Finding frequency of oscillation from the expression of acceleration:[Oscillations Patterns of problems Part 2/8]

 2.
Finding frequency of oscillation from the expression of acceleration

The acceleration of a simple harmonic motion is related to the displacement with the equation 
 a=−ω2x

x

. Therefore, if we can write an equation of this kind then we can directly find the angular frequency of oscillation. on the other hand, if we know angular frequency and displacement then we can find acceleration and then velocity by integration.

 Question:  From NCERT  | NEET   || [Difficult level:Easy] ||| 

.

Two simple Harmonic Motions of angular frequency 100 and 1000 rad S−1 have the same displacement amplitude. The ratio of their maximum accelerations is :

A

1:103

B

1:104

C

1:10

D

1:102

.

.

 ✅ 

 Answer ▽ ✅Verified 

D

1:$10^2$

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 Question:  From NCERT  | NEET   || [Difficult level:Easy] ||| 

.

The magnitude of maximum acceleration is π times that of maximum velocity of a simple harmonic oscillator. The time period of the oscillator in seconds is:

A

4

B

2

C

1

D

0.5

 ✅ 

 Answer ▽ ✅Verified 

B

$2$

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