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Spring is mounted as shown in figure. By...

Spring is mounted as shown in figure. By attaching a mass to the free end and pulling side ways, we determine that the force is proportional to the displacement a force of 4N causing a displacement of 0.02 m. We attach a 2kg body to the end, pull it aside through a distance of 0.04m , and then released. Find

How much time is required for the body to move half way into the center from its initial position?

Text Solution

Verified by Experts

As per the question `(A)/(2) = A cos (10 s^(-1)) t`
or `(1)/(2) = cos (10 s^(-1)) t`
`rArr t = (pi)/(30) sec`
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FIITJEE-SIMPLE HARMONIC MOTION-Assignment Problems (Objective) (Level-II)
  1. Spring is mounted as shown in figure. By attaching a mass to the free ...

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  2. A particle moves in x-y plane according to the equation bar(r ) = (hat...

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  3. Which of the following quantities are always negative in a simple har...

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  4. If a simple harmonic motion is given by y=(sin omegat+cosomegat)m ...

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  5. Equation of SHM is x = 10 sin 10 pi t. Find the distance between the t...

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  6. In SHM which of the following statement is/are correct?

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  7. The displacement time graph of a particle executing an SHM is as shown...

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  8. Which of the following is/are essential for SHM?

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  9. A horizontal spring-block system of mass 1kg executes SHM of amplitude...

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  10. A simple pendulum of length 1 m with a bob of mass m swings with an an...

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  11. A constant force F is applied on a spring block system as shown in fig...

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  12. Velocity-time graph of a particle executing SHM is shown in figure. Se...

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  13. Acceleration time graph of a particle executing SHM is as shown in the...

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  14. Density of a liquid varies with depth as rho=alphah. A small ball of d...

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  15. A particle stars SHM at time t=0. Its amplitude is A and angular frequ...

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  16. A particle moves along the x-axis according to the equation x=4+3sin(2...

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  17. In simple harmonic motion

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  18. A block of mass m is attached to a massless spring of force constant k...

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  19. A particle is executing SHM on a straight line. A and B are two points...

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  20. Two particles undergo SHM along the same line with the same time perio...

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  21. A spring mass system as shown in figure is suspended in a constant ele...

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