A particle is in linear simple harmonic motion between two points, A and B, 10 \mathrm{~cm} apart. Take the direction from A to B as the positive direction and give the signs of velocity, acceleration and force on the particle when it is
(a) at the end A,
(b) at the end B
A particle is in linear simple harmonic motion between two points, A and B, 10 \mathrm{~cm} apart. Take the direction from A to B as the positive direction and give the signs of velocity, acceleration and force on the particle when it is
(a) at the end A,
(b) at the end B

(a) Zero, Positive, Positive

Points A and B are the path’s two ends, with A-B=10cm and’O’ being the path’s halfway.

Between the end locations, a particle moves in a linear simple harmonic motion. The particle is temporarily at rest at the extreme point A. As a result, its velocity at this location is zero. Because it is travelling along AO, its acceleration is positive. Because the particle is oriented rightward, force is also positive in this situation.

The particle is temporarily at rest at the extreme point B. So, its velocity is zero.

(b) Zero, Negative, Negative

Points A and B are the path’s two ends, with A-B=10cm and’O’ being the path’s halfway.

Between the end locations, a particle moves in a linear simple harmonic motion. The particle is temporarily at rest at the extreme point A. As a result, its velocity at this location is zero. Because it is travelling along AO, its acceleration is positive. Because the particle is oriented rightward, force is also positive in this situation.

The particle is temporarily at rest at the extreme point B. So, its velocity is zero.