The figure below shows, at left, a solid wheel of radius R = 0.600 m and mass 70.0 kg. Mounted directily to it and coaxial with it is a pulley with a much smaller mass and a radius of r = 0.230 m. The wheel and puley assembly are on a frictionless axie. A belt is wrapped around the pulley and connected to an electric motor as shown on the right. The turning motor gives the wheel and pulley a clockwise angular acceleration of 1.67 rad/s. The tension T in the upper (taut) segment of the belt is 165 N. (a) What is the tension (in N) in the lower (slack) segment of the belt? (b) What If? You replace the belt with a different one (one slightly longer and looser, but still tight enough that tension of 165 N, but now the tension in the lower belt is exactly zero. What is the magnitude of the angular acceleration (in rad/s2)? does not sag). You again turn on the motor o that the wheel accelerates clockwise. The upper segment of the belt once again has a rad/s?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...
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The figure below shows, at left, a solid wheel of radius R = 0.600 m and mass 70.0 kg.
Mounted directly to it and coaxial with it is a pulley with a much smaller mass and a radius of r = 0.230 m. The wheel and pulley assembly are on a frictionless axle. A belt is wrapped around the pulley and connected to an electric motor as shown on the
right. The turning motor gives the wheel and pulley a clockwise angular acceleration of 1.67 rad/s?. The tension T., in the upper (taut) segment of the belt is 165 N.
(a) What is the tension (in N) in the lower (slack) segment of the belt?
N
(b) What If? You replace the belt with a different one (one slightly longer and looser, but still tight enough that it does not sag). You again turn on the motor so that the wheel accelerates clockwise. The upper segment of the belt once again has a
tension of 165 N, but now the tension in the lower belt is exactly zero. What is the magnitude of the angular acceleration (in rad/s2)?
rad/s2
Transcribed Image Text:The figure below shows, at left, a solid wheel of radius R = 0.600 m and mass 70.0 kg. Mounted directly to it and coaxial with it is a pulley with a much smaller mass and a radius of r = 0.230 m. The wheel and pulley assembly are on a frictionless axle. A belt is wrapped around the pulley and connected to an electric motor as shown on the right. The turning motor gives the wheel and pulley a clockwise angular acceleration of 1.67 rad/s?. The tension T., in the upper (taut) segment of the belt is 165 N. (a) What is the tension (in N) in the lower (slack) segment of the belt? N (b) What If? You replace the belt with a different one (one slightly longer and looser, but still tight enough that it does not sag). You again turn on the motor so that the wheel accelerates clockwise. The upper segment of the belt once again has a tension of 165 N, but now the tension in the lower belt is exactly zero. What is the magnitude of the angular acceleration (in rad/s2)? rad/s2
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