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The displacement of a particle is given x=6Cos omega t+8 sin omega t. This equation represents simple harmonic oscillation having amplitude: a) 14m b)2m c) 10m d)5m?
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The displacement of a particle is given x=6Cos omega t+8 sin omega t. ...
Amplitude of Simple Harmonic Oscillation
The equation for the displacement of a particle is given as x = 6Cos(ωt) + 8Sin(ωt).
Finding the Amplitude
To find the amplitude of the simple harmonic oscillation represented by this equation, we can rewrite it in the form of ACos(ωt - φ), where A is the amplitude.
Given x = 6Cos(ωt) + 8Sin(ωt), we can rewrite it as:
x = √(6^2 + 8^2)Cos(ωt + φ), where φ is the phase angle.
Calculating the Amplitude
The amplitude A can be calculated as:
A = √(6^2 + 8^2) = √(36 + 64) = √100 = 10
Therefore, the amplitude of the simple harmonic oscillation represented by the given equation is 10m.
Conclusion
The correct option is:
c) 10m
By following the steps mentioned above, we can determine the amplitude of a simple harmonic oscillation represented by a given equation.
The equation for the displacement of a particle is given as x = 6Cos(ωt) + 8Sin(ωt).
Finding the Amplitude
To find the amplitude of the simple harmonic oscillation represented by this equation, we can rewrite it in the form of ACos(ωt - φ), where A is the amplitude.
Given x = 6Cos(ωt) + 8Sin(ωt), we can rewrite it as:
x = √(6^2 + 8^2)Cos(ωt + φ), where φ is the phase angle.
Calculating the Amplitude
The amplitude A can be calculated as:
A = √(6^2 + 8^2) = √(36 + 64) = √100 = 10
Therefore, the amplitude of the simple harmonic oscillation represented by the given equation is 10m.
Conclusion
The correct option is:
c) 10m
By following the steps mentioned above, we can determine the amplitude of a simple harmonic oscillation represented by a given equation.
Community Answer
The displacement of a particle is given x=6Cos omega t+8 sin omega t. ...
10m
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The displacement of a particle is given x=6Cos omega t+8 sin omega t. This equation represents simple harmonic oscillation having amplitude: a) 14m b)2m c) 10m d)5m?
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The displacement of a particle is given x=6Cos omega t+8 sin omega t. This equation represents simple harmonic oscillation having amplitude: a) 14m b)2m c) 10m d)5m? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The displacement of a particle is given x=6Cos omega t+8 sin omega t. This equation represents simple harmonic oscillation having amplitude: a) 14m b)2m c) 10m d)5m? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a particle is given x=6Cos omega t+8 sin omega t. This equation represents simple harmonic oscillation having amplitude: a) 14m b)2m c) 10m d)5m?.
The displacement of a particle is given x=6Cos omega t+8 sin omega t. This equation represents simple harmonic oscillation having amplitude: a) 14m b)2m c) 10m d)5m? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The displacement of a particle is given x=6Cos omega t+8 sin omega t. This equation represents simple harmonic oscillation having amplitude: a) 14m b)2m c) 10m d)5m? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a particle is given x=6Cos omega t+8 sin omega t. This equation represents simple harmonic oscillation having amplitude: a) 14m b)2m c) 10m d)5m?.
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