Identification of simple harmonic motion – Rankers Physics

Equation of SHM: Practice Problem & Solution

Which of the following examples does not represent SHM?
Oscillations of a spring block system
Motion of ball bearing inside smooth curved bowl, when released slightly away from equilibrium position
Motion of oscillating mercury column in vertical U-tube
Rotation of earth about its own axis

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Equation of SHM. Understanding the underlying formula is key to arriving at the correct answer below:

Rotation of the Earth about its axis is a periodic motion but not oscillatory. Since it has no restoring force or back-and-forth motion about a mean position, it is not simple harmonic motion.

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Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. Average velocity of a particle performing SHM in one time period is:
2. Assertion (A): If the amplitude of a simple harmonic oscillator is doubled, its total energy also becomes doubled. Reason (R): In harmonic oscillation, the total energy is directly proportional to the amplitude of vibration.  
3. Assertion (A): In damped oscillation, the motion is periodic. Reason (R): In damped oscillation, the amplitude decreases due to dissipative forces.  
4. Two pendulums of length $121 \text{ cm}$ and $100 \text{ cm}$ start vibrating in phase. At some instant, the two are at their means position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the means position is : (2022)
5. When a block is suspended from a spring, time period of its oscillation is \(T\). If this spring is cut into 3 equal parts and this block is suspended from parallel combination of these 3 parts, then new time period of oscillation will be: