During a gym session, Ayanda sits on a freely rotating stool holding two dumbbells, each of mass 2.50 kg as shown in Figure 2. When his arms are extended horizontally, the dumbbells are 0.900 m from the axis of rotation and Ayanda rotates with an angular speed of 0.675 rad/s. His moment of inertia plus stool is 4.00 kg · m2 and is assumed to be constant. Ayanda pulls the dumbbells inward horizontally to a position 0.300 m from the rotation axis. Find his new angular speed and the change in kinetic energy of the rotating system using I = mr2 for dumbbells.

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During a gym session, Ayanda sits on a freely rotating stool holding two dumbbells, each

of mass 2.50 kg as shown in Figure 2. When his arms are extended horizontally, the

dumbbells are 0.900 m from the axis of rotation and Ayanda rotates with an angular

speed of 0.675 rad/s. His moment of inertia plus stool is 4.00 kg · m2 and is assumed to

be constant. Ayanda pulls the dumbbells inward horizontally to a position 0.300 m from

the rotation axis. Find his new angular speed and the change in kinetic energy of the

rotating system using I = mr2

for dumbbells.

Figure 2: Ayanda holding dumbbells
Transcribed Image Text:Figure 2: Ayanda holding dumbbells
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