(a)
Complete the table by adding the correct key terms to the definitions.
Definition
Key Term
The time interval for one complete oscillation
The distance of a point on a wave from its equilibrium position
The number of oscillations per second
The repetitive variation with time of the displacement of an object about its equilibrium position
The maximum value of displacement from the equilibrium position
The oscillations of an object have a constant period
[3]
Assess your score
View Answer
The graph shows the displacement of an object with time.
(b)
On the graph, label the following:
(i)
the time period T
[1]
(ii)
the amplitude x0
[1]
Assess your score
View Answer
An object oscillates isochronously with a frequency of 0.4 Hz.
(c)
Calculate the period of the oscillation.
[1]
Assess your score
View Answer
The graph shows the oscillations of two different waves.
(d)
For the two oscillations, state:
(i)
The phase difference in terms of wavelength λ , degrees and radians.
[3]
(ii)
Whether the oscillations are in phase or in anti-phase.
[1]
Assess your score
View Answer
Next Question
(a)
Fill in the blank spaces with a suitable word.
Objects in simple harmonic motion ____________ about an equilibrium point. The restoring force and ___________ always act toward the equilibrium, and are ____________ to ____________, but act in the opposite direction.
[3]
Assess your score
View Answer
Hooke's law can be used to describe a mass-spring system performing simple harmonic oscillations. Hooke's Law states that;
F = −kx
(b)
State the definition of the following variables and an appropriate unit for each:
Assess your score
View Answer
The graph shows the restoring force on a bungee cord.
(c)
Identify the quantity given by the gradient, where F = − kx
[1]
Assess your score
View Answer
(d)
For an object in simple harmonic motion:
(i)
State the direction of the restoring force in relation to its displacement
[1]
(ii)
State the relationship between force and displacement
[1]
Assess your score
View Answer
Previous Question Next Question
An object oscillates in simple harmonic motion. The graph shows the variation of displacement with time. The object starts from the equilibrium position when time t = 0.
(a)
For this object:
(i)
Describe the shape of the displacement-time graph
[1]
(ii)
Outline how the shape of the graph would change if the oscillation was measured from amplitude x0
[2]
Assess your score
View Answer
(b)
Identify the correct v-t graph for the oscillation of the object in the x-t graph from part (a)
[1]
Assess your score
View Answer
(c)
Identify the correct a-t graph for the oscillation of the object in the x-t graph from part (a)
[1]
Assess your score
View Answer
(d)
State the phase difference in radians between the displacement-time graph from part (a) and the correct velocity-time graph from part (b)
[2]
Assess your score
View Answer
Previous Question Next Question
(a)
Define the term 'total energy' for a system oscillating in simple harmonic motion.
[1]
Assess your score
View Answer
The graph shows the potential energy EP , kinetic energy EK and total energy ET of a system in simple harmonic motion.
(b)
Add the following labels to the correct boxes on the graph:
[3]
Assess your score
View Answer
The diagram indicates the positions of a simple pendulum in simple harmonic motion.
(c)
Identify the position of the pendulum when:
(i)
Kinetic energy is zero
[1]
(ii)
Potential energy is at a maximum
[1]
(iii)
Kinetic energy is at a maximum
[1]
(iv)
Potential energy is zero
Assess your score
View Answer
The period of the oscillation shown in part (c) is 2.2 s.
(d)
Calculate the frequency of the oscillation
[2]
Assess your score
View Answer
Previous Question Next Question
A mass-spring system oscillates with simple harmonic motion. The graph shows how the potential energy of the spring changes with displacement.
(a)
For the mass-spring system, determine:
(i)
The maximum potential energy
[1]
(ii)
The total energy
[1]
Assess your score
View Answer
(b)
Using the graph in part (a), determine:
(i)
The amplitude x0 of the oscillation
[1]
(ii)
The potential energy in the spring when the displacement x = 0.1 m
[1]
Assess your score
View Answer
The block used in the same mass-spring system has a mass m of 25 g. The maximum kinetic energy of the block is 40 mJ.
(c)
Calculate the maximum velocity of the oscillating block
[4]
Assess your score
View Answer
The spring constant k of the spring used is 1.8 N m−1
(d)
Calculate the restoring force acting on the mass-spring system at amplitude x0
[2]
Assess your score
View Answer
Previous Question