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1. Wooden blocks with masses m1 = 4.16 kg and m2 = 8.77 kg are connected by a string that passes without friction over a pulley as in the Figure. The block m1 is held at rest on the floor and m2 rests on a fixed incline of θ = 330. The blocks are released from rest, and m2 slides 1.18 m down the incline in 7.53 s. Determine a) the acceleration of each object, b) the tension in the string, and c) the coefficient of kinetic friction between m2 and the incline.

1. Wooden blocks with masses m1 = 4.16 kg and m2 = 8.77 kg are connected by a string that passes without friction over a pulley as in the Figure. The block m1 is held at rest on the floor and m2 rests on a fixed incline of θ = 330. The blocks are released from rest, and m2 slides 1.18 m down the incline in 7.53 s. Determine a) the acceleration of each object, b) the tension in the string, and c) the coefficient of kinetic friction between m2 and the incline.

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
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1. Wooden blocks with masses m1 = 4.16 kg and m2 = 8.77 kg are connected by a string that passes without friction over a pulley as in the Figure. The block m1 is held at rest on the floor and m2 rests on a fixed incline of θ = 330. The blocks are released from rest, and m2 slides 1.18 m down the incline in 7.53 s. Determine a) the acceleration of each object, b) the tension in the string, and c) the coefficient of kinetic friction between m2 and the incline.
The image depicts a classic physics problem involving a system of two masses connected by a pulley. This type of setup is often used to demonstrate principles of mechanics, such as forces, tension, and friction. ### Description of the Diagram: - **Inclined Plane**: There is a right-angled triangle representing an inclined plane. The angle of inclination is denoted by \( \theta \). - **Masses**: - \( m_1 \) is a mass hanging vertically, attached by a rope to the pulley. - \( m_2 \) is a mass placed on the inclined plane. - **Pulley System**: - At the top of the inclined plane, there is a pulley. The rope passes over this pulley. - The rope is assumed to be massless and frictionless with the purpose of transmitting force between \( m_1 \) and \( m_2 \). ### Physics Concepts Illustrated: - **Gravitational Force**: Each mass experiences a gravitational force acting downwards. - **Normal Force**: \( m_2 \) experiences a normal force perpendicular to the surface of the inclined plane. - **Tension**: The rope applies a tension force, which affects both \( m_1 \) and \( m_2 \). - **Friction**: If considered, \( m_2 \) might experience frictional force opposing its motion along the inclined plane. - **Net Force and Acceleration**: The setup is used to determine the net forces acting on \( m_1 \) and \( m_2 \) and their resulting accelerations. This setup is used in educational contexts to solve for unknown variables such as acceleration, tension, or to determine the conditions for static equilibrium.
Transcribed Image Text:The image depicts a classic physics problem involving a system of two masses connected by a pulley. This type of setup is often used to demonstrate principles of mechanics, such as forces, tension, and friction. ### Description of the Diagram: - **Inclined Plane**: There is a right-angled triangle representing an inclined plane. The angle of inclination is denoted by \( \theta \). - **Masses**: - \( m_1 \) is a mass hanging vertically, attached by a rope to the pulley. - \( m_2 \) is a mass placed on the inclined plane. - **Pulley System**: - At the top of the inclined plane, there is a pulley. The rope passes over this pulley. - The rope is assumed to be massless and frictionless with the purpose of transmitting force between \( m_1 \) and \( m_2 \). ### Physics Concepts Illustrated: - **Gravitational Force**: Each mass experiences a gravitational force acting downwards. - **Normal Force**: \( m_2 \) experiences a normal force perpendicular to the surface of the inclined plane. - **Tension**: The rope applies a tension force, which affects both \( m_1 \) and \( m_2 \). - **Friction**: If considered, \( m_2 \) might experience frictional force opposing its motion along the inclined plane. - **Net Force and Acceleration**: The setup is used to determine the net forces acting on \( m_1 \) and \( m_2 \) and their resulting accelerations. This setup is used in educational contexts to solve for unknown variables such as acceleration, tension, or to determine the conditions for static equilibrium.
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