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SIMPLE HARMONIC MOTION

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Simple harmonic motion or periodic motion is known as a motion in which a body moves back and forth over a fixed path, returning to each position and velocity after a definite interval of time.

a)
True
b)
False
2.

Amplitude is define as the pattern of disturbance cause by movement of energy through a medium

a)
True
b)
False
3.

The displacement of an object is described by the following equation: 

x = 0.25 cos 0.4t


Where x is in meters and t is in seconds. Determine the amplitude and frequency


a)

A= 0.25m

f= 0.64Hz

b)

A= 0.25m

f= 0.4 Hz

c)

A=0.25cm

f=0.64Hz

d)

A= 0.25m

f= 0.064 Hz

4.

An object with a mass of 0.5 kg is undergoing SHM on the end of a horizontal spring with a spring constant k = 400 N/m. When the object is 0.012 m from its equilibrium position, it is observed to have a speed of 0.34 m/s. Calculate the amplitude

a)

0.34m

b)

0.5 m

c)

0.012m

d)

0.012cm

5.

Given the Amplitude is 3.0 m, the angular velocity is 0.5 rad/s and T is 12.6 s.

The sinusoidal motion are starting from zero.             

Write the equation of displacement,x, as a function of time, t.

a)

x=3 cos (0.5t)

b)

x=3 sin (0.5t)

c)

x=0.3 sin (0.5t)

d)

x=0.3 cos (0.5t)

6.

Calculate the maximum velocity for this SHM
y=5 sin (3.142t)

a)

14.71m/s

b)

3.142m/s

c)

15.71m/s

d)

5 m/s

7.

A simple pendulum is swinging on Earth. The period of oscillation will decrease when its moved to a planet with stronger gravitational acceleration.

a)
True
b)
False
8.

Which factor does not affect the period of a simple pendulum (assuming small angles)?

a)

Length of the pendulum

b)

Mass of the pendulum bob

c)

Gravitational field strength

d)

Acceleration due to gravity

9.

What happens to the period of a pendulum if its length is quadrupled?

a)

It becomes four times as long

b)

It stays the same

c)

It halves

d)

It doubles

10.

When is the kinetic energy of a mass on a spring at its maximum during SHM?

a)

At maximum displacement

b)

Halfway between equilibrium and maximum displacement

c)

At equilibrium position

d)

At the point it changes direction