Self Studies

Oscillations Te...

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  • Question 1
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    A desktop toy pendulum swings back and forth once every $$1.0 s$$. How long is this pendulum?

  • Question 2
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    Calculate the period and frequency for the second hand, minute hand, and hour hand of a clock.

  • Question 3
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    Given equation of SHM is $$\displaystyle x=10\sin 10\pi t.$$ Find the distance between the two points where speed is $$\displaystyle 50\pi $$ cm/sec; x is in cm and t is in seconds. 

  • Question 4
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    For a particle performing SHM, equation of motion is given as $$\displaystyle \frac{d^{2}x}{dt^{2}}+4x=0$$. Find the time period

  • Question 5
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    The bob of mass $$50   gms$$ of a simple pendulum is replaced by another bob of mass $$75   gms$$. The time period of the simple pendulum

  • Question 6
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    A hollow pendulum bob filled with water has a small hole at the bottom through which water escapes at a constant rate. Which of the following statements describes the variation of the time period (T) of the pendulum as the water flows out?

  • Question 7
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    The magnitude of acceleration of particle executing SHM at the position of maximum displacement is:

  • Question 8
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    Directions For Questions

    A particle of mass 2 kg is acted upon by a force of F = (8 - 2x) N. It is released from rest at x = 6 m.

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    The equilibrium position of the particle is

  • Question 9
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    The bob of a second's pendulum is replaced by another bob of double mass. The new time period will be

  • Question 10
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    If the period of oscillation of a simple pendulum is 4 second and we want to convert it into a second pendulum, then we have to

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