The angle (with respect to the vertical) of a simple pendulum is given by e = 0mcos[(5.88 rad/s)t + $]. If at t = 0,0 = 0.0450 rad andde/dt = -0.160 rad/s, what are (a) the phase constant p and (b) the maximum angle em? (Hint: Don't confuse the rate de/dt at which echanges with the w of the SHM.)PivotpointL.e\LS= LeF, coseFesine-(a)(b)(a) NumberiUnit(b) NumberUnit>

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Description: The angle (with respect to the vertical) of a simple pendulum is given by e = 0mcos[(5.88 rad/s)t + $]. If at t = 0,0 = 0.0450 rad andde/dt = -0.160 rad/s, what are (a) the phase constant p and (b) the maximum angle em? (Hint: Don't confuse the rate

Given data: The expression for angle, θ=θmcos5.88 rad/st+ϕ ....... (1) At t = 0, θ=0.0450…

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The angle (with respect to the vertical) of a simple pendulum is given by e = 0mcos[(5.88 rad/s)t + p]. If at t = 0,0 = 0.0450 rad and de/dt = -0.160 rad/s, what are (a) the phase constant o and (b) the maximum angle 0m? (Hint: Don't confuse the rate de/dt at which 6 changes with thew of the SHM.) Pivot point Is= Le cose Fesine- (a) (a) Number i Unit (b) Number i Unit

The angle (with respect to the vertical) of a simple pendulum is given by e = 0mcos[(5.88 rad/s)t + p]. If at t = 0,0 = 0.0450 rad and de/dt = -0.160 rad/s, what are (a) the phase constant o and (b) the maximum angle 0m? (Hint: Don't confuse the rate de/dt at which 6 changes with thew of the SHM.) Pivot point Is= Le cose Fesine- (a) (a) Number i Unit (b) Number i Unit

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 76PQ

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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

The angle (with respect to the vertical) of a simple pendulum is given by e = 0mcos[(5.88 rad/s)t + $]. If at t = 0,0 = 0.0450 rad and
de/dt = -0.160 rad/s, what are (a) the phase constant p and (b) the maximum angle em? (Hint: Don't confuse the rate de/dt at which e
changes with the w of the SHM.)
Pivot
point
L.
e\L
S= Le
F, cose
Fesine-
(a)
(b)
(a) Number
i
Unit
(b) Number
Unit
>

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