As shown in the figure below, a small ball of mass m is attached to the free end of an ideal string of length that is hanging from the ceiling at point S. The ball is moved away from the vertical and released. At the instant shown in the figure, the ball is at an angle (t) with respect to the vertical. Suppose the angle is small throughout the motion. zero of potential g pivot S 1 mo ^ ê O (out) (Part a) Set the zero of gravitational potential energy at the position of the ball when it is at its lowest point of its trajectory. Calculate the potential energy of the ball U at the instant shown in the figure. do (Part b) At the instant shown in the figure the angular velocity of the ball is w₂ = Calculate the kinetic energy of the ball dt do K. You can only use m, g, 1, 0, and w% = to express your answer. dt (Part c) Assuming that the amplitude of the oscillation is small, calculate the angular frequency of oscillation wo. You can only use m, g, l, and to express your answer.

As shown in the figure below, a small ball of mass m is attached to the free end of an ideal string of length that is hanging from the ceiling at point S. The ball is moved away from the vertical and released. At the instant shown in the figure, the ball is at an angle (t) with respect to the vertical. Suppose the angle is small throughout the motion. zero of potential g pivot S 1 mo ^ ê O (out) (Part a) Set the zero of gravitational potential energy at the position of the ball when it is at its lowest point of its trajectory. Calculate the potential energy of the ball U at the instant shown in the figure. do (Part b) At the instant shown in the figure the angular velocity of the ball is w₂ = Calculate the kinetic energy of the ball dt do K. You can only use m, g, 1, 0, and w% = to express your answer. dt (Part c) Assuming that the amplitude of the oscillation is small, calculate the angular frequency of oscillation wo. You can only use m, g, l, and to express your answer.

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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