question_answer 43)

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

                  (a, c, d) (a) Particle at \[{{P}_{1}}\] is 3 cm away from and is going towards B. As such sign of \[\upsilon \] is positive. Force and acceleration, which are directed towards O, also have positive signs. (b) Particle at C is going from A to B and as such sign of \[\upsilon \] is positive. (c) Particle at \[{{P}_{2}}\] is 4 cm away from B and is going towards O. As such sign of \[\upsilon \] is negative. Force and acceleration which are directed towards O also have negative signs. (d) Particle at B is going towards O and as such signs of acceleration and force are negative.