (denoted as C) to its geometric center (denoted as O) sır. The angle of rotation of the disk is θ and the displacement at point O is x. The disk has...
A person with mass mp = 74 kg stands on a spinning platform disk with a radius of R = 2.37 m and mass md = 184 kg. The disk is initially spinning at ? = 1.9 rad/s. The person then walks 2/3 of the way toward the center of the disk (ending 0.79 m from the center). 1) What is the total moment of inertia of the system about the center of the disk when the person stands...
A person with mass mp = 76 kg stands on a spinning platform disk with a radius of R = 1.89 m and mass md = 191 kg. The disk is initially spinning at ω = 1.6 rad/s. The person then walks 2/3 of the way toward the center of the disk (ending 0.63 m from the center). 1) What is the total moment of inertia of the system about the center of the disk when the person stands on...
Calculate the angular momentum for a rotating disk, sphere, and rod. (a) A uniform disk of mass 16 kg, thickness 0.5 m, and radius 0.9 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.7 s. What is the...
A person with mass mp = 79 kg stands on a spinning platform disk with a radius of R = 1.86 m and mass md = 183 kg. The disk is initially spinning at ω = 1.8 rad/s. The person then walks 2/3 of the way toward the center of the disk (ending 0.62 m from the center). 1) What is the total moment of inertia of the system about the center of the disk when the person stands on...
A person with mass ma = 75 kg stands on a spinning platform disk with a radius of R = 1.71 m and mass m-188 kg. The disk is initially spinning at ω = 1 rad/s. The person then walks 2/3 of the way toward the center of the disk (ending 0.57 m from the center). 1)What is the total moment of inertia of the system about the center of the disk when the person stands on the rim of...
One simple pendulum and the physical pendulums (disk and rod) are suspended on the crossbar, as shown in figure. (a) Calculate the natural linear frequency of the simple pendulum, if the length of the simple pendulum is =1.6 m (b) Calculate the natural angular frequency of the disk. The radius L 5 of the disk is R=0.5 m; moment of inertia about an axis through the 0.3 R center of mass is ICM =mR2 (c) Calculate the natural period of...
(a) A uniform disk of mass 14 kg, thickness 0.5 m, and radius 0.4 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.5 s. What is the rotational angular momentum of the disk? What is the rotational kinetic...