9. A mass m, = 9.50 kg is connected by a light string that passes over a pulley of mass M = 11.5 kg to a mass m, = 10.5 kg sliding on a horizontal surface (see figure). The coefficient of kinetic friction between the mass m2 and the surface is 0.25. There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m,? (The moment of inertia of the pulley is ½Mr2.) 50 ssf60 ssfos m2 M sf60 ssf60 ssf60 ssf60 ssf60 ssf6% r60 ssf60 ssf60 6060 sf60 ssto m1 ssf60 ssf60 ss sf60 ssK60 ssf60 O ssf60sf60 ss60 ssf60 ssfo ssf60 ssf60 ssfó0 ssf60 ssf60 s sf60 ssf60 ssf6

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Problem 9: Physics of Pulley Systems**

A mass \( m_1 = 9.50 \, \text{kg} \) is connected by a light string that passes over a pulley with a mass \( M = 11.5 \, \text{kg} \) to another mass \( m_2 = 10.5 \, \text{kg} \) sliding on a horizontal surface. The scenario includes a coefficient of kinetic friction between mass \( m_2 \) and the surface equal to 0.25. No slipping occurs between the string and the pulley.

**Objective:** Determine the magnitude of the tension acting on mass \( m_1 \).

**Additional Information:** 
- The moment of inertia of the pulley is given as \(\frac{1}{2} M r^2\).

**Diagram Explanation:**
- The diagram displays a pulley system with:
  - Mass \( m_2 \) on a horizontal surface.
  - Mass \( m_1 \) hanging vertically, connected to \( m_2 \) by a string over a pulley labeled \( M \).
  
**Calculate the tension \( T \) in the string acting on \( m_1 \):**

\[ \text{Tension} = \text{______ N} \]

Use this information for solving related physics problems involving pulleys, forces, and rotational motion.
Transcribed Image Text:**Problem 9: Physics of Pulley Systems** A mass \( m_1 = 9.50 \, \text{kg} \) is connected by a light string that passes over a pulley with a mass \( M = 11.5 \, \text{kg} \) to another mass \( m_2 = 10.5 \, \text{kg} \) sliding on a horizontal surface. The scenario includes a coefficient of kinetic friction between mass \( m_2 \) and the surface equal to 0.25. No slipping occurs between the string and the pulley. **Objective:** Determine the magnitude of the tension acting on mass \( m_1 \). **Additional Information:** - The moment of inertia of the pulley is given as \(\frac{1}{2} M r^2\). **Diagram Explanation:** - The diagram displays a pulley system with: - Mass \( m_2 \) on a horizontal surface. - Mass \( m_1 \) hanging vertically, connected to \( m_2 \) by a string over a pulley labeled \( M \). **Calculate the tension \( T \) in the string acting on \( m_1 \):** \[ \text{Tension} = \text{______ N} \] Use this information for solving related physics problems involving pulleys, forces, and rotational motion.
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