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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.