A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.907 rad/s. You, with a mass of 71.1 kg, walk clockwise around the platform along its edge at the speed of 1.09 m/s with respect to the platform. Your 21.1 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 17.1 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 93.1 kg and radius 1.87 m. Calculate the total angular momentum of the system. total angular momentum: 16.19 kg · m²/s A solid 0.4150 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.8150 m. What minimum translational speed vmin must the ball have when it is a height H = 1.298 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius R. Use g = 9.810 m/s? for the acceleration due to gravity. Н Figure is not to scale, Umin = 3.811 m/s

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.907 rad/s. You, with a mass of 71.1 kg, walk clockwise around the platform along its edge at the speed of 1.09 m/s with respect to the platform. Your 21.1 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 17.1 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 93.1 kg and radius 1.87 m. Calculate the total angular momentum of the system. total angular momentum: 16.19 kg · m²/s A solid 0.4150 kg ball rolls without slipping down a track toward a vertical loop of radius R = 0.8150 m. What minimum translational speed vmin must the ball have when it is a height H = 1.298 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius R. Use g = 9.810 m/s? for the acceleration due to gravity. Н Figure is not to scale, Umin = 3.811 m/s

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 89AP: A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis...

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