Circular and Harmonic Motion

What is the formula for centripetal force?

• F = m * a * r

• F = m * g * r

• F = m * v^2 / r

• F = m * v * r

Define periodic motion and provide an example.

• The motion of a person walking in a circle

• Example: The motion of a pendulum swinging back and forth is an example of periodic motion.

• The motion of a ball rolling down a hill

• The motion of a car moving in a straight line

How is angular velocity defined?

• Speed of rotation in a circular motion

• Rate of change of angular displacement with respect to time

• The force exerted on an object in circular motion

• The distance traveled in a circular path

Explain the concept of a simple harmonic oscillator.

• A simple harmonic oscillator is a system that exhibits a linear oscillation about an equilibrium position.

• A simple harmonic oscillator is a system that exhibits a sinusoidal (sine or cosine) oscillation about an equilibrium position.

• A simple harmonic oscillator is a system that exhibits a parabolic oscillation about an equilibrium position.

• A simple harmonic oscillator is a system that exhibits a random oscillation about an equilibrium position.

What is damped harmonic motion?

• Damped harmonic motion is a type of motion where the amplitude of the oscillations is not affected by damping forces

• Damped harmonic motion is a type of motion where the amplitude of the oscillations decreases over time due to the presence of damping forces such as friction or air resistance.

• Damped harmonic motion is a type of motion where the amplitude of the oscillations increases over time

• Damped harmonic motion is a type of motion where the amplitude of the oscillations remains constant over time

State the relationship between centripetal force and velocity in circular motion.

• Centripetal force is not related to the velocity in circular motion.

• Centripetal force is directly proportional to the square of the velocity.

• Centripetal force is inversely proportional to the velocity in circular motion.

• Centripetal force is directly proportional to the velocity in circular motion.

What is the formula for the period of a pendulum?

• T = 2π(L/g)

• T = 2π√(g/L)

• T = 2π√(L/g)

• T = √(L/g)

Describe the motion of a mass-spring system in simple harmonic motion.

• The motion of a mass-spring system in simple harmonic motion is characterized by a sinusoidal pattern, with the object oscillating around the equilibrium position.

• The motion of a mass-spring system in simple harmonic motion is linear and follows a straight path.

• The motion of a mass-spring system in simple harmonic motion is chaotic and unpredictable.

• The motion of a mass-spring system in simple harmonic motion is characterized by a triangular pattern.

What factors affect the damping in a damped harmonic motion?

• Color of the object

• Mass of the object

• Viscosity of the medium, surface area of the object, and velocity of the object

• Temperature of the medium

Explain the concept of phase in simple harmonic motion.

• The phase in simple harmonic motion is the frequency of the object's oscillation.

• The phase in simple harmonic motion is the speed of the object at a specific point in its cycle.

• The phase in simple harmonic motion represents the position of an object at a specific point in its cycle, measured in radians.

• The phase in simple harmonic motion is the amplitude of the object's motion.