A double incline is setup with two ramps as shown. The left block has a 3) mass m1, and the right block has a mass m2. The left ramp is rough with kinetic friction coefficient uy and an angle 0,. The ramp on the right is frictionless with an angle 02. The pulley is massless and frictionless. Assume the system starts accelerating to the right on initial release. a) in the Space below draw a set of free body diagrams (or a single one if taking that method which is fine) to fully describe all forces in this problem. b) Find an equation for the acceleration of the system.

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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**Problem Statement:**

If the values are \( m_1 = 2.00 \, \text{kg}, m_2 = 6.00 \, \text{kg}, \theta_1 = 30.0^\circ, \theta_2 = 20.0^\circ, \) and \( \mu = 0.210 \), what is the vector acceleration? Be sure to show your substitution into your equations.
Transcribed Image Text:**Problem Statement:** If the values are \( m_1 = 2.00 \, \text{kg}, m_2 = 6.00 \, \text{kg}, \theta_1 = 30.0^\circ, \theta_2 = 20.0^\circ, \) and \( \mu = 0.210 \), what is the vector acceleration? Be sure to show your substitution into your equations.
**Physics: Inclined Planes and Forces**

**Problem 3:**

A double incline is set up with two ramps as shown in the diagram. The left block has a mass \( m_1 \), and the right block has a mass \( m_2 \). The left ramp is rough with a kinetic friction coefficient \( \mu_k \) and an angle \( \theta_1 \). The ramp on the right is frictionless with an angle \( \theta_2 \). The pulley is massless and frictionless. Assume the system starts accelerating to the right on initial release.

**a) Task:**

- In the space provided, draw a set of free body diagrams (or a single one, if preferred) to fully describe all forces involved in this problem.

**b) Task:**

- Find an equation for the acceleration of the system.

**Diagram Explanation:**

The given diagram depicts a double incline with two blocks. The left ramp, which is rough, inclines at an angle \( \theta_1 \), whereas the right ramp is frictionless and inclines at angle \( \theta_2 \). A massless and frictionless pulley is placed at the top, connecting the two blocks with a string. The system is expected to accelerate towards the right upon release.

**Instructions:**

1. **Draw Free Body Diagrams:**
   - For the left block on the rough inclined plane, include gravitational force, normal force, frictional force, and tension.
   - For the right block on the frictionless incline, include gravitational force, normal force, and tension.

2. **Equation for Acceleration:**
   - Use Newton's second law to find an expression for the acceleration of the system involving the given angles, masses, friction coefficient, and gravitational force.
Transcribed Image Text:**Physics: Inclined Planes and Forces** **Problem 3:** A double incline is set up with two ramps as shown in the diagram. The left block has a mass \( m_1 \), and the right block has a mass \( m_2 \). The left ramp is rough with a kinetic friction coefficient \( \mu_k \) and an angle \( \theta_1 \). The ramp on the right is frictionless with an angle \( \theta_2 \). The pulley is massless and frictionless. Assume the system starts accelerating to the right on initial release. **a) Task:** - In the space provided, draw a set of free body diagrams (or a single one, if preferred) to fully describe all forces involved in this problem. **b) Task:** - Find an equation for the acceleration of the system. **Diagram Explanation:** The given diagram depicts a double incline with two blocks. The left ramp, which is rough, inclines at an angle \( \theta_1 \), whereas the right ramp is frictionless and inclines at angle \( \theta_2 \). A massless and frictionless pulley is placed at the top, connecting the two blocks with a string. The system is expected to accelerate towards the right upon release. **Instructions:** 1. **Draw Free Body Diagrams:** - For the left block on the rough inclined plane, include gravitational force, normal force, frictional force, and tension. - For the right block on the frictionless incline, include gravitational force, normal force, and tension. 2. **Equation for Acceleration:** - Use Newton's second law to find an expression for the acceleration of the system involving the given angles, masses, friction coefficient, and gravitational force.
Expert Solution
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Given that:-

Coefficient of kinetic friction of left ramp=0.21

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