The figure below shows, at left, a solid disk of radius R = 0.650 m and mass 50.0 kg. OL 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 disk 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 disk and pulley a clockwise angular acceleration of 1.67 rad/s². The tension T₁ in the upper (taut) segment of the belt is 175 N. (a) What is the tension (in N) in the lower (slack) segment of the belt? Enter a number. ägnitude and direction of the torque due to the upper belt, in terms of the tension in the upper belt? What about the lower belt? What is the net torque, and how is it related to the angular acceleration? Be careful of signs-what is the direction of the angular acceleration, and how is it related to the torque directions? 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 disk accelerates clockwise. The upper segment of the belt once again has a tension of 175 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
The figure below shows, at left, a solid disk of radius R = 0.650 m and mass 50.0 kg. OL 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 disk 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 disk and pulley a clockwise angular acceleration of 1.67 rad/s². The tension T₁ in the upper (taut) segment of the belt is 175 N. (a) What is the tension (in N) in the lower (slack) segment of the belt? Enter a number. ägnitude and direction of the torque due to the upper belt, in terms of the tension in the upper belt? What about the lower belt? What is the net torque, and how is it related to the angular acceleration? Be careful of signs-what is the direction of the angular acceleration, and how is it related to the torque directions? 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 disk accelerates clockwise. The upper segment of the belt once again has a tension of 175 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 disk of radius R = 0.650 m and mass 50.0 kg.
R
Tu
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 disk 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 disk and
pulley a clockwise angular acceleration of 1.67 rad/s². The tension in the upper (taut) segment of the belt is 175 N.
u
(a) What is the tension (in N) in the lower (slack) segment of the belt?
Enter a number. ägnitude and direction of the torque due to the upper belt, in terms of the tension in the upper belt? What about the lower belt?
What is the net torque, and how is it related to the angular acceleration? Be careful of signs-what is the direction of the angular acceleration, and
how is it related to the torque directions? 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 disk accelerates clockwise. The upper segment of the belt once again has a tension of 175 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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