Question

Magnitude and direction of acceleration changes for:

• A. Simple harmonic motion
• B. Body falling under gravity at low altitude
• C. Body falling under gravity at high altitude
• D. Circular motion with constant speed
• E. Body falling in a viscous liquid

Hint:

In SHM, the acceleration changes both in magnitude and direction, making it a key feature of this type of motion.

Answer 1

The Correct Option is A

In simple harmonic motion (SHM), the magnitude and direction of acceleration change continuously. The acceleration is proportional to the displacement from the equilibrium position, and it is always directed towards the equilibrium position. The magnitude of acceleration is given by: \[ a = -\omega^2 x \] where:
- \( \omega \) is the angular frequency,
- \( x \) is the displacement from the equilibrium position.
Step 1: Understanding acceleration in SHM.
In SHM, acceleration changes its direction as the object moves back and forth. When the object is at the maximum displacement, the acceleration is at its maximum and directed towards the center. When the object is at the equilibrium position, the acceleration is zero.
Step 2: Conclusion.
Therefore, the correct answer is (A), as in simple harmonic motion, both the magnitude and direction of acceleration change continuously.
Final Answer:} (A) Simple harmonic motion