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A student is swinging a ball of mass 0.323 kg in a vertical circle at constant speed, as shown in the figure below. (g indicates the direction of the acceleration due to gravity: directly downward.) The length of the string is 0.76 m. She measures the tension and finds that it is 5.601 times larger at the bottom of the circle than at the top. What is the speed of the swinging mass?

A student is swinging a ball of mass 0.323 kg in a vertical circle at constant speed, as shown in the figure below. (g indicates the direction of the acceleration due to gravity: directly downward.) The length of the string is 0.76 m. She measures the tension and finds that it is 5.601 times larger at the bottom of the circle than at the top. What is the speed of the swinging mass?

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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A student is swinging a ball of mass 0.323 kg in a vertical circle at constant speed, as shown in the figure below. (g indicates the direction of the acceleration due to gravity: directly downward.) The length of the string is 0.76 m. She measures the tension and finds that it is 5.601 times larger at the bottom of the circle than at the top.

What is the speed of the swinging mass?

**Understanding Pendulum Motion** This diagram illustrates the motion of a simple pendulum, which consists of a mass (often called a bob) attached to a string of a fixed length, suspended from a pivot point. **Components of the Diagram:** 1. **Pivot Point:** - Represented by a circle at the top of the diagram. This is where the pendulum is fixed and allowed to swing freely. 2. **Pendulum Path (Dashed Circle):** - The dashed circle indicates the path traced by the bob as it swings back and forth in an arc. This path is circular due to the pendulum's attachment point being fixed. 3. **Bob (X):** - Represented by an "X" at the bottom of the string, the bob is the mass that swings due to gravity. 4. **String (Line):** - The line connects the pivot point to the bob, representing the string or rod that holds the mass. 5. **Tension (T):** - The "T" along the string illustrates the tension force in the string. This force acts along the direction of the string and towards the pivot. 6. **Arrow of Motion:** - The curved arrow near the top of the path shows the direction of the pendulum's swing. 7. **Gravitational Force (g):** - Represented by a vertical arrow labeled "g" on the left, indicating the force of gravity acting downward on the bob. This simple pendulum diagram helps visualize how gravitational force and tension interact to create the swinging motion, an essential concept in physics for understanding periodic motion and harmonic oscillators.
Transcribed Image Text:**Understanding Pendulum Motion** This diagram illustrates the motion of a simple pendulum, which consists of a mass (often called a bob) attached to a string of a fixed length, suspended from a pivot point. **Components of the Diagram:** 1. **Pivot Point:** - Represented by a circle at the top of the diagram. This is where the pendulum is fixed and allowed to swing freely. 2. **Pendulum Path (Dashed Circle):** - The dashed circle indicates the path traced by the bob as it swings back and forth in an arc. This path is circular due to the pendulum's attachment point being fixed. 3. **Bob (X):** - Represented by an "X" at the bottom of the string, the bob is the mass that swings due to gravity. 4. **String (Line):** - The line connects the pivot point to the bob, representing the string or rod that holds the mass. 5. **Tension (T):** - The "T" along the string illustrates the tension force in the string. This force acts along the direction of the string and towards the pivot. 6. **Arrow of Motion:** - The curved arrow near the top of the path shows the direction of the pendulum's swing. 7. **Gravitational Force (g):** - Represented by a vertical arrow labeled "g" on the left, indicating the force of gravity acting downward on the bob. This simple pendulum diagram helps visualize how gravitational force and tension interact to create the swinging motion, an essential concept in physics for understanding periodic motion and harmonic oscillators.
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