a) the sign of velocity, acceleration, and force on the particle when it is 3 cm away from A going towards B are positive

b) the sign of velocity of the particle at C going towards O is negative

c) the sign of velocity, acceleration, and force on the particle when it is 4 cm away from B going towards A are negative

d) the sign of acceleration and force on the particle when it is at point B is negative

Answer:

The correct options are

a) the sign of velocity, acceleration, and force on the particle when it is 3 km away from A going towards B are positive

c) the sign of velocity, acceleration, and force on the particle when it is 4 cm away from B going towards A are negative

d) the sign of acceleration and force on the particle when it is at point B is negative

Explanation:

M is the linear SHM’s mean location. (In a straight line, motion is periodic.)
The particle’s velocity is greatest in the centre and lowest at the edges.

(i)  If the particle is 3cm away from A and moving towards B, the acceleration is positive, and the force is positive as well.
As a result, velocity is positive.

(ii) Because the particle’s acceleration is positive at point B, the force is positive as well.

(iii) If a particle is 4cm away from B and travelling towards A, its velocity is positive. The force is also +ve, and the acceleration is also +ve.