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15. A thin spherical shell of radius R = 5.0 cm and mass M = 2.0 kg is placed at the top of an incline. The surface of the incline makes an angle 0 = 25° with the horizontal. The shell is released from rest and rolls without slipping. [Icom =MR² for spherical shell] a) What is the acceleration of its center of mass (acom) during rolling? b) What is the magnitude and direction of the force of friction required to maintain pure rolling? c) If it reaches an angular speed of w = 84 rad/s at the bottom of the incline, what is the height h of the incline? Answers: a) 2.48 m/s² ; b) 3.31N, directed up the incline; c) 1.5m

15. A thin spherical shell of radius R = 5.0 cm and mass M = 2.0 kg is placed at the top of an incline. The surface of the incline makes an angle 0 = 25° with the horizontal. The shell is released from rest and rolls without slipping. [Icom =MR² for spherical shell] a) What is the acceleration of its center of mass (acom) during rolling? b) What is the magnitude and direction of the force of friction required to maintain pure rolling? c) If it reaches an angular speed of w = 84 rad/s at the bottom of the incline, what is the height h of the incline? Answers: a) 2.48 m/s² ; b) 3.31N, directed up the incline; c) 1.5m

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A thin spherical shell of radius R = 5.0 cm and mass M = 2.0 kg is placed at the top of an incline. The surface of the incline makes an angle 0 = 25° with the horizontal. The shell is released from rest and rolls without 15. slipping. [Icom =MR² for spherical shell] a) What is the acceleration of its center of mass (acom) during rolling? b) What is the magnitude and direction of the force of friction required to maintain pure rolling? c) If it reaches an angular speed of w = 84 rad/s at the bottom of the incline, what is the height h of the incline? Answers: a) 2.48 m/s² ; b) 3.31N, directed up the incline; c) 1.5m
Transcribed Image Text:A thin spherical shell of radius R = 5.0 cm and mass M = 2.0 kg is placed at the top of an incline. The surface of the incline makes an angle 0 = 25° with the horizontal. The shell is released from rest and rolls without 15. slipping. [Icom =MR² for spherical shell] a) What is the acceleration of its center of mass (acom) during rolling? b) What is the magnitude and direction of the force of friction required to maintain pure rolling? c) If it reaches an angular speed of w = 84 rad/s at the bottom of the incline, what is the height h of the incline? Answers: a) 2.48 m/s² ; b) 3.31N, directed up the incline; c) 1.5m
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