### Circular Motion and Centripetal Force**Concept:**A ball attached to a string is being swung counterclockwise in a circle parallel to the ground.**Diagram Explanation:**- The diagram shows a ball (represented by a red circle) attached to a string, swinging in a circular path.- The circle is annotated with four points: A, B, C, and D, positioned equidistantly around the perimeter.- A black line represents the string, with the ball at the end of it, illustrating the circular motion.- Point A is at the top of the circle, B on the left side, C at the bottom, and D on the right side.- There's also a green arrow labeled \(\vec{v}\), indicating the direction of the ball's velocity vector, which is tangent to the circular path at any given point.**Questions:**1. **What is the direction of acceleration of the ball at point C?** The direction of the acceleration of the ball at point C is towards the center of the circle. This type of acceleration is known as centripetal acceleration, which always points towards the center of the circular path.2. **If the string was cut just as the ball passed through point D, in what direction would the ball travel?** If the string is cut just as the ball passes point D, the ball will travel in a straight line tangent to the circle at the point where the string was cut. At point D, this means the ball will move in a direction perpendicular to the radius at point D, following the direction of the green velocity vector \(\vec{v}\), which is tangent to the circle at point D and directed counterclockwise.Understanding these principles helps to grasp the fundamentals of circular motion and the effect of centripetal force in maintaining the object in a curved trajectory.

In the uniform circular motion, direction of acceleration is radially inwards. In the uniform…

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A ball attached to a string is being swung counterclockwise in a circle parallel to the ground. A В OD

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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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

### Circular Motion and Centripetal Force

**Concept:**
A ball attached to a string is being swung counterclockwise in a circle parallel to the ground.

**Diagram Explanation:**
- The diagram shows a ball (represented by a red circle) attached to a string, swinging in a circular path.
- The circle is annotated with four points: A, B, C, and D, positioned equidistantly around the perimeter.
- A black line represents the string, with the ball at the end of it, illustrating the circular motion.
- Point A is at the top of the circle, B on the left side, C at the bottom, and D on the right side.
- There's also a green arrow labeled \(\vec{v}\), indicating the direction of the ball's velocity vector, which is tangent to the circular path at any given point.

**Questions:**

1. **What is the direction of acceleration of the ball at point C?**

The direction of the acceleration of the ball at point C is towards the center of the circle. This type of acceleration is known as centripetal acceleration, which always points towards the center of the circular path.

2. **If the string was cut just as the ball passed through point D, in what direction would the ball travel?**

If the string is cut just as the ball passes point D, the ball will travel in a straight line tangent to the circle at the point where the string was cut. At point D, this means the ball will move in a direction perpendicular to the radius at point D, following the direction of the green velocity vector \(\vec{v}\), which is tangent to the circle at point D and directed counterclockwise.

Understanding these principles helps to grasp the fundamentals of circular motion and the effect of centripetal force in maintaining the object in a curved trajectory.

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