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This warm-up question refers to an experimental rotational device that you will see in operation in studio. The warm-up hints on Blackboard show a detailed video of its operation. We strongly recommend that you watch the video before solving this warm-up question - the diagrams we show below, as well as the steps toward the solution, will make more sense after watching the video. Use your knowledge of uniform circular motion and Newton's 2nd Law in combination to answer the questions. Figure Tension Im string MHU spring bracket supporting M mg string 1 of 3 Fspring Mg free body diagram ▼ Part A Express the magnitude of the acceleration of an object moving in a circle of radius R at a constant speed v. a = Submit ||| ΑΣΦ ▼ Part B Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining The correct answer involves the variable R, which was not part of your answer. Consider the apparatus to the left (Figure 1), shown in side view: a mass M hangs vertically by a string at rest from a bracket. The mass M is held in place (at a distance R from the vertical arm of the by a stretched spring pulling to the right and a balancing Tension to the left that is created by hanging a weight of mass m over a pulley as shown. Details of this apparatus are described in a warm- up video on Blackboard. In this static equilibrium, the Tension is just mg. Newton's 2nd Law in each direction for the free body diagram is Fspring - mg = 0 and Fstring - Mg = 0. If the static hanging mass mis removed, the mass M will be pulled toward the spring until a new equilibrium is found (Figure 2), and the string will hang at an angle appropriate to that equilibrium. Now suppose that the entire apparatus is set in rotation such that M moves back and again hangs vertically (Figure 3). Assume that the time for one rotation is T. Express the value of Min terms of T, R, m, and any other constants required.

This warm-up question refers to an experimental rotational device that you will see in operation in studio. The warm-up hints on Blackboard show a detailed video of its operation. We strongly recommend that you watch the video before solving this warm-up question - the diagrams we show below, as well as the steps toward the solution, will make more sense after watching the video. Use your knowledge of uniform circular motion and Newton's 2nd Law in combination to answer the questions. Figure Tension Im string MHU spring bracket supporting M mg string 1 of 3 Fspring Mg free body diagram ▼ Part A Express the magnitude of the acceleration of an object moving in a circle of radius R at a constant speed v. a = Submit ||| ΑΣΦ ▼ Part B Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining The correct answer involves the variable R, which was not part of your answer. Consider the apparatus to the left (Figure 1), shown in side view: a mass M hangs vertically by a string at rest from a bracket. The mass M is held in place (at a distance R from the vertical arm of the by a stretched spring pulling to the right and a balancing Tension to the left that is created by hanging a weight of mass m over a pulley as shown. Details of this apparatus are described in a warm- up video on Blackboard. In this static equilibrium, the Tension is just mg. Newton's 2nd Law in each direction for the free body diagram is Fspring - mg = 0 and Fstring - Mg = 0. If the static hanging mass mis removed, the mass M will be pulled toward the spring until a new equilibrium is found (Figure 2), and the string will hang at an angle appropriate to that equilibrium. Now suppose that the entire apparatus is set in rotation such that M moves back and again hangs vertically (Figure 3). Assume that the time for one rotation is T. Express the value of Min terms of T, R, m, and any other constants required.

