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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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**Part B** Blocks \( A \) and \( B \) have masses of 170 kg and 290 kg, respectively. (See Figure 2) The coefficient of static friction between \( A \) and \( B \), and between \( B \) and \( C \) is 0.230. The coefficient of static friction between the rope and peg \( E \) is 0.460. Pulley \( D \) rotates freely, and \( P = 30.0 \, \text{N} \). If \( \theta = 30.0 \) degrees, what is the smallest magnitude, \( T \), of tension, \( T \), that causes block \( B \) to move? **Express your answer numerically in kilonewtons to three significant figures.** \[ T = \, \underline{\hspace{6cm}} \, \text{kN} \] **View Available Hint(s)** [Buttons for vector and equation input]
Transcribed Image Text:**Part B** Blocks \( A \) and \( B \) have masses of 170 kg and 290 kg, respectively. (See Figure 2) The coefficient of static friction between \( A \) and \( B \), and between \( B \) and \( C \) is 0.230. The coefficient of static friction between the rope and peg \( E \) is 0.460. Pulley \( D \) rotates freely, and \( P = 30.0 \, \text{N} \). If \( \theta = 30.0 \) degrees, what is the smallest magnitude, \( T \), of tension, \( T \), that causes block \( B \) to move? **Express your answer numerically in kilonewtons to three significant figures.** \[ T = \, \underline{\hspace{6cm}} \, \text{kN} \] **View Available Hint(s)** [Buttons for vector and equation input]
**Figure Description:** The diagram illustrates a physics problem involving pulleys and inclined planes. The setup includes the following elements: 1. **Block A** is placed on top of block B. Both blocks are situated on a horizontal surface labeled C. 2. A rope is attached to block A, runs over a pulley at point D, and connects to a weight labeled P. This arrangement is designed to apply a force on block A in the horizontal direction. 3. Block B has a rope attached that runs over another pulley at point E, positioned at an angle θ from the horizontal plane. This rope connects to a weight labeled T, allowing force to be applied at the angle θ. 4. The angle θ is specifically noted between the horizontal surface and the rope running over pulley E to weight T, indicating that the tension in this rope will have components both parallel and perpendicular to block C. **Explanation:** - **Pulley D**: Changes the direction of the force applied by weight P, exerting a horizontal force on block A. - **Pulley E**: Alters the direction of the tension in the rope connected to weight T, applying force at an angle θ relative to block B and the surface C. This setup helps analyze forces and motion involving tensions, friction, and inclined angles, providing an insightful exercise in classical mechanics.
Transcribed Image Text:**Figure Description:** The diagram illustrates a physics problem involving pulleys and inclined planes. The setup includes the following elements: 1. **Block A** is placed on top of block B. Both blocks are situated on a horizontal surface labeled C. 2. A rope is attached to block A, runs over a pulley at point D, and connects to a weight labeled P. This arrangement is designed to apply a force on block A in the horizontal direction. 3. Block B has a rope attached that runs over another pulley at point E, positioned at an angle θ from the horizontal plane. This rope connects to a weight labeled T, allowing force to be applied at the angle θ. 4. The angle θ is specifically noted between the horizontal surface and the rope running over pulley E to weight T, indicating that the tension in this rope will have components both parallel and perpendicular to block C. **Explanation:** - **Pulley D**: Changes the direction of the force applied by weight P, exerting a horizontal force on block A. - **Pulley E**: Alters the direction of the tension in the rope connected to weight T, applying force at an angle θ relative to block B and the surface C. This setup helps analyze forces and motion involving tensions, friction, and inclined angles, providing an insightful exercise in classical mechanics.
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