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Learning Goal: To understand and apply the formula 7 = Ia to rigid objects rotating about a fixed axis. To find the acceleration a of a particle of mass m, we use Newton's second law: Fnet = = mã, where F net is the net force acting on the particle. To find the angular acceleration a of a rigid object rotating about a fixed axis, we can use a similar formula: = Tnet Ia, where Tnet = :Σ T is the net torque acting on the object and I is its moment of inertia. In this problem, you will practice applying this formula to several situations involving angular acceleration. In all of these situations, two objects of masses m1 and m2 are attached to a seesaw. The seesaw is made of a bar that has length 7 and is pivoted so that it is free to rotate in the vertical plane without friction.Assume that the pivot is attached to the center of the bar. You are to find the angular acceleration of the seesaw when it is set in motion from the horizontal position. In all cases, assume that m₁ > m2. Part A Figure 1 of 1 111 2 m1 Assume that the mass of the swing bar, as shown in the figure, is negligible. (Figure 1) Find the magnitude of the angular acceleration a of the seesaw. Express your answer in terms of some or all of the quantities m₁, m2, l, as well as the acceleration due to gravity g. ▼ View Available Hint(s) Hint 1. Find the moment of inertia Find the moment of inertia I of the system. Express your answer in terms of some or all of the quantities m₁, m2, and 1. 2 I = (m₁ + m² ) ( ½) ² Submit Previous Answers All attempts used; correct answer displayed Hint 2. Find the net torque Find the magnitude of the net torque 7 acting on the system. Express your answer in terms of some or all of the quantities m1, m2, l, as well as the acceleration due to gravity g. (m1-m2)(gl) T = 2 Submit Previous Answers All attempts used; correct answer displayed 2g(m1-m2) απ l(m1+m2)

Learning Goal: To understand and apply the formula 7 = Ia to rigid objects rotating about a fixed axis. To find the acceleration a of a particle of mass m, we use Newton's second law: Fnet = = mã, where F net is the net force acting on the particle. To find the angular acceleration a of a rigid object rotating about a fixed axis, we can use a similar formula: = Tnet Ia, where Tnet = :Σ T is the net torque acting on the object and I is its moment of inertia. In this problem, you will practice applying this formula to several situations involving angular acceleration. In all of these situations, two objects of masses m1 and m2 are attached to a seesaw. The seesaw is made of a bar that has length 7 and is pivoted so that it is free to rotate in the vertical plane without friction.Assume that the pivot is attached to the center of the bar. You are to find the angular acceleration of the seesaw when it is set in motion from the horizontal position. In all cases, assume that m₁ > m2. Part A Figure 1 of 1 111 2 m1 Assume that the mass of the swing bar, as shown in the figure, is negligible. (Figure 1) Find the magnitude of the angular acceleration a of the seesaw. Express your answer in terms of some or all of the quantities m₁, m2, l, as well as the acceleration due to gravity g. ▼ View Available Hint(s) Hint 1. Find the moment of inertia Find the moment of inertia I of the system. Express your answer in terms of some or all of the quantities m₁, m2, and 1. 2 I = (m₁ + m² ) ( ½) ² Submit Previous Answers All attempts used; correct answer displayed Hint 2. Find the net torque Find the magnitude of the net torque 7 acting on the system. Express your answer in terms of some or all of the quantities m1, m2, l, as well as the acceleration due to gravity g. (m1-m2)(gl) T = 2 Submit Previous Answers All attempts used; correct answer displayed 2g(m1-m2) απ l(m1+m2)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Learning Goal: To understand and apply the formula 7 = Ia to rigid objects rotating about a fixed axis. To find the acceleration a of a particle of mass m, we use Newton's second law: Fnet = = mã, where F net is the net force acting on the particle. To find the angular acceleration a of a rigid object rotating about a fixed axis, we can use a similar formula: = Tnet Ia, where Tnet = :Σ T is the net torque acting on the object and I is its moment of inertia. In this problem, you will practice applying this formula to several situations involving angular acceleration. In all of these situations, two objects of masses m1 and m2 are attached to a seesaw. The seesaw is made of a bar that has length 7 and is pivoted so that it is free to rotate in the vertical plane without friction.Assume that the pivot is attached to the center of the bar. You are to find the angular acceleration of the seesaw when it is set in motion from the horizontal position. In all cases, assume that m₁ > m2. Part A Figure 1 of 1 111 2 m1 Assume that the mass of the swing bar, as shown in the figure, is negligible. (Figure 1) Find the magnitude of the angular acceleration a of the seesaw. Express your answer in terms of some or all of the quantities m₁, m2, l, as well as the acceleration due to gravity g. ▼ View Available Hint(s) Hint 1. Find the moment of inertia Find the moment of inertia I of the system. Express your answer in terms of some or all of the quantities m₁, m2, and 1. 2 I = (m₁ + m² ) ( ½) ² Submit Previous Answers All attempts used; correct answer displayed Hint 2. Find the net torque Find the magnitude of the net torque 7 acting on the system. Express your answer in terms of some or all of the quantities m1, m2, l, as well as the acceleration due to gravity g. (m1-m2)(gl) T = 2 Submit Previous Answers All attempts used; correct answer displayed 2g(m1-m2) απ l(m1+m2)
Transcribed Image Text:Learning Goal: To understand and apply the formula 7 = Ia to rigid objects rotating about a fixed axis. To find the acceleration a of a particle of mass m, we use Newton's second law: Fnet = = mã, where F net is the net force acting on the particle. To find the angular acceleration a of a rigid object rotating about a fixed axis, we can use a similar formula: = Tnet Ia, where Tnet = :Σ T is the net torque acting on the object and I is its moment of inertia. In this problem, you will practice applying this formula to several situations involving angular acceleration. In all of these situations, two objects of masses m1 and m2 are attached to a seesaw. The seesaw is made of a bar that has length 7 and is pivoted so that it is free to rotate in the vertical plane without friction.Assume that the pivot is attached to the center of the bar. You are to find the angular acceleration of the seesaw when it is set in motion from the horizontal position. In all cases, assume that m₁ > m2. Part A Figure 1 of 1 111 2 m1 Assume that the mass of the swing bar, as shown in the figure, is negligible. (Figure 1) Find the magnitude of the angular acceleration a of the seesaw. Express your answer in terms of some or all of the quantities m₁, m2, l, as well as the acceleration due to gravity g. ▼ View Available Hint(s) Hint 1. Find the moment of inertia Find the moment of inertia I of the system. Express your answer in terms of some or all of the quantities m₁, m2, and 1. 2 I = (m₁ + m² ) ( ½) ² Submit Previous Answers All attempts used; correct answer displayed Hint 2. Find the net torque Find the magnitude of the net torque 7 acting on the system. Express your answer in terms of some or all of the quantities m1, m2, l, as well as the acceleration due to gravity g. (m1-m2)(gl) T = 2 Submit Previous Answers All attempts used; correct answer displayed 2g(m1-m2) απ l(m1+m2)
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