A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L = 1.9 m. The bob is set into motion and its angular displacement is given by 0(t) = 0.11cos(wt), where 0 is in radians and t is in seconds. Take g = 9.8 m/s^2, determine the mechanical energy of this pendulum.

A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L = 1.9 m. The bob is set into motion and its angular displacement is given by 0(t) = 0.11cos(wt), where 0 is in radians and t is in seconds. Take g = 9.8 m/s^2, determine the mechanical energy of this pendulum.

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Description: A simple pendulum consists of a 0.8 kg bob connected to a masslessinextensible cord with a length L 1.9 m. The bob is set into motion and itsangular displacement is given by 0(t) = 0.11cos(wt), where O is in radians and t isin seconds. Take g = 9.8

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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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

A simple pendulum consists of a 0.8 kg bob connected to a massless
inextensible cord with a length L 1.9 m. The bob is set into motion and its
angular displacement is given by 0(t) = 0.11cos(wt), where O is in radians and t is
in seconds. Take g = 9.8 m/s^2, determine the mechanical energy of this
pendulum.

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