Determine the initial acceleration (positive if to the right, negative if to the left) of the 13-kg block if (a) T = 17 N and (b) T = 20 N. The system is initially at rest with no slack in the cable, and the mass and friction of the pulleys are negligible. 13 kg 29° H₂= 0.43) Hk= 0.31) m/s² m/s² Answers: (a) (b) a = i a =

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....
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## Problem Statement

Determine the initial acceleration (positive if to the right, negative if to the left) of the 13-kg block if:
- (a) T = 17 N 
- (b) T = 20 N. 

The system is initially at rest with no slack in the cable, and the mass and friction of the pulleys are negligible.

### Diagram Explanation
The problem includes a diagram showing the following details:
- A 13 kg block situated on a horizontal surface.
- A cable is attached to the block, passing over a pulley system.
- The tension force \( T \) in the cable is applied at an angle of 29° above the horizontal.
- The coefficients of static and kinetic friction between the block and the surface are given as \(\mu_s = 0.43\) and \(\mu_k = 0.31\), respectively.

### Answer Fields
The students need to determine the acceleration and fill in the following fields:
- (a) \( a = \) _____  m/s²
- (b) \( a = \) _____  m/s²
Transcribed Image Text:## Problem Statement Determine the initial acceleration (positive if to the right, negative if to the left) of the 13-kg block if: - (a) T = 17 N - (b) T = 20 N. The system is initially at rest with no slack in the cable, and the mass and friction of the pulleys are negligible. ### Diagram Explanation The problem includes a diagram showing the following details: - A 13 kg block situated on a horizontal surface. - A cable is attached to the block, passing over a pulley system. - The tension force \( T \) in the cable is applied at an angle of 29° above the horizontal. - The coefficients of static and kinetic friction between the block and the surface are given as \(\mu_s = 0.43\) and \(\mu_k = 0.31\), respectively. ### Answer Fields The students need to determine the acceleration and fill in the following fields: - (a) \( a = \) _____ m/s² - (b) \( a = \) _____ m/s²
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