Question

U
S
) 0.
03
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15. The equation of motion of a particle in SHM
is a + 4x = 0 . Here 'a' is linear
acceleration of the particle at displacement
*x'in metre. Its time period is
1) Rs 2) 2as 3) 7 s 42s​

Answer 1

Answer:we know, A particle follow simple harmonic motion when relation between linear acceleration and displacement must be ....(1)

where, omega or w  is angular frequency.

here, The equation of motion of a particle executing simple harmonic motion is a + 16π²x = 0

or, a =w -16π²x ........(2)

comparing equations (1) and (2),

(w)2=16(pi)2

w=4pi

but we know,  

w=2pi/t

so, 2π/T = 4π ⇒ T = 2π/4π = 1/2 sec or 0.5 sec

hence, time period is 0.5 sec.

Explanation:

Answer 2

Answer:

Explanation:

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