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Standard XII
Physics
Simple Harmonic Oscillation
Question

A particle is an linear simple harmonic motion between two extreme point A and B. 10 cm apart(See figure below) If the direction from A to B is taken as positive direction, what are signs of displacement x, velocity V and acceleration a, when the particle is at A?
156096.jpg
  1. x=−ve,V=−ve,a=−ve
  2. x=+ve,V=0,a=−ve
  3. x=+ve,V=−ve,a=+ve
  4. x=−ve,V=0,a=+ve

A
x=+ve,V=0,a=−ve
B
x=−ve,V=−ve,a=−ve
C
x=−ve,V=0,a=+ve
D
x=+ve,V=−ve,a=+ve
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Solution
Verified by Toppr

When particle is at extreme A, velocity is zero. Since it is on the negative side of the mean, thus x is negative. Acceleration will be towards right that pulls it back (= - kx), thus acceleration is positive (as x is negative).

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