Simple Harmonic Motion Graphs

Front

What is Simple Harmonic Motion (SHM)?

Back

A type of periodic motion where an object oscillates back and forth around an equilibrium position, with a restoring force proportional to the displacement from that position.

Front

What is the formula for the period (T) of a mass-spring system in SHM?

Back

T = 2π√(m/k), where m is the mass and k is the spring constant.

Front

What is the relationship between kinetic energy (Ek) and potential energy (Ep) in SHM?

Back

In SHM, the total mechanical energy is conserved, meaning Ek + Ep = constant.

Front

At which position is the kinetic energy maximum in SHM?

Back

At the equilibrium position, where the speed of the object is greatest.

Front

At which position is the elastic potential energy maximum in SHM?

Back

At the maximum displacement (amplitude) from the equilibrium position.

Front

What does the spring constant (k) represent?

Back

The spring constant measures the stiffness of the spring; a higher k value indicates a stiffer spring.

Front

How does the displacement of an object in SHM vary with time?

Back

The displacement varies sinusoidally with time, typically represented by a sine or cosine function.

Front

What is the phase of an oscillating object in SHM?

Back

The phase indicates the position of the object in its cycle at a specific time, often measured in radians.

Front

What is the maximum velocity of an object in SHM?

Back

The maximum velocity (v_max) occurs at the equilibrium position and is given by v_max = Aω, where A is the amplitude and ω is the angular frequency.

Front

What is the angular frequency (ω) in SHM?

Back

ω = 2π/T, where T is the period of the motion.