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

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 55PQ

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Known values Mass of Sun: 1.99×10³º kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²? 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 m function: x(t) = x,e-t/2" cos(w't + q); t =";w' = wo]1 – )*; wo = 2mwo' %3D Question 2 In designing different structures like buildings, bridges etc., how should the natural frequencies of oscillation of a structure associated to seismic frequencies? For safety, should the structure have a large or small amount of damping? Please explain reasonably. 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 ( 30rt +"). Find the frequency and the period of the oscillation. Find а. the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. Figure…
Known values Mass of Sun: 1.99×103º 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 k function: x(t) = xge "{/2" cos(w't + q); t = ;w' = w, 1-; wo 2mwo' 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 b. Consider a large massive spherical shell object. With all of its mass M is distributed at its radius R (shown in the figure). Draw a schematic graph of gravitational force and corresponding gravitational potential energy experienced by another object m at a distance r, where the distance varies as, r → 0 to r → ∞. Justify your answer. Figure 4: Question 5(a) Two masses 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 %3D m b function: x(t) = x,e¬t/2t cos(w't + ø); t = ";w' = wo.[1 – -)2; wo = 2mwo b b. Two uniform spheres, each of mass 0.260 kg, are fixed at points A and B (Figure). Find the magnitude and direction of the initial acceleration of a uniform sphere with mass 0.010 kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at A and B. 0,010 kg PO 10.0 cm 10.0 cm 0.260 kg - 6.0 cm` 0.260 kg 8.0 cm | 8.0 cm A В Figure 2: Question 3(b) Two masses 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 )2; wo =. 2mwo' m function: x(t) = x,e-t/2r cos(w't + ø); =! = Wo 1 – %3D m Question 2 In designing different structures like buildings, bridges etc., how should the natural frequencies of oscillation of a structure associated to seismic frequencies? For safety, should the structure have a large or small amount of damping? Please explain reasonably. а.
At apogee, the center of the moon is 406,395 km from the center of Earth and at perigee, the moon is 357,643 km from the center of Earth. What is the orbital speed of the moon at perigee and at apogee? The mass of Earth is 5.98 x 1024 kg. speed at perigee| km/s speed at apogee m/s eBook