A small object with mass of 0.5kg is attached to the lower end of a long string and moves in a horizontal circle of radius 0.7 m with a constant speed of 3 m/s. What angle does the string make with the vertical?
A small object with mass of 0.5kg is attached to the lower end of a long string and moves in a horizontal circle of radius 0.7 m with a constant speed of 3 m/s. What angle does the string make with the vertical?
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 small object with mass of 0.5kg is attached to the lower end of a long string and moves in a horizontal circle of radius 0.7 m with a constant speed of 3 m/s. What angle does the string make with the vertical?
Transcribed Image Text:The image depicts a simple pendulum-like system with a mass attached to a string, demonstrating circular motion.
**Components:**
- **String Length (Radius, R):** 0.7 meters. This is the length from the pivot point to the mass.
- **Mass (m):** 0.5 kilograms. This represents the weight at the end of the string.
- **Velocity (V):** 3.0 meters per second. This is the speed at which the mass is moving in a circular path.
**Diagram Explanation:**
- A mass (represented by a black circle) is attached to a string, creating a pendulum that swings in a circular motion. The pivot point is indicated at the top of the image, where the string is attached.
- The pendulum swings at an angle (denoted by "?") from the vertical line, suggesting that this angle may need to be calculated or is of interest in a problem context.
- The circular path of the mass is shown as an ellipse, with the radius marked as 0.7 meters.
This diagram can be used to study the dynamics of circular motion, possibly examining forces involved, angular speed, centripetal acceleration, or other related concepts.
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