A ball of mass m is attached to a string of length L. It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. (Figure 1)Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, the ball's speeds are and b. and the corresponding tensions in the string are T and Tb. It and I have magnitudes T and T. Find TT, the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle. Express the difference in tension in terms of m and g. The quantities and up should not appear in your final answer. View Available Hint(s) Tb-Tt= IVE ΑΣΦ ?

A ball of mass m is attached to a string of length L. It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. (Figure 1)Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, the ball's speeds are and b. and the corresponding tensions in the string are T and Tb. It and I have magnitudes T and T. Find TT, the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle. Express the difference in tension in terms of m and g. The quantities and up should not appear in your final answer. View Available Hint(s) Tb-Tt= IVE ΑΣΦ ?

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

The image depicts a swinging pendulum in circular motion. The diagram shows a mass \( m \) attached to the end of a string with length \( L \). The mass is shown moving along a circular path, indicated by a dashed circle. An arrow suggests the direction of motion, showing the path of the mass as it moves clockwise in a circular trajectory. The pivot point from which the pendulum swings is marked at the center of the circle.

A ball of mass \( m \) is attached to a string of length \( L \). It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball’s motion. (Figure 1) Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, the ball's speeds are \( v_t \) and \( v_b \), and the corresponding tensions in the string are \( \vec{T}_t \) and \( \vec{T}_b \). \( \vec{T}_t \) and \( \vec{T}_b \) have magnitudes \( T_t \) and \( T_b \).

Find \( T_b - T_t \), the difference between the magnitude of the tension in the string at the bottom relative to that at the top of the circle.

Express the difference in tension in terms of \( m \) and \( g \). The quantities \( v_t \) and \( v_b \) should not appear in your final answer.

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