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Learning Goal: To understand and apply the formula T = 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 = ma, where Fnet 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: Thet = Ia, where Thet=r is the net torque acting on the object and I is its moment of inertia. Figure m1 1 of 1 > 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 ₂2 are attached to a seesaw. The seesaw is made of a bar that has length I 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 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) ΤΙ ΑΣΦ a= Submit Part B ? In what direction will the seesaw rotate, and what will the sign of the angular acceleration be? O The rotation is in the clockwise direction and the angular acceleration is positive. O The rotation is in the clockwise direction and the angular acceleration is negative. O The rotation is in the counterclockwise direction and the angular acceleration is positive. O The rotation is in the counterclockwise direction and the angular acceleration is negative.

Learning Goal: To understand and apply the formula T = 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 = ma, where Fnet 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: Thet = Ia, where Thet=r is the net torque acting on the object and I is its moment of inertia. Figure m1 1 of 1 > 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 ₂2 are attached to a seesaw. The seesaw is made of a bar that has length I 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 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) ΤΙ ΑΣΦ a= Submit Part B ? In what direction will the seesaw rotate, and what will the sign of the angular acceleration be? O The rotation is in the clockwise direction and the angular acceleration is positive. O The rotation is in the clockwise direction and the angular acceleration is negative. O The rotation is in the counterclockwise direction and the angular acceleration is positive. O The rotation is in the counterclockwise direction and the angular acceleration is negative.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Learning Goal: To understand and apply the formula T = 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 Fnet 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 torque acting on the object and I is its moment of inertia. Ia, where Tnet = Στ is the net Figure m1 Ia to rigid objects = 1 of 1 > m 2 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 1 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 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) απ Submit Part B 17| ΑΣΦ 跖 In what direction will the seesaw rotate, and what will the sign of the angular acceleration be? The rotation is in the clockwise direction and the angular acceleration is positive. The rotation is in the clockwise direction and the angular acceleration is negative. The rotation is in the counterclockwise direction and the angular acceleration is positive. The rotation is in the counterclockwise direction and the angular acceleration is negative. Submit Request Answer
Transcribed Image Text:Learning Goal: To understand and apply the formula T = 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 Fnet 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 torque acting on the object and I is its moment of inertia. Ia, where Tnet = Στ is the net Figure m1 Ia to rigid objects = 1 of 1 > m 2 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 1 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 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) απ Submit Part B 17| ΑΣΦ 跖 In what direction will the seesaw rotate, and what will the sign of the angular acceleration be? The rotation is in the clockwise direction and the angular acceleration is positive. The rotation is in the clockwise direction and the angular acceleration is negative. The rotation is in the counterclockwise direction and the angular acceleration is positive. The rotation is in the counterclockwise direction and the angular acceleration is negative. Submit Request Answer
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