A spool with thread wound around it is initially at rest at the top of a...
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A spool with thread wound around it is initially at rest at the top of a frictionless incline. The spool's center of mass is initially at a height h 15 cm from a reference height. The incline makes an angle = 31° with respect to the horizontal. One end of the thread, which is parallel to the incline, is attached to the wall. The rest of the thread is wrapped around the radius r = 1.1 cm of the spool. Assume that the thread has a negligible thickness so that the radii of the spool's circular end parts are essentially also 1.1 cm (see the figure). Assume that the spool is a solid cylinder. The mass of the spool is 121 g and the thread is massless. The thread starts to unroll and the spool begins to rotate as it moves down the incline. The acceleration of the center of mass of the spool as it moves down the incline is 1.4 m/s². m e a) The magnitude the wall is about: of the force of tension in the threat attached to [Select] N b) The magnitude of the torque acting on the spool is about: [Select] Nm c) The magnitude of the angular acceleration of the spool is about: [Select] rad/s² d) The moment of inertia of the spool is about: [Select] kgm² e) The total initial mechanical energy of the spool at height h with respect to the reference height is about: [Select] J f) The total final mechanical energy of the spool after it descended the vertical distance h is about: [ Select] g) The total final kinetic energy of the spool after it descended the vertical distance h is about: [Select] h) The final speed of the center of mass after it descended the vertical distance h is about: [Select] m/s i) The magnitude of the final angular velocity of the spool after it descended the vertical distance h is about: [Select] rad/s j) The spool reached this angular velocity in about: [Select] A spool with thread wound around it is initially at rest at the top of a frictionless incline. The spool's center of mass is initially at a height h 15 cm from a reference height. The incline makes an angle = 31° with respect to the horizontal. One end of the thread, which is parallel to the incline, is attached to the wall. The rest of the thread is wrapped around the radius r = 1.1 cm of the spool. Assume that the thread has a negligible thickness so that the radii of the spool's circular end parts are essentially also 1.1 cm (see the figure). Assume that the spool is a solid cylinder. The mass of the spool is 121 g and the thread is massless. The thread starts to unroll and the spool begins to rotate as it moves down the incline. The acceleration of the center of mass of the spool as it moves down the incline is 1.4 m/s². m e a) The magnitude the wall is about: of the force of tension in the threat attached to [Select] N b) The magnitude of the torque acting on the spool is about: [Select] Nm c) The magnitude of the angular acceleration of the spool is about: [Select] rad/s² d) The moment of inertia of the spool is about: [Select] kgm² e) The total initial mechanical energy of the spool at height h with respect to the reference height is about: [Select] J f) The total final mechanical energy of the spool after it descended the vertical distance h is about: [ Select] g) The total final kinetic energy of the spool after it descended the vertical distance h is about: [Select] h) The final speed of the center of mass after it descended the vertical distance h is about: [Select] m/s i) The magnitude of the final angular velocity of the spool after it descended the vertical distance h is about: [Select] rad/s j) The spool reached this angular velocity in about: [Select]
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Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
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