Rankers Physics

Equation of SHM: Practice Problem & Solution

Which one of the following statements is true for the speed '$v$' and the acceleration '$a$' of a particle executing simple harmonic motion? (2004)
Value of '$a$' is zero, whatever may be the value of '$v$'
When '$v$' is zero, '$a$' is zero
When '$v$' is maximum, '$a$' is zero
When '$v$' is maximum, '$a$' is maximum

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:

In simple harmonic motion, speed is maximum at the mean position.\nAt this mean position, the displacement is zero, causing the restoring force and acceleration to be zero.

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. A particle moves in a circle of radius $5 \text{ cm}$ with constant speed and time period $0.2\pi$. The acceleration of the particle is: (2011 Pre)
2. Which one of the following equations of motion represents simple harmonic motion? where $k$, $k_0$, $k_1$ and $a$ are all positive. (2009)
3. A body of mass 5 kg hangs from a spring and oscillates with a time period of $ 2\pi $ seconds. If the ball is removed, the length of the spring will decrease by: (1994)
4. A particle executes simple harmonic oscillation with an amplitude $a$. The period of oscillation is $T$. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is: (2007)
5. A particle of mass 4 kg is moving along x-axis under the action of force \(F = -\pi^2 x\) (where F is in newton and x is in m). The time period of oscillation is