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What is periodic motion?
A motion that repeats itself after a regular interval of time.
What is the formula for frequency in periodic motion?
Frequency (f) is the number of oscillations per unit time, given in Hz.
How can displacement in periodic motion be represented?
Displacement can be represented by mathematical functions such as y(t) = A cos(wt) or y(t) = B sin(wt).
Define simple harmonic motion (SHM).
Simple harmonic motion is the simplest oscillatory motion where the restoring force is directly proportional to displacement and directed towards the mean position.
What is the relationship between force and displacement in SHM?
F = -kx, where k is the proportionality constant and x is the displacement.
What does amplitude (A) refer to in SHM?
Amplitude refers to the maximum displacement from the mean position.
How is velocity of a particle in SHM represented?
Velocity is given by V = Aω cos(ωt + φ).
What is the formula for acceleration in SHM?
Acceleration in SHM is represented as a = -ω²x.
What is total energy (T.E.) in SHM?
Total energy is the sum of kinetic energy and potential energy in SHM, given as T.E. = K.E. + P.E.
What is the condition for a simple pendulum to execute SHM?
The restoring force must be directly proportional to the displacement and directed towards the mean position.
How does angular frequency relate to the time period in SHM?
Angular frequency (ω) is related to the time period (T) by the formula ω = 2π/T.
What happens to the time period of a pendulum in an upward moving lift?
The time period decreases when the lift is moving upwards.
What is the formula for kinetic energy in SHM?
Kinetic energy in SHM is given by K.E. = 1/2 mv².
How is the total energy in SHM maintained?
Total energy is conserved in SHM, satisfying the law of conservation of energy.
What is the displacement of a particle executing SHM represented mathematically?
Displacement can be expressed as x(t) = A cos(ωt + φ).
What relationship describes potential energy in SHM?
Potential energy in SHM is expressed as P.E. = 1/2 kx².
Define the phase constant (φ) in SHM.
The phase constant represents the initial angle in the motion at time t=0.
What is the effect of a pendulum's length on its time period?
The time period is proportional to the square root of the pendulum's length (T = 2π √(l/g)).
What happens to the time period when the lift is freely falling?
When the lift is freely falling, the time period becomes infinite (T = ∞).
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