Simple Harmonic Motion

Front

What is Simple Harmonic Motion (SHM)?

Back

Simple Harmonic Motion is 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 displacement in SHM?

Back

The displacement in SHM can be described by the equation: x(t) = A cos(ωt + φ), where A is the amplitude, ω is the angular frequency, and φ is the phase constant.

Front

What is the significance of amplitude in SHM?

Back

Amplitude is the maximum displacement from the equilibrium position in SHM. It determines the maximum extent of the oscillation.

Front

What is angular frequency in SHM?

Back

Angular frequency (ω) is a measure of how quickly the object oscillates, defined as ω = 2π/T, where T is the period of the motion.

Front

What is the relationship between period and frequency in SHM?

Back

The period (T) is the time taken for one complete cycle of motion, while frequency (f) is the number of cycles per unit time. They are related by the equation: f = 1/T.

Front

What is the restoring force in SHM?

Back

The restoring force in SHM is the force that brings the object back to its equilibrium position, typically proportional to the displacement and directed towards the equilibrium.

Front

How does a pendulum demonstrate SHM?

Back

A pendulum exhibits SHM when it swings back and forth around its lowest point, with the restoring force being the gravitational force acting on the mass.

Front

When does a mass-spring system have maximum potential energy?

Back

A mass-spring system has maximum potential energy at the maximum displacement (amplitude) from the equilibrium position.

Front

When does a mass-spring system have maximum kinetic energy?

Back

A mass-spring system has maximum kinetic energy at the equilibrium position, where the speed of the mass is greatest.

Front

What is the spring constant (k)?

Back

The spring constant (k) is a measure of the stiffness of a spring, defined by Hooke's Law: F = kx, where F is the force applied and x is the displacement.