Why is the velocity zero at the amplitude positions?

The object is temporarily stationary as it changes direction .

The acceleration of an object in SHM acts in the .......... direction to its displacement.

The acceleration of an object in SHM acts in the opposite direction to its displacement.

True or False? At the amplitude positions, an object in SHM has zero acceleration.

False. Acceleration has its greatest magnitude at the amplitude positions, where the restoring force is strongest. It is zero at equilibrium.

For SHM starting from maximum displacement , what are the starting values of displacement, velocity and acceleration?

Displacement: maximum Velocity: zero Acceleration: minimum

For SHM starting from the equilibrium position , what are the starting values of displacement, velocity and acceleration?

Displacement: zero Velocity: maximum Acceleration: zero

What curve is the displacement-time graph of SHM for each starting position?

Starting at maximum displacement: cosine curve Starting at equilibrium: sine curve

How can a velocity-time graph be produced from a displacement-time graph?

Plot the slope of the displacement-time graph against time. Plotting only the zeroes , maxima and minima gives enough information.

How do the frequencies of the displacement, velocity and acceleration graphs compare?

All three oscillate with the same frequency .

Plotting the slope of a velocity-time graph against time produces the .......... -time graph.

Plotting the slope of a velocity-time graph against time produces the acceleration -time graph.

True or False? Where the displacement-time graph has zero slope, velocity is at its maximum.

False. Velocity is the slope of the displacement-time graph, so a slope of zero means the velocity is zero .

AP®PhysicsCollege BoardPhysics 1: Algebra-BasedFlashcardsUnit 7: OscillationsRepresenting and Analyzing SHM

Representing and Analyzing SHM (College Board AP® Physics 1: Algebra-Based): Flashcards

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FrontFeatures of SHM
State the displacement at the key positions in SHM.
BackFeatures of SHM
Negative amplitude position: minimum value of $- A$
Equilibrium position: 0
Positive amplitude position: maximum value of $+ A$
BackFeatures of SHM
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FrontFeatures of SHM
State the velocity at the key positions in SHM.
BackFeatures of SHM
Either amplitude position: 0
Equilibrium, moving in the positive direction: maximum value of $+ v_{max}$
Equilibrium, moving in the negative direction: minimum value of $- v_{max}$
FrontFeatures of SHM
State the acceleration at the key positions in SHM.
BackFeatures of SHM
Negative amplitude position: maximum value of $+ a_{max}$
Equilibrium position: 0
Positive amplitude position: minimum value of $- a_{max}$

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Cards in this collection (15)

State the displacement at the key positions in SHM.
- Negative amplitude position: minimum value of $- A$
- Equilibrium position: 0
- Positive amplitude position: maximum value of $+ A$
State the velocity at the key positions in SHM.
- Either amplitude position: 0
- Equilibrium, moving in the positive direction: maximum value of $+ v_{max}$
- Equilibrium, moving in the negative direction: minimum value of $- v_{max}$
State the acceleration at the key positions in SHM.
- Negative amplitude position: maximum value of $+ a_{max}$
- Equilibrium position: 0
- Positive amplitude position: minimum value of $- a_{max}$
Why is the velocity zero at the amplitude positions?
The object is temporarily stationary as it changes direction.
State the two equations for displacement in SHM.
$x = A cos (2 π f t)$
$x = A sin (2 π f t)$
- $x$ = position relative to equilibrium (m)
- $A$ = amplitude (m)
- $f$ = frequency (Hz)
- $t$ = time (s)
When is the cosine equation used rather than the sine equation for displacement?
- Cosine: when $t = 0$ s is defined at maximum displacement, such as a mass pulled aside and released
- Sine: when $t = 0$ s is defined at zero displacement, such as oscillations starting from equilibrium
The acceleration of an object in SHM acts in the .......... direction to its displacement.
The acceleration of an object in SHM acts in the opposite direction to its displacement.
True or False?
At the amplitude positions, an object in SHM has zero acceleration.
False.
Acceleration has its greatest magnitude at the amplitude positions, where the restoring force is strongest. It is zero at equilibrium.
For SHM starting from maximum displacement, what are the starting values of displacement, velocity and acceleration?
- Displacement: maximum
- Velocity: zero
- Acceleration: minimum
For SHM starting from the equilibrium position, what are the starting values of displacement, velocity and acceleration?
- Displacement: zero
- Velocity: maximum
- Acceleration: zero
What curve is the displacement-time graph of SHM for each starting position?
- Starting at maximum displacement: cosine curve
- Starting at equilibrium: sine curve
How can a velocity-time graph be produced from a displacement-time graph?
Plot the slope of the displacement-time graph against time. Plotting only the zeroes, maxima and minima gives enough information.
How do the frequencies of the displacement, velocity and acceleration graphs compare?
All three oscillate with the same frequency.
Plotting the slope of a velocity-time graph against time produces the ..........-time graph.
Plotting the slope of a velocity-time graph against time produces the acceleration-time graph.
True or False?
Where the displacement-time graph has zero slope, velocity is at its maximum.
False.
Velocity is the slope of the displacement-time graph, so a slope of zero means the velocity is zero.

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