Consider the following statements: A simple pendulum is set into oscillation. Then:1. The acceleration is zero when the bob passes through the mean position. 2. In each cycle the bob attains a given velocity twice. 3. Both acceleration and velocity of the bob are zero when it reaches its extreme position during the oscillation.4. The amplitude of oscillation of the simple pendulum decreases with time. Which of these statements are correct?
✓ Correct answer: c) 1, 2 and 4
ExplanationStatement 1 is correct: At the mean position, the pendulum has maximum velocity and is moving in a straight line for an instant with no force along its path and hence producing zero acceleration.Statement 2 is correct: In one complete oscillation, the bob passes through the mean position twice - once moving in each direction, hence attaining the maximum velocity twice in a complete oscillation.Statement 3 is incorrect: At the extreme position, the bob has zero velocity as it stops for an instant before reversing the direction.However, at this point the acceleration is maximum because bob completely comes under the force of gravity and hence produces maximum acceleration.Statement 4 is correct: In an ideal situation, due to air resistance and internal friction, the amplitude of oscillation decreases with time.229
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