**Problem 10** A mass \( m_1 = 6.00 \, \text{kg} \) is connected by a light string that passes over a pulley of mass \( m_3 = 7.5 \, \text{kg} \) to a mass \( m_2 = 8.50 \, \text{kg} \) sliding on a frictionless inclined surface that makes an angle of \( 29^\circ \) with the horizontal (see figure). The coefficient of kinetic friction between the mass \( m_1 \) and the horizontal surface is 0.15. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia of the pulley is \( \frac{1}{2} M r^2 \).)\[ \text{Answer:} \, \boxed{} \, \text{m/s}^2 \]**Diagram Explanation** The diagram shows:- Mass \( m_1 \) on a horizontal surface connected to a light string.- Mass \( m_3 \) is the pulley through which the string passes.- Mass \( m_2 \) on an inclined plane making an angle (\(\theta\)) of \( 29^\circ \) with the horizontal.- The inclined plane is frictionless, and the surface where \( m_1 \) rests has a coefficient of kinetic friction of 0.15. - The string is taut, and there's no slippage on the pulley.

Answered: Image /qna-images/answer/45391bb0-a32b-4201-a9d4-b80e1852c900.jpg

10. A mass m¡ = 6.00 kg is connected by a light string that passes over a pulley of mass m3 = 7.5 kg to a mass mɔ = 8.50 kg sliding on a frictionless inclined surface that makes an angle of 29° with the horizontal (see figure). The coefficient of kinetic friction between the mass m¡ and the horizontal surface is 0.15. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia o the pulley is ½Mr².) m/s? m, m3 m2

10. A mass m¡ = 6.00 kg is connected by a light string that passes over a pulley of mass m3 = 7.5 kg to a mass mɔ = 8.50 kg sliding on a frictionless inclined surface that makes an angle of 29° with the horizontal (see figure). The coefficient of kinetic friction between the mass m¡ and the horizontal surface is 0.15. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia o the pulley is ½Mr².) m/s? m, m3 m2

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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Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

**Problem 10**
A mass \( m_1 = 6.00 \, \text{kg} \) is connected by a light string that passes over a pulley of mass \( m_3 = 7.5 \, \text{kg} \) to a mass \( m_2 = 8.50 \, \text{kg} \) sliding on a frictionless inclined surface that makes an angle of \( 29^\circ \) with the horizontal (see figure). The coefficient of kinetic friction between the mass \( m_1 \) and the horizontal surface is 0.15. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia of the pulley is \( \frac{1}{2} M r^2 \).)

\[ \text{Answer:} \, \boxed{} \, \text{m/s}^2 \]

**Diagram Explanation**
The diagram shows:

- Mass \( m_1 \) on a horizontal surface connected to a light string.
- Mass \( m_3 \) is the pulley through which the string passes.
- Mass \( m_2 \) on an inclined plane making an angle (\(\theta\)) of \( 29^\circ \) with the horizontal.
- The inclined plane is frictionless, and the surface where \( m_1 \) rests has a coefficient of kinetic friction of 0.15.
- The string is taut, and there's no slippage on the pulley.

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