Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 10

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A particle $P$ is moving on a circular path of radius $R$ as shown in figure. If time period is $2$ minutes, then the equation of projection on $y$ axis for particle $P$ is (where $t$ is in seconds)

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Important Questions on Oscillations

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 15

A particle of mass

1 kg

is executing oscillation and its equation of motion is given by

2 \frac{d^{2} x}{d t^{2}} + \frac{d x}{d t} + x = 0 .

The motion is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 1

The circular motion of a particle with constant speed is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 2

If effective length of a simple pendulum is equal to radius of earth

(R),

time period will be

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 3

The plot of velocity

(v)

versus displacement

(x)

of a particle executing simple harmonic motion is shown in figure. The time period of oscillation of particle is
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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 4

A

1.00 \times 10^{- 20} kg

particle is vibrating with simple harmonic motion with a period of

1.00 \times 10^{- 5} \sec

and a maximum speed of

1.00 \times 10^{3} m s^{- 1}

. The maximum displacement of the particle is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 5

The equation of an

SHM

with amplitude

A

and angular frequency

ω

in which all the distances are measured from one extreme position and time is taken to be zero at the other extreme position is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 6

A body oscillates with

SHM

according to the equation

x = (5.0 m) \cos [(2 π rad s^{- 1}) t + π / 4]

At

t = 1.5 s,

its acceleration is

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Gamma Question Bank for Medical Physics>Chapter 14 - Oscillations>Assignment>Q 7

The period of a particle executing

SHM

is

8 s

. At

t = 0

, it is at the mean position. The ratio of the distances covered by the particle in the

1^{st}

second to the

2^{nd}

second is