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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This warm-up question refers to an experimental rotational device that you will see in operation in studio. The warm-up hints on Blackboard show a detailed video of its operation. We strongly recommend that you watch the video before solving this warm-up question - the diagrams we show below, as well as the steps toward the solution, will make more sense after watching the video. Use your knowledge of uniform circular motion and Newton's 2nd Law in combination to answer the questions. Figure Tension, m string Muu w spring mg F string 1 of 3 > Foring Mg bracket supporting M free body diagram ▼ Part A Express the magnitude of the acceleration of an object moving in a circle of radius R at a constant speed v. a = Submit IVE ΑΣΦ Part B B ? Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining The correct answer involves the variable R, which was not part of your answer. Consider the apparatus to the left (Figure 1), shown in side view: a mass M hangs vertically by a string at rest from a bracket. The mass M is held in place (at a distance R from the vertical arm of the bracket) by a stretched spring pulling to the right and a balancing Tension to the left that is created by hanging a weight of mass m over a pulley as shown. Details of this apparatus are described in a warm- up video on Blackboard. In this static equilibrium, the Tension is just mg. Newton's 2nd Law in each direction for the free body diagram is Fspring - mg = 0 and Fstring - Mg = 0. If the static hanging mass mis removed, the mass M will be pulled toward the spring until a new equilibrium is found (Figure 2), and the string will hang at an angle appropriate to that equilibrium. Now suppose that the entire apparatus is set in rotation such that M moves back and again hangs vertically (Figure 3). Assume that the time for one rotation is T. Express the value of Min terms of T, R, m, and any other constants required. P Pearson Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact Us |
Transcribed Image Text:This warm-up question refers to an experimental rotational device that you will see in operation in studio. The warm-up hints on Blackboard show a detailed video of its operation. We strongly recommend that you watch the video before solving this warm-up question - the diagrams we show below, as well as the steps toward the solution, will make more sense after watching the video. Use your knowledge of uniform circular motion and Newton's 2nd Law in combination to answer the questions. Figure Tension, m string Muu w spring mg F string 1 of 3 > Foring Mg bracket supporting M free body diagram ▼ Part A Express the magnitude of the acceleration of an object moving in a circle of radius R at a constant speed v. a = Submit IVE ΑΣΦ Part B B ? Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining The correct answer involves the variable R, which was not part of your answer. Consider the apparatus to the left (Figure 1), shown in side view: a mass M hangs vertically by a string at rest from a bracket. The mass M is held in place (at a distance R from the vertical arm of the bracket) by a stretched spring pulling to the right and a balancing Tension to the left that is created by hanging a weight of mass m over a pulley as shown. Details of this apparatus are described in a warm- up video on Blackboard. In this static equilibrium, the Tension is just mg. Newton's 2nd Law in each direction for the free body diagram is Fspring - mg = 0 and Fstring - Mg = 0. If the static hanging mass mis removed, the mass M will be pulled toward the spring until a new equilibrium is found (Figure 2), and the string will hang at an angle appropriate to that equilibrium. Now suppose that the entire apparatus is set in rotation such that M moves back and again hangs vertically (Figure 3). Assume that the time for one rotation is T. Express the value of Min terms of T, R, m, and any other constants required. P Pearson Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions Contact Us |
7 Part B Consider the apparatus to the left (Figure 1), shown in side view: a mass M hangs vertically by a string at rest from a bracket. The mass M is held in place (at a distance R from the vertical arm of the bracket) by a stretched spring pulling to the right and a balancing Tension to the left that is created by hanging a weight of mass m over a pulley as shown. Details of this apparatus are described in a warm- up video on Blackboard. In this static equilibrium, the Tension is just mg. Newton's 2nd Law in each direction for the free body diagram is Fspring - mg = 0 and Fstring - Mg = 0. If the static hanging mass m is removed, the mass M will be pulled toward the spring until a new equilibrium is found (Figure 2), and the string will hang at an angle appropriate to that equilibrium. Now suppose that the entire apparatus is set in rotation such that M moves back and again hangs vertically (Figure 3). Assume that the time for one rotation is T. Express the value of Min terms of T, R, m, and any other constants required. M = Submit 8 15 ΑΣΦ Provide Feedback Request Answer P Pearson All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | This ? + 11 Next > dele
Transcribed Image Text:7 Part B Consider the apparatus to the left (Figure 1), shown in side view: a mass M hangs vertically by a string at rest from a bracket. The mass M is held in place (at a distance R from the vertical arm of the bracket) by a stretched spring pulling to the right and a balancing Tension to the left that is created by hanging a weight of mass m over a pulley as shown. Details of this apparatus are described in a warm- up video on Blackboard. In this static equilibrium, the Tension is just mg. Newton's 2nd Law in each direction for the free body diagram is Fspring - mg = 0 and Fstring - Mg = 0. If the static hanging mass m is removed, the mass M will be pulled toward the spring until a new equilibrium is found (Figure 2), and the string will hang at an angle appropriate to that equilibrium. Now suppose that the entire apparatus is set in rotation such that M moves back and again hangs vertically (Figure 3). Assume that the time for one rotation is T. Express the value of Min terms of T, R, m, and any other constants required. M = Submit 8 15 ΑΣΦ Provide Feedback Request Answer P Pearson All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | This ? + 11 Next > dele
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