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A particles starts from point x=-sqrt(3)...

A particles starts from point `x=-sqrt(3)/(2) A` and move towards negative extrene as shown . If the time period of oscillation is T , them

A

The equation of the SHM is `x= A sin ((2pi)/(T)+(4pi)/(3))`

B

The time taken by the particle tto go directly from its initial position to negative extreme is `(T)/(12)`

C

The time taken by the particle to reach at mean position is `(T)/(3)`

D

The equation of the SHM is ` x= A sin ((2pi)/(T)+(pi)/(3))`

Text Solution

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The correct Answer is:
A, B, C
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A particle starts from point x = (-sqrt(3))/(2) A and move towards negative extreme as shown (a) Find the equation of the SHM. (b) Find the time taken by the particle to go directly from its initial position to negative extreme. (c) Find the time taken by the particle to reach at mean position.

A particle starts from point x = (-sqrt(3))/(2)A and move towards negative extreme as shown, (a) Find the equation of the SHM (b) Find the time taken by the particle to go directly from its initial position to negative extreme. (c) Find the time taken by the particle to reach at mean position.

Knowledge Check

  • A particle moves such that acceleration is given by a= -4x . The period of oscillation is

    A
    `pi`
    B
    `(2)/(pi)`
    C
    `(1)/(pi)`
    D
    `2pi`
  • A particle starts from a point P at a distance of A//2 from the mean position O & travels towards left as shown in the figure. If the time period of SHM , executed about O is T and amplitude A then the equation of motion of particle is :

    A
    `X=A sin ((2pi)/(T)t+(pi)/(6))`
    B
    `X=A sin((2pi)/(T)t+(5pi)/(6))`
    C
    `X=A cos((2pi)/(T)t+(pi)/(6))`
    D
    `X=A cos ((2pi)/(T)t+(pi)/(3))`
  • A particle starts from a point P at a distance of A//2 from the mean position O and travels towards left as shown in the figure. If the time period of SHM, executed about O is T and amplitude A then the equation of the motion of particle is

    A
    `x = A sin ((2pi)/(T)t + (pi)/(6))`
    B
    `x = A sin((2pi)/(T)t + (5pi)/(6))`
    C
    `x = A cos ((2pi)/(T)t + (pi)/(6))`
    D
    `x = Acos ((2pi)/(T)t + (pi)/(3))`
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