Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

Physics6 Further Mechanics > SHM > Flashcards

SHM Flashcards

1
Q

What is simple harmonic motion (SHM)?

A

SHM is a type of periodic motion where an object oscillates about an equilibrium position with a restoring force proportional to its displacement.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

True or False: In SHM, the acceleration is always directed towards the equilibrium position.

A

True

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What is the formula for the restoring force in SHM?

A

F = -kx, where F is the restoring force, k is the spring constant, and x is the displacement from equilibrium.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Fill in the blank: The period of SHM is defined as the time taken for one complete ______.

A

oscillation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What is the relationship between frequency and period in SHM?

A

Frequency (f) is the reciprocal of the period (T), so f = 1/T.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What is the unit of frequency?

A

Hertz (Hz)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

How is the maximum speed (v_max) in SHM calculated?

A

v_max = ωA, where ω is the angular frequency and A is the amplitude.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

What does the symbol ‘A’ represent in the context of SHM?

A

A represents the amplitude, which is the maximum displacement from the equilibrium position.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

True or False: The total mechanical energy in SHM remains constant.

A

True

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What is the formula for the angular frequency (ω) in SHM?

A

ω = 2πf or ω = √(k/m) for a mass-spring system.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

In SHM, what happens to the speed of the object as it moves towards the equilibrium position?

A

The speed increases as it approaches the equilibrium position.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

What type of graph represents displacement vs. time for SHM?

A

A sinusoidal graph.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Fill in the blank: The acceleration in SHM is given by the equation a = -______.

A

ω²x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

What is the phase constant in SHM?

A

The phase constant determines the starting position of the oscillating object at t=0.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

How does damping affect SHM?

A

Damping reduces the amplitude of oscillations over time.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is the effect of increasing the mass on the period of a mass-spring system in SHM?

A

Increasing the mass increases the period.

17
Q

Multiple Choice: Which of the following does NOT affect the period of a simple pendulum? A) Length of the pendulum B) Mass of the bob C) Acceleration due to gravity

A

B) Mass of the bob

18
Q

What is the formula for the period (T) of a simple pendulum?

A

T = 2π√(L/g), where L is the length and g is the acceleration due to gravity.

19
Q

True or False: In a spring-mass system, the period is independent of the amplitude.

A

True

20
Q

What is the relationship between the potential energy and kinetic energy in SHM?

A

The total mechanical energy is the sum of potential energy and kinetic energy, which remains constant.

21
Q

Fill in the blank: The potential energy in SHM is given by the equation PE = ______.

A

1/2 kx²

22
Q

What type of motion occurs when SHM is subjected to a periodic driving force?

A

Forced oscillation.

23
Q

How does resonance occur in a system undergoing SHM?

A

Resonance occurs when the frequency of the driving force matches the natural frequency of the system.

24
Q

What is the significance of the natural frequency in SHM?

A

It is the frequency at which a system oscillates when not subjected to any external force.

25
Q

Multiple Choice: In SHM, which quantity is always zero at the equilibrium position? A) Displacement B) Velocity C) Acceleration

A

A) Displacement

26
Q

What is the effect of increasing the spring constant (k) on the frequency of SHM?

A

Increasing the spring constant increases the frequency.

27
Q

Fill in the blank: The total mechanical energy in SHM can be expressed as E = ______.

A

1/2 kA²

28
Q

What are the two main types of damping in SHM?

A

Under-damping and over-damping.

29
Q

True or False: In SHM, the object moves faster at the extremes than at the equilibrium position.

A

False

30
Q

What is the condition for a system to exhibit simple harmonic motion?

A

The net force acting on the object must be proportional to its displacement and directed towards the equilibrium position.

Physics6 Further Mechanics (1 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions