SIMPLE HARMONIC MOTION

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.

• True
• False

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

• True
• False

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= 0.25m

  f= 0.64Hz

• A= 0.25m

  f= 0.4 Hz

• A=0.25cm

  f=0.64Hz

• A= 0.25m

  f= 0.064 Hz

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

• 0.34m

• 0.5 m

• 0.012m

• 0.012cm

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.

• x=3 cos (0.5t)

• x=3 sin (0.5t)

• x=0.3 sin (0.5t)

• x=0.3 cos (0.5t)

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

• 14.71m/s

• 3.142m/s

• 15.71m/s

• 5 m/s

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

• True
• False

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

• Length of the pendulum

• Mass of the pendulum bob

• Gravitational field strength

• Acceleration due to gravity

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

• It becomes four times as long

• It stays the same

• It halves

• It doubles

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

• At maximum displacement

• Halfway between equilibrium and maximum displacement

• At equilibrium position

• At the point it changes direction