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प्रश्न
A particle is in linear simple harmonic motion between two points A and B, 10 cm apart (Figure). Take the direction from A to B as the + ve direction and choose the correct statements.
- The sign of velocity, acceleration and force on the particle when it is 3 cm away from A going towards B are positive.
- The sign of velocity of the particle at C going towards O is negative.
- The sign of velocity, acceleration and force on the particle when it is 4 cm away from B going towards A are negative.
- The sign of acceleration and force on the particle when it is at point B is negative.
उत्तर
a, c and d
Explanation:
In option (a): When the particle is 3 cm away from A going towards B. So, velocity is towards AB, i.e. positive. In SHM, acceleration is always towards the mean position (O) which means both force and acceleration act towards O, having a positive sign. Hence option (a) is correct.
In option (b): When the particle is at C, velocity is towards B hence positive. Hence option (b) is not correct.
In option (c): When the particle is 4 cm away from B going towards A velocity is negative and acceleration is towards mean position (O), hence negative. Hence option (c) is correct.
In option (d): Acceleration is always towards the mean position (O). When the particle is at B, acceleration and force are towards BA which is negative. Hence option (d) is correct.
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