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Problem #1: Two masses, m₁ = 30.0 kg and m₂, = 10.0 kg are connected by a massless, ideal rope. When held in place, m₂ rests on a frictionless ramp of incline 0 = 30.0°, and m, hangs with rope over a pulley like in the image to the right. (a) If the masses are let go and allowed to move, what will be the magnitude of acceleration and direction for each? Label the axes/direction in the diagram or state clearly how you set them up in your response. (b) Consider if friction were present: what coefficient of static friction would be necessary to hold the masses in place, at rest? m₁

Problem #1: Two masses, m₁ = 30.0 kg and m₂, = 10.0 kg are connected by a massless, ideal rope. When held in place, m₂ rests on a frictionless ramp of incline 0 = 30.0°, and m, hangs with rope over a pulley like in the image to the right. (a) If the masses are let go and allowed to move, what will be the magnitude of acceleration and direction for each? Label the axes/direction in the diagram or state clearly how you set them up in your response. (b) Consider if friction were present: what coefficient of static friction would be necessary to hold the masses in place, at rest? m₁

College Physics
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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Title: Inclined Plane and Pulley System Problem **Problem #1:** Two masses, \( m_1 = 30.0 \, \text{kg} \) and \( m_2 = 10.0 \, \text{kg} \), are connected by a massless, ideal rope. When held in place, \( m_2 \) rests on a frictionless ramp with an incline angle \( \theta = 30.0^\circ \), and \( m_1 \) hangs with the rope over a pulley as shown in the diagram. **Diagram Explanation:** - The diagram shows two masses connected by a rope over a pulley. - Mass \( m_1 \) is hanging vertically. - Mass \( m_2 \) rests on an inclined plane at an angle \( \theta \), which is \( 30.0^\circ \). **Questions:** (a) If the masses are let go and allowed to move, what will be the magnitude of acceleration and direction for each? Label the axes/direction in the diagram or state clearly how you set them up in your response. (b) Consider if friction were present: what coefficient of static friction would be necessary to hold the masses in place, at rest?
Transcribed Image Text:Title: Inclined Plane and Pulley System Problem **Problem #1:** Two masses, \( m_1 = 30.0 \, \text{kg} \) and \( m_2 = 10.0 \, \text{kg} \), are connected by a massless, ideal rope. When held in place, \( m_2 \) rests on a frictionless ramp with an incline angle \( \theta = 30.0^\circ \), and \( m_1 \) hangs with the rope over a pulley as shown in the diagram. **Diagram Explanation:** - The diagram shows two masses connected by a rope over a pulley. - Mass \( m_1 \) is hanging vertically. - Mass \( m_2 \) rests on an inclined plane at an angle \( \theta \), which is \( 30.0^\circ \). **Questions:** (a) If the masses are let go and allowed to move, what will be the magnitude of acceleration and direction for each? Label the axes/direction in the diagram or state clearly how you set them up in your response. (b) Consider if friction were present: what coefficient of static friction would be necessary to hold the masses in place, at rest?
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The masses are backwards on the 2 blocks, so the 30kg block is m2 the block on the ramp. 

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