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8. Joe is spinning on a stool at 24 rad/s about his longitudinal axis when he...
Kristen is spinning on the ice at 40 rad/s about her longitudinal axis when she abducts her arms and doubles her radius of gyration about her longitudinal axis from 32 cm to 64 cm. If her angular momentum is conserved, what is her angular velocity about her longitudinal axis after she increases her radius of gyration (in rad/s)?
Kim is spinning on the ice at 20 rad/s about her longitudinal axis when she abducts her arms and doubles her radius of gyration about her longitudinal axis from 30 em to 60 cm. If her angular momentum is conserved, what is her angular velocity about her longitudinal axis after she increases her radius of gyration?
A student holds a spinning bicycle wheel while sitting
motionless on a stool that is free to rotate about a vertical axis
through its center (see the figure below). The wheel spins with an
angular speed of 16.1 rad/s and its initial angular momentum is
directed up. The wheel's moment of inertia is 0.110 kg ·
m2 and the moment of inertia for the student plus stool
is 3.30 kg · m2.
(a)
Find the student's final angular speed (in...
18. A wheel is spinning about a horizontal axis with angular speed 150 rad/s and with its angular velocity pointing east. Find the magnitude and direction of its angular velocity after an angular acceleration of 40 rad/s, pointing 64° west of north, is applied for 5.0 s.
A diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m. After he tucks the body, what is his angular velocity about the transverse axis? A.) 12.5 rad/s B.) 1 rad/s C.) 2.5 rad/s D.) 10...
A student sits on a rotating stool holding two 2.9-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg · m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.45 m from the rotation axis. (a) Find the new angular speed of the...
A student sits on a rotating stool holding two2.7-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg
A physics professor sits on a stool mounted to a low friction rotating platform while holding a 2.8 kg mass in each hand. When his arms are fully extended away from his body, the masses are each 1.15 m from the central vertical axis of rotation. A helpful student pushes on the masses as the professor begins spinning faster and faster until the professor rotates with an angular velocity of 0.9 rad/s. The moment of inertia of the professor and...
A student sits on a rotating stool holding two 3.2-kg objects. When his arms are extended horizontally, the objects are 1.0 m from the axis of rotation and he rotates with an angular speed of 0.75 rad/s. The moment of inertia of the student plus stool is 3.0 kg · m2 and is assumed to be constant. The student then pulls in the objects horizontally to 0.23 m from the rotation axis. a. Find the new angular speed of the...
a 60 kg gymnast leaves the ground with angular momentum about his transverse axis of 15 kg m2/s. His radius of gyration about the transverse axis is 0.7 m at take-off. During his subsequent somersault, he reduces his radius of gyration to 0.4 m. (a) What is the moment of inertia of the gymnast at take-off? During the somersault? (b) What is the angular velocity of the gymnast at take-off? During the somersault? (c) If it takes the gymnast 0.25...