A m1 = 5.3 kg box is on a frictionless θ = 39∘ slope and is connected via a massless string over a massless, frictionless pulley to a hanging m2= 2.3 kg weight. What is the tension in the string once the box begins to move?
A m1 = 5.3 kg box is on a frictionless θ = 39∘ slope and is connected via a massless string over a massless, frictionless pulley to a hanging m2= 2.3 kg weight. What is the tension in the string once the box begins to move?
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
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A m1 = 5.3 kg box is on a frictionless θ = 39∘ slope and is connected via a massless string over a massless, frictionless pulley to a hanging m2= 2.3 kg weight.
What is the tension in the string once the box begins to move?
Transcribed Image Text:The image depicts a classic physics problem involving a pulley system. It includes two masses, \( m_1 \) and \( m_2 \), connected by a rope that passes over a pulley.
1. **Mass and Incline:**
- \( m_1 \) is positioned on an inclined plane, which makes an angle \( \theta \) with the horizontal.
- The inclined plane suggests the potential analysis of forces such as gravity, normal force, and friction acting on \( m_1 \).
2. **Pulley System:**
- The rope is fixed to \( m_1 \), extends over the pulley, and connects to \( m_2\), which hangs vertically.
- The pulley allows the conversion between gravitational potential energy to kinetic energy as \( m_2 \) falls and \( m_1 \) moves up the incline.
3. **Assumptions and Considerations:**
- The system assumes a frictionless pulley and rope for simplicity.
- The primary forces considered are gravitational forces acting on both masses, tension in the rope, and possible friction on the inclined plane if not specified otherwise.
This setup is frequently used to illustrate concepts of Newtonian mechanics, such as force resolution, tension in cables, acceleration, and the effects of gravitational forces on inclined planes.
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