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Six identical rods of negligible mass are each supported by a fulcrum. A mass is hung off of one end of each ród, and a downward force is applied at the other end. In each case, the angle the rod makes with the horizontal is the same. Rank the cases shown below according to the size of the force needed to keep the rod mo- ionless, from greatest force to least force. Indicate if there are any cases where the forces are qual, and explain your reasoning.

Six identical rods of negligible mass are each supported by a fulcrum. A mass is hung off of one end of each ród, and a downward force is applied at the other end. In each case, the angle the rod makes with the horizontal is the same. Rank the cases shown below according to the size of the force needed to keep the rod mo- ionless, from greatest force to least force. Indicate if there are any cases where the forces are qual, and explain your reasoning.

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College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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6. Six identical rods of negligible mass are each supported by a fulcrum. A mass is hung off of one end of each ród, and a downward force is applied at the other end. In each case, the angle the rod makes with the horizontal is the same. Rank the cases shown below according to the size of the force needed to keep the rod mo- tionless, from greatest force to least force. Indicate if there are any cases where the forces are equal, and explain your reasoning. A 100 kg D 200 kg 101 F B 100 kg E 200 kg (a) On YouTube, I found a video of Scooter Christiansen of the Harlem Globetrotters spinning a basketball balanced on their forehead. It looked like the basketball was initially spinning at a rate of 4.0 rev/s. C What is the angular momentum of the bas- ketball? (Don't forget to give the direction! Refer to the image to the right, which has an added arrow showing the direction of the spin of the ball.) 100 kg F 7. A men's basketball has a radius of about 12 cm and a mass of about 0.63 kg. It can be treated as a thin spherical shell with a rotational inertia of mr² about an axis that goes through its center. 200 kg 4. HE HARLEM OBETROTTERS 30900 (b) Over a five second span in the video, the basketball slowed down to a stop, still balanced on their forehead. What is the average angular acceleration of the basketball during those 5 seconds? (Remember that angular acceleration should be in rad/s/s and is a vector.) (c) What is the average torque experienced by the basketball due to the friction from inter- acting with the forehead? (d) About how far has the basketball rotated during those 5 seconds? (You can give your answer in either radians or rotations.)
Transcribed Image Text:6. Six identical rods of negligible mass are each supported by a fulcrum. A mass is hung off of one end of each ród, and a downward force is applied at the other end. In each case, the angle the rod makes with the horizontal is the same. Rank the cases shown below according to the size of the force needed to keep the rod mo- tionless, from greatest force to least force. Indicate if there are any cases where the forces are equal, and explain your reasoning. A 100 kg D 200 kg 101 F B 100 kg E 200 kg (a) On YouTube, I found a video of Scooter Christiansen of the Harlem Globetrotters spinning a basketball balanced on their forehead. It looked like the basketball was initially spinning at a rate of 4.0 rev/s. C What is the angular momentum of the bas- ketball? (Don't forget to give the direction! Refer to the image to the right, which has an added arrow showing the direction of the spin of the ball.) 100 kg F 7. A men's basketball has a radius of about 12 cm and a mass of about 0.63 kg. It can be treated as a thin spherical shell with a rotational inertia of mr² about an axis that goes through its center. 200 kg 4. HE HARLEM OBETROTTERS 30900 (b) Over a five second span in the video, the basketball slowed down to a stop, still balanced on their forehead. What is the average angular acceleration of the basketball during those 5 seconds? (Remember that angular acceleration should be in rad/s/s and is a vector.) (c) What is the average torque experienced by the basketball due to the friction from inter- acting with the forehead? (d) About how far has the basketball rotated during those 5 seconds? (You can give your answer in either radians or rotations.)
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