10 Questions
Define simple harmonic motion (SHM) and explain the condition for an oscillation to be considered as SHM.
Simple harmonic motion (SHM) is an oscillation where the restoring force is directly proportional to the displacement from equilibrium. An oscillation can be considered as SHM if the restoring force is directly proportional to displacement and the motion is periodic.
What is the relationship between time period (T) and angular frequency (ω) in simple harmonic motion?
The relationship between time period (T) and angular frequency (ω) in simple harmonic motion is T = 2π/ω.
What is the formula for frequency (f or ν) in simple harmonic motion?
The formula for frequency (f or ν) in simple harmonic motion is f (or ν) = 1/T.
According to Hook's law, what is the relationship between the force (F) and displacement (x) of a spring?
According to Hook's law, the force (F) is directly proportional to the displacement (x) of a spring.
What is the formula for the force (F) exerted by a spring in simple harmonic motion?
The formula for the force (F) exerted by a spring in simple harmonic motion is F = -kx.
Match the following variables with their definitions in the context of simple harmonic motion:
F = The force exerted by a spring x = The displacement of the mass from the equilibrium position k = The spring constant, a measure of the stiffness of the spring T = The time period of one complete oscillation
Match the following conditions with the corresponding situations in simple harmonic motion:
F ∝ x = When the spring is extended F ∝ -x = When the spring is compressed ν = 1/T = Relationship between frequency and time period ω = 2π/T = Relationship between angular frequency and time period
Match the following terms with their explanations in the context of simple harmonic motion:
Equilibrium position = The unstretched length of the spring Oscillation = Back and forth motion of the mass Simple harmonic motion = When the restoring force is directly proportional to displacement from equilibrium Frequency = Number of complete oscillations per unit time
Match the following formulas with their corresponding variables in the context of simple harmonic motion:
F = -kx = Force exerted by a spring ν = 1/T = Frequency T = 2π/ω = Time period F ∝ x = Proportional relationship between force and displacement
Match the following aspects with their roles in simple harmonic motion:
Spring = Provides the restoring force Mass = Experiences the oscillation Equilibrium position = The starting point of the oscillation Displacement = Determines the magnitude and direction of the force
Test your knowledge of simple harmonic motion and oscillations in this quiz. Learn about the restoring force, equilibrium position, and displacement of a mass attached to a spring.
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