How does the acceleration time graph compare to the displacement time graph for SHM?

Acceleration-time graph flipped in x-axis compared to displacement-time graph. Therefore, acceleration is in the opposite direction but equal in magnitude (hence directly proportional) to displacement.

What is the relation between displacement and acceleration of a simple harmonic oscillator?

In simple harmonic motion, the acceleration of the system, and therefore the net force, is proportional to the displacement and acts in the opposite direction of the displacement.

Why is acceleration opposite to displacement?

Since the restoring force is proportional to displacement from equilibrium, both the magnitude of the restoring force and the acceleration is the greatest at the maximum points of displacement. The negative sign tells us that the force and acceleration are in the opposite direction from displacement.

What is the relation between acceleration and displacement?

For a simple harmonic motion, acceleration is directly proportional to the displacement of the object from its mean position and always points towards the mean position (f=−ω2y).

What is velocity time graph in physics?

A velocity-time graph shows the speed and direction an object travels over a specific period of time. Velocity-time graphs are also called speed-time graphs. The vertical axis of a velocity-time graph is the velocity of the object. The horizontal axis is the time from the start.

Which of the following relation between the acceleration and the displacement of a particle represent the simple harmonic motion?

Solution 2 Only (c) i.e., a = – 10x represents SHM. This is because acceleration is proportional and opposite to displacement (x).

What is difference between displacement and acceleration?

Displacement is a vector which points from the initial position of an object to its final position. Acceleration is a vector which shows the direction and magnitude of changes in velocity.

What is the difference between positive and negative acceleration?

Mathematically, a negative acceleration means you will subtract from the current value of the velocity, and a positive acceleration means you will add to the current value of the velocity.

Can displacement and acceleration be in same direction in SHM?

No displacement and acceleration can not be in the same direction.