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A body oscillates with S.H.M. according ...

A body oscillates with S.H.M. according to the equation
`x(t) = (10 m) cos [(2pit + (pi)/(8))]`
Calculate displacement and velocity at t = 1 s.

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AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Write down the equation of motion The equation of motion for the body in simple harmonic motion (S.H.M) is given as: \[ x(t) = 10 \cos \left(2\pi t + \frac{\pi}{8}\right) \] ### Step 2: Calculate displacement at \( t = 1 \) second To find the displacement at \( t = 1 \) second, substitute \( t = 1 \) into the equation: ...
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MODERN PUBLICATION-OSCILLATIONS -Revision Exercises (Numerical Problems)
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  2. A body oscillates with S.H.M. according to the equation x(t) = (10 m...

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  3. A particle is executing simple harmonic motion of amplitude 12 cm and...

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  7. A body is executing simple harmonic motion under the action of a force...

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  8. Calculate the maximum kinetic energy of a linear harmonic oscillator o...

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  9. A particle is executing simple harmonic motion of amplitude 9 m. At wh...

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  10. When displacement in one third of total amplitude that what fraction o...

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  11. An extension of 10 cm is produced in a spring (spring constant = 1000 ...

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  12. The bob of a simple pendulum executes simple harmonic motion with ampl...

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  13. On suspending a heavy block of 2 kg from a massless spring, an extensi...

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  14. A particle executes simple harmonic motion of ampliltude A. At what di...

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  15. A pan of 2 kg is attached to a spring balance. When a weight of 3 kg i...

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  16. A mass m performs oscillations of period T when hanged by spring of fo...

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  17. A mass M attached to a spring of spring constant 0.7 N/m oscillates on...

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  18. Two particles x and y having same masses are suspended by two massless...

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  19. Calculate the elongation produced in each of the spring combinations:

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  20. The length of a simple pendulum is increased by 30%. What will be the ...

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