Known valuesMass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg;Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'' m; Earth-Moon distance = 3.82×10® m; Radiusof Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = -MR²; Damped harmonic motionb-t/2r cos(w't + p); t =mfunction: x(t)= xoe= wo 1 ––)²; wo =2mwo'тb. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according tothe equation x = 0.06 cos ( 30t +“). Find the frequency and the period of the oscillation. Findthe velocity of the particle, its acceleration and the acting force, as well as the amplitudes of therespective quantities.minFigure 1: Question 2(b) A spring mass system

The object has a mass of 0.2 kg. Let m=0.2 kg. The object attached to the spring exhibits SHM, whose…

Known values Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg; Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'' m; Earth-Moon distance = 3.82×10$ m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = - MR²; Damped harmonic motion b function: x(t) = xoe-t/2r cos(@'t + w); t = "; w' = wo1 – →²; wo = 2mwo' b. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to the equation x = 0.06 cos (30xt + =). Find the frequency and the period of the oscillation. Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. Jmmin www Figure 1: Question 2(b) A spring mass system

Known values Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg; Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'' m; Earth-Moon distance = 3.82×10$ m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = - MR²; Damped harmonic motion b function: x(t) = xoe-t/2r cos(@'t + w); t = "; w' = wo1 – →²; wo = 2mwo' b. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to the equation x = 0.06 cos (30xt + =). Find the frequency and the period of the oscillation. Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. Jmmin www Figure 1: Question 2(b) A spring mass system

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

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

Known values
Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg;
Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'' m; Earth-Moon distance = 3.82×10® m; Radius
of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = -MR²; Damped harmonic motion
b
-t/2r cos(w't + p); t =
m
function: x(t)
= xoe
= wo 1 –
–)²; wo =
2mwo'
т
b. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to
the equation x = 0.06 cos ( 30t +“). Find the frequency and the period of the oscillation. Find
the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the
respective quantities.
min
Figure 1: Question 2(b) A spring mass system

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Known values Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg; Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10" m; Earth-Moon distance = 3.82×10³ m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = -MR²; Damped harmonic motion m function: x(t) = x,e¯t/2t cos(w't + q); t = - =7;w' = wo.]1 - -)?; wo = 2mwo' т Question 5 a. Explain why you expect an object made of a stiff material to vibrate at a higher frequency than a similar object made of a more flexible material. Figure 3: Question 5(a) Samples of stiff and flexible material
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