A 7.7 kg mass is attached to a massless spring with spring constant k = 32.7 n/m . The system rests on a frictionless horizontal surface. If the spring is compressed by 8.6 cm, then released, what is the maximum velocity of the mass?
A 7.7 kg mass is attached to a massless spring with spring constant k = 32.7 n/m . The system rests on a frictionless horizontal surface. If the spring is compressed by 8.6 cm, then released, what is the maximum velocity of the mass?
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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A 7.7 kg mass is attached to a massless spring with spring constant k = 32.7 n/m . The system rests on a frictionless horizontal surface. If the spring is compressed by 8.6 cm, then released, what is the maximum velocity of the mass?
Transcribed Image Text:The diagram illustrates a mechanical system consisting of two masses, a spring, and a rotary sensor, set up on a surface.
- **Mass \( m_1 \)** is placed on a horizontal platform connected to a wall by a spring. The spring extends horizontally from the wall to the mass \( m_1 \), which is capable of sliding along the surface.
- **Mass \( m_2 \)** is suspended vertically and connected to mass \( m_1 \) via a pulley system.
- The horizontal displacement of mass \( m_1 \) is denoted as \( X \), indicating the distance the spring stretches or compresses as mass \( m_1 \) moves.
- A **rotary sensor** is situated where the rope changes direction over the pulley, enabling the measurement of angular displacement, which relates to the horizontal and vertical movement of the masses in the system.
- The vertical distance from the pulley to mass \( m_2 \) is denoted as \( H \).
This setup is typically used to study harmonic motion, forces in a spring-pulley system, and rotational kinematics using the rotary sensor to track motion dynamically.
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