Oscillations Differential Equations

Which of the following statements about an object which performs simple harmonic motion is true?

• The acceleration is zero when the displacement is maximum.

• The velocity is maximum when the displacement is zero.

• The velocity is directly proportional to the displacement.

• The acceleration is positive when the displacement is positive.

A particles is in simple harmonic motion. When its displacement from a point O is x, the acceleration of the particle is -kx. The period T of the simple harmonic motion is

The variation with time t of the displacement x of a particle in simple harmonic motion form point O is given as x=5.0 sin 20t. What is the period of the simple harmonic motion?

• 0.050 s

• 0.20 s

• 0.22 s

• 0.31 s

Tags

NGSS.HS-PS4-1

A particle is in simple harmonic motion. The amplitude of the motion is 3.0 m and the frequency is 20 Hz. At time t=0, the displacement of the particle from the equillibrium position is x=+3.0 m. Which equation correctly represents the variation of displacement x with time t?

Tags

NGSS.HS-PS4-1

At the instant t₁, the displacement is 2.5 cm. What is the displacement 1.0 s after t₁?

• 0 cm

• -2.5 cm

• 2.5 cm

• 5.0 cm

• -10.0 cm  $s^{-2}$  

• +10.0 cm  $s^{-2}$  

• +17.3 cm  $s^{-2}$  

Tags

NGSS.HS-PS2-1

The graph shows the variation of displacement x against time t of a body in simple harmonic motion. Which statement is true?

• The period is 0.30 s.

• The angular frequency is 0.40 s^-1.

• The frequency is 2.5 Hz.

• The amplitude is 10.0 cm.

Tags

NGSS.HS-PS4-1

An object moves with simple harmonic motion with amplitude A. What is the position x of the object when the kinetic energy of the object equals twice its potential energy?

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

Tags

NGSS.HS-PS3-2

A particle is in simple harmonic motion of amplitude 5.0 cm and period of 2.4 s. At time t=0, it is at x= -5.0 cm. Write the equation to represent the variation of displacement x with time t. Please write $\pi$ as pi

Tags

NGSS.HS-PS4-1