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Our goal is to calculate the tensions in the two ropes if the person is momentarily motionless (Part 3). Set up Newton's 2nd Law in the x and y directions when the system is at rest. What should the sum of the forces add up to? 1. Set-up Newton's 2nd Law is in terms of symbols and notations only. Please do not substitute any numerical values except for the angles. Write expressions for ΣF, and ΣF, in terms of T₁, T₂, m, g, and the numerical values of the angles. For example, you may express the x-component of T₁ as ₁sin(15⁰) or T₁cos(105°) 2. Take the upward direction to be the +y-direction, and to the right to be the +x-direction. 3. REMEMBER TO ADD THE DEGREE SIGN FOR THE ANGLES AND THE SUBSCRIPTS FOR THE TENSIONS USING THE MATH EDITOR. The degree symbol is available in the math type menu by clicking the arrow to the right of the division sign as shown in the figure below. For example you could enter cos(32°). Use the editor for adding subscripts to the tensions. ។ D 0⁰ √O VO (0) (00) 00 π X a ± S ^ n 2 VU%

Our goal is to calculate the tensions in the two ropes if the person is momentarily motionless (Part 3). Set up Newton's 2nd Law in the x and y directions when the system is at rest. What should the sum of the forces add up to? 1. Set-up Newton's 2nd Law is in terms of symbols and notations only. Please do not substitute any numerical values except for the angles. Write expressions for ΣF, and ΣF, in terms of T₁, T₂, m, g, and the numerical values of the angles. For example, you may express the x-component of T₁ as ₁sin(15⁰) or T₁cos(105°) 2. Take the upward direction to be the +y-direction, and to the right to be the +x-direction. 3. REMEMBER TO ADD THE DEGREE SIGN FOR THE ANGLES AND THE SUBSCRIPTS FOR THE TENSIONS USING THE MATH EDITOR. The degree symbol is available in the math type menu by clicking the arrow to the right of the division sign as shown in the figure below. For example you could enter cos(32°). Use the editor for adding subscripts to the tensions. ។ D 0⁰ √O VO (0) (00) 00 π X a ± S ^ n 2 VU%

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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Our goal is to calculate the tensions in the two ropes if the person is momentarily motionless (Part 3). Set up Newton's 2nd Law in the x and y directions when the system is at rest. What should the sum of the forces add up to? 1. Set-up Newton's 2nd Law is in terms of symbols and notations only. Please do not substitute any numerical values except for the angles. Write expressions for ΣF, and ΣF, in terms of T₁, T₂, m, g, and the numerical values of the angles. For example, you may express the x-component of T₁ as — T₁sin(15°) or T₁cos(105°) 1 2. Take the upward direction to be the +y-direction, and to the right to be the +x-direction. 3. REMEMBER TO ADD THE DEGREE SIGN FOR THE ANGLES AND THE SUBSCRIPTS FOR THE TENSIONS USING THE MATH EDITOR. The degree symbol is available in the math type menu by clicking the arrow to the right of the division sign as shown in the figure below. For example you could enter cos(32°). Use the editor for adding subscripts to the tensions. Olo 0 wo T (1) (0) T a ± ≤An VU%. ΣFx= T₂cos(10⁰) — T₁sin(15°)✔✔ = 0 (Positive x direction is to the right) ΣF₁ = T₂sin(10°) + T₁cos(15°)—w✔ = 0 (Positive y direction is upwards)
Transcribed Image Text:Our goal is to calculate the tensions in the two ropes if the person is momentarily motionless (Part 3). Set up Newton's 2nd Law in the x and y directions when the system is at rest. What should the sum of the forces add up to? 1. Set-up Newton's 2nd Law is in terms of symbols and notations only. Please do not substitute any numerical values except for the angles. Write expressions for ΣF, and ΣF, in terms of T₁, T₂, m, g, and the numerical values of the angles. For example, you may express the x-component of T₁ as — T₁sin(15°) or T₁cos(105°) 1 2. Take the upward direction to be the +y-direction, and to the right to be the +x-direction. 3. REMEMBER TO ADD THE DEGREE SIGN FOR THE ANGLES AND THE SUBSCRIPTS FOR THE TENSIONS USING THE MATH EDITOR. The degree symbol is available in the math type menu by clicking the arrow to the right of the division sign as shown in the figure below. For example you could enter cos(32°). Use the editor for adding subscripts to the tensions. Olo 0 wo T (1) (0) T a ± ≤An VU%. ΣFx= T₂cos(10⁰) — T₁sin(15°)✔✔ = 0 (Positive x direction is to the right) ΣF₁ = T₂sin(10°) + T₁cos(15°)—w✔ = 0 (Positive y direction is upwards)
1. 15° T₁ W T₂ J.10° Our goal is to calculate the tensions in the two ropes if the person is momentarily motionless (Part 3). Set up Newton's 2nd Law in the x and y directions when the system is at rest. What should the sum of the forces add up to? 1. Set-up Newton's 2nd Law is in terms of symbols and notations only. Please do not substitute any numerical values except for the angles. Write expressions for ΣF, and ΣF, in terms of T₁, T₂, m, g, and the numerical values of the angles. For example, you may express the x-component of T₁ as — T₁sin(15°) or T₁cos(105⁰) 1 2. Take the upward direction to be the +y-direction, and to the right to be the +x-direction.
Transcribed Image Text:1. 15° T₁ W T₂ J.10° Our goal is to calculate the tensions in the two ropes if the person is momentarily motionless (Part 3). Set up Newton's 2nd Law in the x and y directions when the system is at rest. What should the sum of the forces add up to? 1. Set-up Newton's 2nd Law is in terms of symbols and notations only. Please do not substitute any numerical values except for the angles. Write expressions for ΣF, and ΣF, in terms of T₁, T₂, m, g, and the numerical values of the angles. For example, you may express the x-component of T₁ as — T₁sin(15°) or T₁cos(105⁰) 1 2. Take the upward direction to be the +y-direction, and to the right to be the +x-direction.
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