Question
A particle is in linear simple harmonic motion between two points A and B, 10cm apart Take the direction from A to B as the + ve direction and choose the correct statements:

  1. The sign of velocity, acceleration and force on the particle when it is 3cm away from A going towards B are positive.
  2. The sign of velocity of the particle at C going towards O is negative.
  3. The sign of velocity, acceleration and force on the particle when it is 4cm away from B going towards A are negative.
  4. The sign of acceleration and force on the particle when it is at point B is negative.

Answer

  1. The sign of velocity, acceleration and force on the particle when it is 3cm away from A going towards B are positive.
  1. The sign of velocity, acceleration and force on the particle when it is 4cm away from B going towards A are negative.
  1. The sign of acceleration and force on the particle when it is at point B is negative.

Explanation:

  1. when the particle is going from A to B (+ve direction) and it is 3 cm from A velocity increases up to O so velocity is positive. Acceleration in SHM is towards +ve. So both v and a are +ve.
  2. As the particle is going towards B so velocity is Positive not negative.
  3. As the particle is at 4cm from B and B and going towards A i.e. (-)ve side, so velocity and acceleration towards mean position at O. So both are negative.
  4. When particle is at B force and acceleration both are towards ‘O’, so both are negative.

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