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Under the action of force P, the constant acceleration of block B is 6.2 ft/sec² up the incline. For the instant when the velocity of B is 3.1 ft/sec up the incline, determine the velocity of B relative to A (positive if up the slope, negative if down), the acceleration of B relative to A (positive if up the slope, negative if down), and the absolute velocity of point C (positive if up the slope, negative if down) of the cable.

Under the action of force P, the constant acceleration of block B is 6.2 ft/sec² up the incline. For the instant when the velocity of B is 3.1 ft/sec up the incline, determine the velocity of B relative to A (positive if up the slope, negative if down), the acceleration of B relative to A (positive if up the slope, negative if down), and the absolute velocity of point C (positive if up the slope, negative if down) of the cable.

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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**Problem Statement:** Under the action of force \( P \), the constant acceleration of block \( B \) is \( 6.2 \, \text{ft/sec}^2 \) up the incline. For the instant when the velocity of \( B \) is \( 3.1 \, \text{ft/sec} \) up the incline, determine the velocity of \( B \) relative to \( A \) (positive if up the slope, negative if down), the acceleration of \( B \) relative to \( A \) (positive if up the slope, negative if down), and the absolute velocity of point \( C \) (positive if up the slope, negative if down) of the cable. **Diagram Explanation:** The provided image shows a setup with two blocks, \( A \) and \( B \), connected by a cable. Block \( B \) is experiencing a force \( P \) causing it to move up an incline with an angle of \( 25^\circ \). The cable passes over a pulley at point \( C \). **Answers:** 1. **Velocity of \( B \) relative to \( A \) (\( v_{B/A} \)):** \( v_{B/A} = \, \, \, \text{ft/sec} \) 2. **Acceleration of \( B \) relative to \( A \) (\( a_{B/A} \)):** \( a_{B/A} = \, \, \, \text{ft/sec}^2 \) 3. **Absolute velocity of point \( C \) (\( v_C \)):** \( v_C = \, \, \, \text{ft/sec} \) **Note:** To solve for these values, one would typically apply principles of relative motion and dynamics, taking into account the incline's angle and kinematic relationships between the blocks and the pulley system.
Transcribed Image Text:**Problem Statement:** Under the action of force \( P \), the constant acceleration of block \( B \) is \( 6.2 \, \text{ft/sec}^2 \) up the incline. For the instant when the velocity of \( B \) is \( 3.1 \, \text{ft/sec} \) up the incline, determine the velocity of \( B \) relative to \( A \) (positive if up the slope, negative if down), the acceleration of \( B \) relative to \( A \) (positive if up the slope, negative if down), and the absolute velocity of point \( C \) (positive if up the slope, negative if down) of the cable. **Diagram Explanation:** The provided image shows a setup with two blocks, \( A \) and \( B \), connected by a cable. Block \( B \) is experiencing a force \( P \) causing it to move up an incline with an angle of \( 25^\circ \). The cable passes over a pulley at point \( C \). **Answers:** 1. **Velocity of \( B \) relative to \( A \) (\( v_{B/A} \)):** \( v_{B/A} = \, \, \, \text{ft/sec} \) 2. **Acceleration of \( B \) relative to \( A \) (\( a_{B/A} \)):** \( a_{B/A} = \, \, \, \text{ft/sec}^2 \) 3. **Absolute velocity of point \( C \) (\( v_C \)):** \( v_C = \, \, \, \text{ft/sec} \) **Note:** To solve for these values, one would typically apply principles of relative motion and dynamics, taking into account the incline's angle and kinematic relationships between the blocks and the pulley system.
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