A simple pendulum is set into motion attwo different times with different initialconditions. The first time: the bob is inits equilibrium position and is given aninitial velocity +2 m/s. The maximumheight reached by the bob is h1,maxand the period of motion is T1. Thesecond time: the bob is in itsequilibrium position and is given aninitial velocity +6 m/s. The maximumheight reached by the bob is h2,maxand the period of motion is T2. Assumethat the motion is simple harmonic,which of the following is true?

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A simple pendulum is set into motion at two different times with different initial conditions. The first time: the bob is in its equilibrium position and is given an initial velocity +2 m/s. The maximum height reached by the bob is h1,max and the poriod of motion is T1 The

A simple pendulum is set into motion at two different times with different initial conditions. The first time: the bob is in its equilibrium position and is given an initial velocity +2 m/s. The maximum height reached by the bob is h1,max and the poriod of motion is T1 The

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

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

A simple pendulum is set into motion at
two different times with different initial
conditions. The first time: the bob is in
its equilibrium position and is given an
initial velocity +2 m/s. The maximum
height reached by the bob is h1,max
and the period of motion is T1. The
second time: the bob is in its
equilibrium position and is given an
initial velocity +6 m/s. The maximum
height reached by the bob is h2,max
and the period of motion is T2. Assume
that the motion is simple harmonic,
which of the following is true?

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