Rankers Physics

Equation of SHM: Practice Problem & Solution

The displacement versus time graph of SHM is as shown in figure :   Equation of SHM diagram: The displacement versus time graph of SHM is     Which of the following is its acceleration versus time graph ?

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:

Equation of y-t graph is : y  = A sin (ωt) differentiating v = A ω cos (ωt) and a= - Aω² sin (ωt) . So the graph is a function of - sin(ωt).

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Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. A particle is in linear SHM between two points, A and B, 10 cm apart. Take the direction from A to B as the positive direction, find the signs of velocity, acceleration and force on the particle when it is 4 cm from B going towards A :
2. Assertion (A): Amplitude of SHM \(x = 4sin^2\omega t + 2cos^2\omega t + 2sin\omega t cos\omega t\) is \(sqrt{2}\). Reason (R): Angular frequency of given equation is \(2\omega\).  
3. A particle executes SHM according to equation \(2\frac{d^2x}{dt^2} + 100x = 0\) (where \(x\) is in m and \(t\) is in second). Its time period of oscillation is
4. A simple pendulum performs simple harmonic motion about $x = 0$ with an amplitude $a$ and time period $T$. The speed of pendulum at $x = a/2$ will be: (2009)
5. Assertion (A): A hole were drilled through the centre of earth and a ball is dropped into the hole at one end, it will not get out of other end of the hole. Reason (R): Ball will execute simple harmonic motion inside the hole.