Two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. The block in (Figure 1) has a mass m= 10 kg and is being pulled by a force F on a table with coefficient of static friction He=0.3. Four forces act on it . The applied force F (directed 0 = 30° above the horizontal). - • The force of gravity F, = mg (directly down, where g = 9.8 m/s²). - . The normal force N (directly up). . The force of static friction f. (directly left, opposing any potential motion). If we want to find the size of the force necessary to just barely overcome static friction (in which case f= N), we use the condition that the sum of the forces in both directions must be 0. Using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as: . . F cos 0-u, N=0 Fsin 0+N-mg = 0 In order to find the magnitude of force F, we have to solve a system of two equations with both F and the normal force N unknown. Use the methods we have learned to find an expression for F in terms of m, g. 9, and μ, (no N). Express your answer in terms of m, g, 0, and μg.

Two dimensional dynamics often involves solving for two unknown quantities in two separate equations describing the total force. The block in (Figure 1) has a mass m= 10 kg and is being pulled by a force F on a table with coefficient of static friction He=0.3. Four forces act on it . The applied force F (directed 0 = 30° above the horizontal). - • The force of gravity F, = mg (directly down, where g = 9.8 m/s²). - . The normal force N (directly up). . The force of static friction f. (directly left, opposing any potential motion). If we want to find the size of the force necessary to just barely overcome static friction (in which case f= N), we use the condition that the sum of the forces in both directions must be 0. Using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as: . . F cos 0-u, N=0 Fsin 0+N-mg = 0 In order to find the magnitude of force F, we have to solve a system of two equations with both F and the normal force N unknown. Use the methods we have learned to find an expression for F in terms of m, g. 9, and μ, (no N). Express your answer in terms of m, g, 0, and μg.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter5: Newton's Law Of Motion

Section: Chapter Questions

Problem 105CP: Hanging from the ceiling over a baby bed, well out of baby’s reach, is a string with plastic shapes,...

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