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Intro to Simple Pendulum

for a damped ...

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for a damped oscillator ,the mass m of the block is 400g, k=45N/m and the damping cons†an t b is 80g/s.calculate time taken for its amplitude if vibrations to drop to half if its initial value

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Q. For the damped oscillator shown in Fig, the mass of the block is

200 g, k = 80 N m^{- 1}

and the damping constant

b

40 g s^{- 1}

Calculate.
(a) The period of oscillation,
(b) Time period for its amplitude of vibrations to drop to half of its initial value
(c) The time for the mechanical energy to drop to half initial value.

For the damped oscillator shown, the mass m of the block is 200 g, k = 90 N m $^{- 1}$ and the damping constant b is 40 g s $^{- 1}$ . What is the period of oscillation, time taken for its amplitude of vibrations to drop to half of its initial value.

Q. A block of mass

200

g executing SHM under the influence of a spring of spring constant

k = 90 N m^{- 1}

and a damping constant

b = 40 g s^{- 1}

. Time taken for its amplitude of vibrations to drop to half of its initial values (Given, In

(1 / 2) = - 0.693)

Q. The displacement of a damped harmonic oscillator is given by

x (t) = e^{- 01.1 t} c o s (10 π t + Φ) .

t

is in seconds. The time taken for its amplitude of vibration to drop to half for its initial value is close to :

Q. A block of mass

0.1 k g

is connected to an elastic spring of spring constant

640 N m^{- 1}

and oscillates in a damping medium of damping constant

10^{- 2} k g s^{- 1}

. The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to:

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Intro to Simple Pendulum

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