Two uniform thin identical rods each of mass 15 g and length 30 cm are joined so as to form a cross as shown in figure. The system rotates about perpendicular axis throw from its center of mass with angular velocity 20 rad/s and it is moving on circular path of radius 2 m. Calculate the total angular momentum when its tangential velocity 10 m/s.
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- A potter's wheel is a horizontal disk with a moment of inertia of 0.85 kg m2 that rotates with a constant angular speed of 2 rad/s. A small dense ball of with mass 2 kg and with negligible radius is placed 8 cm from the rotation axis. What is the new angular speed of the wheel and ball?Twin skaters approach one another as shown in the figure below and lock hands. (a) (b) 00 (a) Calculate their final angular velocity in rad/s, given each had an initial speed of 1.80 m/s relative to the ice. Each has a mass of 70 kg, and their centers of mass are 0.890 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius. What is the angular momentum of an object moving with a linear velocity about a given point? rad/s (b) Compare the initial and final kinetic energy. KE; KEf Initially the two skaters have translational motion while after the collision it is purely rotational.A uniform solid sphere with a r radius is at the end of a light rod with a lenght a like the picture. It is released from rest where the center is level with the axis. What is its angular velocity as it swings through the point where the center is below the axis. (consider the mass of the rod to be negligible compared to that of the disk)
- A 87.1 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.59 rad/s. A monkey drops a 9.53 kg bunch of bananas vertically onto the platform. They hit the platform at of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.1 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.83 m. angular velocity: rad/s 2:52 PM 47°F * 41) ENG 12/1/2021A kid runs towards the edge of a merry-go-round that is not rotating and jumps on. The merry-go-round then rotates with a constant angular velocity w. Assume that the kid has a mass of 40 kg and is initially running at a speed of 4 m/s tangent to the edge of the merry-go-round. The merry-go-round is a uniform disk with a mass of 80 kg and a radius of 2 m. Assume that it rotates without friction. What is the final angular velocity Wf (in radians/s) of the merry-go-round (with the kid riding)?Based on question 1, do question 2 plz
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