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For a simple pendulum in simple harmonic motion, which of the following statements is/are correct? 1. The kinetic energy is maximum at the mean position. 2. The potential energy is maximum at the mean position. 3. Acceleration is maximum at the mean position. Select the correct answer using the code given below : Code:
Explanation
In a simple pendulum undergoing simple harmonic motion (SHM), energy continuously transforms between kinetic and potential forms. At the mean (equilibrium) position, the displacement is zero, meaning the potential energy is at its minimum (zero) and the velocity is at its maximum [t2][t4][t7]. Consequently, the kinetic energy is maximum at the mean position, making statement 1 correct and statement 2 incorrect [t2][t7]. Regarding acceleration, SHM is defined by a restoring force and acceleration that are directly proportional to the displacement from the mean position but directed towards it [t3][t8][t9]. Since displacement is zero at the mean position, the acceleration is also zero at that point [t2][t9]. Acceleration reaches its maximum value at the extreme positions (maximum displacement), where the restoring force is strongest [t2][t8]. Therefore, only statement 1 is correct.
SIMILAR QUESTIONS
Consider the following statements : A simple pendulum is set into oscillation. Then I. the acceleration is zero when the bob passes through the mean position. II. in each cycle the bob attains a given velocity twice. III. both acceleration and velocity of the bob are zero when it reaches its extreme position during its oscillation. IV. the amplitude of oscillation of the simple pendulum decreases with time. Which of these statements are correct ?
The following figure shows displacement versus time curve for a particle executing simple harmonic motion : Which one of the following statements is correct ?
Which one of the following statements regarding motion is correct ?
The following diagram shows a pendulum at different positions (P and T are the extremes, R is the mean position). Which one of the following statements is true?
(a) The pendulum has minimum potential energy at positions P and T.
(b) The pendulum has minimum potential energy at positions Q and S.
(c) The pendulum has minimum potential energy at position R.
(d) The pendulum has same potential energy at all positions.