What are the characteristics of simple harmonic motion show that motion of a simple pendulum is simple harmonic?

Following are the main characteristics of simple harmonic motion: In simple harmonic motion, the acceleration of the particle is directly proportional to its displacement and directed towards its mean position. The total energy of the particle exhibiting simple harmonic motion is conserved. SHM is a periodic motion.

What are the characteristics of the force in a simple harmonic motion?

Simple Harmonic Motion (SHM) is a restoring force that must act on the body. The body moves back and forth with respect to a mean position. The body must have acceleration in a direction opposite to the displacement and the acceleration must be directly proportional to displacement.

What are the two basic characteristics of simple harmonic motion?

(i) Acceleration is directly proportional to displacement. (ii) The direction of acceleration is always towards the mean position, that is opposite to displacement.

How do you show motion is simple harmonic?

Simple harmonic motion can be considered the one-dimensional projection of uniform circular motion. If an object moves with angular speed ω around a circle of radius r centered at the origin of the xy-plane, then its motion along each coordinate is simple harmonic motion with amplitude r and angular frequency ω.

What are the two basic characteristics of simple harmonic motion class 11?

1. The restoring force (or acceleration) acting on the particle is always proportional to the displacement of the particle from the equilibrium position. 2. The force (or acceleration) is always directed towards the equilibrium position.

What is simple harmonic motion write its any four characteristics?

1- A restoring force must act on the body. 2- Body must have acceleration in a direction opposite to the displacement and the acceleration must be directly proportional to displacement. 3- The system must have inertia (mass). 4- SHM is a type of oscillatory motion. 5- It is a particular case of preodic motion.

What is meant by SHM what are its main characteristics derive an equation of simple harmonic oscillator?

Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The acceleration of a particle executing simple harmonic motion is given by, a(t) = -ω2 x(t). Here, ω is the angular velocity of the particle.

What are the characteristics of oscillation?

The 3 characteristics of oscillation are

• frequency.
• amplitude.
• time period.

At what point in an oscillation does a simple harmonic oscillator have its maximum speed?

When displaced from equilibrium, the object performs simple harmonic motion that has an amplitude X and a period T. The object’s maximum speed occurs as it passes through equilibrium. The stiffer the spring is, the smaller the period T. The greater the mass of the object is, the greater the period T.