What is the period T of the ball's motion if L= 2.0 m and the cordmakes an angle of 6 40° with the vertical?Express your answer in seconds.T=in%3D Consider a circular-motion problem in which tension not only must provide the properradial acceleration but also must balance gravity As we shall see, it can do both. Atetherball is attached to a swivel in the ceiling by a light cord of length L, as measuredfrom the ceiling to the center of the tetherball When the ball is hit by a paddle, itswings in a horizontal circle with constant speed o and the cord makes a constantangle B with the vertical direction. The ball goes through one revolution in time T.Assuming that T, mass m, and length L of the rope are known, derive algebraldexpressions for the tension Fr in the cord and the angle B

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Description: What is the period T of the ball's motion if L= 2.0 m and the cordmakes an angle of 6 40° with the vertical?Express your answer in seconds.T=in%3D Consider a circular-motion problem in which tension not only must provide the properradial acceleratio

Tension for the vertical component, Fy=Fcosβ=mg --------(1) Tension for the horizontal component,…

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What is the period T of the ball's motion if L=2.0 m and the cord makes an angle of B= 40° 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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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Question

What is the period T of the ball's motion if L= 2.0 m and the cord
makes an angle of 6 40° with the vertical?
Express your answer in seconds.
T=
in
%3D

Consider a circular-motion problem in which tension not only must provide the proper
radial acceleration but also must balance gravity As we shall see, it can do both. A
tetherball is attached to a swivel in the ceiling by a light cord of length L, as measured
from the ceiling to the center of the tetherball When the ball is hit by a paddle, it
swings in a horizontal circle with constant speed o and the cord makes a constant
angle B with the vertical direction. The ball goes through one revolution in time T.
Assuming that T, mass m, and length L of the rope are known, derive algebrald
expressions for the tension Fr in the cord and the angle B

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