10 Questions
What is the equation for displacement in Simple Harmonic Motion (SHM)?
$x(t) = A\cos(\omega t)$
What is the equation for velocity in Simple Harmonic Motion (SHM)?
$v(t) = -\omega A\sin(\omega t)$
What is the equation for acceleration in Simple Harmonic Motion (SHM)?
$a(t) = -\omega^2 x(t)$
What does the minus sign in the restoring force equation indicate?
The direction of the restoring force is always opposite to the displacement.
What does a larger spring constant ($k$) indicate in a spring-mass system?
Higher stiffness and higher frequency of oscillation.
What is the relationship between the spring constant ($k$) and the frequency of oscillation in a spring-mass system?
The larger the spring constant, the higher the frequency of oscillation
In Simple Harmonic Motion (SHM), what does the equation for displacement, $x(t) = A ext{cos}( heta t)$, represent?
The position of the particle at time $t$ in terms of amplitude and angular frequency
What is the relationship between velocity and displacement in Simple Harmonic Motion (SHM)?
Velocity is maximum when displacement is zero
What does the restoring force equation, $F = -kx$, indicate about the force in a spring-mass system?
The force is always directed opposite to the displacement
What does an increase in angular frequency ($ heta$) indicate about a simple harmonic oscillator?
The oscillator has a higher frequency of oscillation
Test your understanding of determining velocity and acceleration in Simple Harmonic Motion (SHM) with this quiz. The quiz covers calculating linear velocity and acceleration, as well as recognizing the relationship between displacement, velocity, and acceleration in SHM equations.
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