What two conditions are required for simple harmonic motion to occur?

What conditions must be met to produce SHM? The restoring force must be proportional to the displacement and act opposite to the direction of motion with no drag forces or friction. The frequency of oscillation does not depend on the amplitude.

Under what condition is the motion of a body a simple harmonic motion?

simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same.

What is the condition of harmonic oscillations?

If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant frequency (which does not depend on the amplitude).

What is the basic condition for the motion of a particle?

The necessary and sufficient condition for motion to be simple harmonic is that the restoring force must be linear.

What is the basic condition for the motion of a particle to be SHM class 11 physics?

The necessary and sufficient condition for motion to be S.H. is that the restoring force must be linear, i.e., F = -ky or torque, τ = -cθ.

What is the basic condition of force of a particle executing SHM?

Conditions for Linear SHM: The restoring force or acceleration acting on the particle should always be proportional to the displacement of the particle and directed towards the equilibrium position.

On which of the following does the energy of simple harmonic motion depend?

The energy E of a particle oscillating in SHM depends on the mass m of the particle, frequency n and amplitude a of oscillation.

What is simple harmonic motion give an example?

Simple Harmonic Motion. 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. A good example of SHM is an object with mass m attached to a spring on a frictionless surface, as shown in (Figure).

How do you find the velocity of a spring in SHM?

The velocity of the mass on a spring, oscillating in SHM, can be found by taking the derivative of the position equation: Because the sine function oscillates between –1 and +1, the maximum velocity is the amplitude times the angular frequency,

How do you calculate up and down pistons per second?

Simply divide by 60 to get the up-and-downs per second. A typical car engine idles around 700 rpm and redlines around 7,000 rpm. This equates to a piston going up and down about 12 times per second at idle and 120 times per second at redline.

Does a simple harmonic oscillator oscillate with equal displacement?

If the net force can be described by Hooke’s law and there is no damping (slowing down due to friction or other nonconservative forces), then a simple harmonic oscillator oscillates with equal displacement on either side of the equilibrium position, as shown for an object on a spring in (Figure).