In the figure, a 1.20 kg ball is connected by means of two massless strings, each of length L = 1.82 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.82 m and are taut. The tension in the upper string is 42.0 N. What are (a) the tension in the lower string, (b) the magnitude of the net force F→net on the ball, and (c) the speed of the ball?
In the figure, a 1.20 kg ball is connected by means of two massless strings, each of length L = 1.82 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.82 m and are taut. The tension in the upper string is 42.0 N. What are (a) the tension in the lower string, (b) the magnitude of the net force F→net on the ball, and (c) the speed of the ball?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
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The tension created on one body during push or pull is known as force.
Question
In the figure, a 1.20 kg ball is connected by means of two massless strings, each of length L = 1.82 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.82 m and are taut. The tension in the upper string is 42.0 N. What are (a) the tension in the lower string, (b) the magnitude of the net force F→net on the ball, and (c) the speed of the ball?
Transcribed Image Text:### Description of Figure: Rotating System with Pendulum
This figure illustrates a mechanical setup involving a rotating rod and a pendulum-like system. It depicts the following components:
1. **Rotating Rod**:
- The rod is depicted in a vertical position.
- It rotates about its own axis, as indicated by the pink arrow encircling the rod.
2. **Pendulum System**:
- Attached to the rotating rod are two identical strings or cables, each of length \( L \).
- Both strings extend from a common point on the rod and are attached to a single mass at the other ends, forming a V-shape.
- The mass, colored in pink, appears to be a spherical object or bob.
3. **Distance Measurement**:
- The vertical distance denoted by \( d \) is marked along the length of the rod.
- This measurement \( d \) indicates the separation between the points where the strings are attached to the rod.
### Explanation
This figure can be used to study rotational dynamics and the behavior of a pendulum attached to a rotating rod. Key points of interest include:
- **Rotational Kinetics**: Analyzing how the rotating rod affects the tension in the strings and the motion of the pendulum bob.
- **Centripetal Forces**: Understanding the forces acting on the bob due to the rotation of the rod.
- **Angular Momentum**: Evaluating how the system conserves angular momentum and the resulting implications for the movement of the bob.
By studying this setup, students can gain insights into fundamental concepts of rotational motion, tension in strings, and forces in a pendulum system.
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