Alpha Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise - 1>Q 29

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A particle executes linear SHM. Its time period is equal to the smallest time interval in which the particle acquires a particular velocity $\vec{v}$ . The magnitude of $\vec{v}$ may be,

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Important Questions on Simple Harmonic Motion

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Alpha Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise - 1>Q 30

If

\vec{F}

is force vector,

\vec{v}

is velocity vector,

\vec{a}

vector is acceleration vector and

\vec{r}

is displacement vector with respect to mean position, then which of the following quantities are always non-negative in a simple harmonic motion along a straight line?

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Alpha Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise - 1>Q 31

Two SHMs are represented by,

y = a \sin (ω t - ϕ) and y = b \cos (ω t - ϕ)

. The phase difference between the two is,

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Alpha Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise - 1>Q 32

How long after the beginning of motion is the displacement of a harmonically oscillating particle equal to one half its amplitude if the period is

24 s

and the particle starts from rest?

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Alpha Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise - 1>Q 33

The magnitude of average acceleration in half-time period from equilibrium position in a simple harmonic motion is,

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Alpha Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise - 1>Q 34

A particle performs SHM on the

y

-axis according to equation,

y = A + B sinω t

. Its amplitude is,

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Alpha Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise - 1>Q 35

Two particles execute S.H.M. of same amplitude and frequency along the same straight line from same mean position. They cross one another without collision when going in opposite directions. Each time, their displacement from mean position is half of their amplitudes. The phase difference between them is,

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Alpha Question Bank for Engineering: Physics>Chapter 19 - Simple Harmonic Motion>Exercise - 1>Q 36

A mass