Use conservation of angular momentum to find the required
angular speed as shown below. Since all the discs are identical,
their moment of inertia will be same.
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20. My Notes Ask Your A disk of mass M is spinning freely at 6.03 rad/s...
A disk of mass M is spinning freely at 4.49 rad/s when a second identical disk, initially not spinning, is dropped onto it so that their axes coincide. In a short time the two disks are corotating. a) What is the angular speed of the new system (in rad/s)? b) If a third such disk is dropped on the first two, find the final angular speed of the system (in rad/s).
1 points OSuniPrys! 11.3 WA030. My Notes Ask Your In the diagram, Disk 1 has a moment of inertia of 3.80 kg m2 and is rotating in the counterclockwise direction with an angular speed of 7.50 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular speed of 8.30 rad/s falls from above onto Disk 1. The two then rotate as one in the dlockwise direction with an angular speed of 2.80 rad/s....
Consider a turntable to be a circular disk of moment of inertia 0.142 kg⋅m2 rotating at a constant angular velocity 4.80 rad/s2 around an axis through the center and perpendicular to the plane of the disk (the disk's "primary axis of symmetry"). The axis of the disk is vertical and the disk is supported by frictionless bearings. The motor of the turntable is off, so there is no external torque being applied to the axis. Another disk (a record) is...
My Notes Ask Your Teacher A disk-shaped merry-go-round of radius 2.63 m and mass 155 kg rotates freely with an angular speed of 0.673 rev/s. A 59.4 kg person running tangential to the rim of the merry-go-round at 3.17 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round's rim. (a) Does the kinetic energy of the system increase, decrease, or stay the same when the...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center of mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft(the shaft passes through the ball's center of mass) and is coupled to the disk. Assuming that the rotational inertia of the shaft is negligible, a) What is the angular speed of the disk-ball combination, b)...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center of mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft (the shaft passes through the ball's center of mass) and is coupled to the disk. Assuming that the rotational inertia is of the shaft is negligible, (b) What is the angular speed of the disk-ball...
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...
I hate turntable questions I can not understand this one atallConsider a turntable to be a circular disk of moment ofinertia rotating at a constant angular velocity around an axis through the center and perpendicular tothe plane of the disk (the disk's "primary axis of symmetry"). Theaxis of the disk is verticaland the disk is supported byfrictionless bearings. The motor of the turntable is off, so thereis no external torque being applied to the axis.Another disk (a record) is dropped...
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...