# A2 4.3 Simple Harmonic Motion

10 Questions | Total Attempts: 315  Settings Create your own Quiz Quick quiz on the basic ideas about SHM

• 1.
When an object is oscillating with SHM, its motion through the equilibrium position can best be described by:-
• A.

Zero amplitude, maximum acceleration

• B.

Zero acceleration, maximum speed

• C.

Zero displacement, maximum displacement

• D.

Zero acceleration, maximum amplitude

• E.

Zero velocity, maximum speed

• 2.
A student looking after his twin baby sisters, Mary and Jane, decides to take them to the swings. Each swing has a time period of 3.2s. He releases Mary from an amplitude of 1.2m just 0.8s before he releases Jane from an amplitude of 1.0m. Which of the following is true when Mary is at maximum amplitude:-
• A.

Jane is moving slower than Mary

• B.

They have a phase difference of pi and a separation of 1.2m

• C.

They have a phase difference of pi and a separation of 1.0m

• D.

They have a phase difference of pi/2 and a separation of 1.2m

• E.

They have a phase difference of pi/2 and a separation of 1.0m

• 3.
A pendulum is set in motion from rest at t=0 with a displacement of 1.5cm and a time period of 2.0s.Which of the following is true about the motion:-
• A.

It has a frequency of 2Hz and a maximum acceleration of 0.15m/s2

• B.

It has a frequency of 2Hz and a maximum acceleration of 0.047m/s2

• C.

It has a frequency of 0.5Hz and a maximum acceleration of 0.047m/s2

• D.

It has a frequency of 0.5Hz and a maximum acceleration of 0.047m/s2

• E.

It has a frequency of 0.5Hz and a maximum acceleration of 0.15m/s2

• 4.
A mass oscillating on a spring completes 20 oscillations in 16s. If its amplitude is 2.2cm which of the following is true?
• A.

Frequency 1.25Hz, maximum acceleration 0.17m/s2

• B.

Frequency 1.25Hz, maximum acceleration 1.4m/s2

• C.

Frequency 1.25Hz, maximum acceleration 7.9m/s2

• D.

Frequency 0.8Hz, maximum acceleration 0.11m/s2

• E.

Frequency 1.25Hz, maximum acceleration 0.56m/s2

• 5.
An oscillating system's displacement x/mm is described by the equation x=7 Sin( 8t ) Which of the following statements are true about the motion?
• A.

Frequency 8Hz, maximum acceleration 56mm/s2

• B.

Frequency 8Hz, maximum acceleration 64mm/s2

• C.

Frequency 1.3Hz, maximum acceleration 448mm/s2

• D.

Frequency 1.3Hz, maximum acceleration 56mm/s2

• E.

Frequency 2.6Hz, maximum acceleration 64mm/s2

• 6.
An oscillating spring has its displacement x/mm described by the equation x = 4 cos ( 5t )After 0.5s its displacement and acceleration are:-
• A.

X = -3.2mm; a = 80mm/s2

• B.

X = 3.2mm; a = 80mm/s2

• C.

X = -3.2mm; a = -80mm/s2

• D.

X = 3.2mm; a = -80mm/s2

• E.

X = 3.2mm; a = -16mm/s2

• 7.
A spring stretches 50mm when a mass of 0.15kg is hung from it (g = data sheet). The spring is extended a further 15mm and released. Its Time Period and maximum acceleration are :-
• A.

T = 14.2s; a = 2.9mm/s2

• B.

T = 14.2s; a = 76mm/s2

• C.

T = 2.8s; a = 2.9mm/s2

• D.

T = 2.8s; a = 76mm/s2

• E.

T = 0.35s; a = 2.9mm/s2

• 8.
A pendulum of length 5.8m is displaced by 23cm and released (g = data sheet). The frequency and maximum speed of the subsequent motion are:-
• A.

F = 0.21Hz; v = 30m/s

• B.

F = 0.12Hz; v = 30m/s

• C.

F = 0.21Hz; v = 0.30m/s

• D.

F = 0.12Hz; v = 0.30m/s

• E.

F = 0.12Hz; v = 0.18m/s

• 9.
An oscillating system loses energy to the surroundings and returns to its equilibrium position in the shortest possible time. The best description of this system is:-
• A.

Over Damping

• B.

Heavy Damping

• C.

Light Damping

• D.

Critical Damping

• E.

Chronic Damping

• 10.
There is a maximum amplitude during resonance of any system because:-
• A.

The ideal driving frequency is just below the natural frequency

• B.

The natural frequency is just below the ideal driving frequency

• C.

The energy absorbed each oscillation = the energy lost each oscillation

• D.

The energy absorbed each oscillation depends on the damping of the system

• E.

The energy lost each oscillation depends on the damping of the system

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