In the figure here, a solid brass ball of mass 0.165 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.18 m, and the ball has radius r<< R. (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? (b) If the ball is released at height h = 7R, what is the magnitude of the horizontal force component acting on the ball at point Q? (a) h = i (b) F = i

In the figure here, a solid brass ball of mass 0.165 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.18 m, and the ball has radius r<< R. (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? (b) If the ball is released at height h = 7R, what is the magnitude of the horizontal force component acting on the ball at point Q? (a) h = i (b) F = i

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

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

In the figure here, a solid brass ball of mass 0.165 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius \( R = 0.18 \, \text{m} \), and the ball has radius \( r \ll R \).

**(a)** What is \( h \) if the ball is on the verge of leaving the track when it reaches the top of the loop?

**(b)** If the ball is released at height \( h = 7R \), what is the magnitude of the horizontal force component acting on the ball at point \( Q \)?

Below these questions, there are two input fields:

- (a) \( h = \) [input box]
- (b) \( F = \) [input box]

The image shows a diagram illustrating a loop-the-loop track. A spherical ball is shown positioned at the top left, with a vertical height \( h \) indicated. The loop is a complete circle with a marked radius \( R \), and point \( Q \) is located at the end of the horizontal diameter of the loop.

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