Simple Harmonic Motion

The maximum displacement from equilibrium of a particle is 1 m and its maximum acceleration is

1.57 m s^-2. The period of the particle will be

• 1.25 s

• 0.63 s

• 0.20 s

• 5.03 s

If a simple harmonic oscillator has a displacement of 0.02 m and acceleration equal to 2.00 m s^-2, the angular frequency is equal to:

• 10.0 rad s^-1

• 0.10 rad s^-1

• 100 rad s^-1

• 1.00 rad s^-1

Given equation of SHM, x=0.34 cos 3000t where x in mm and t in second. The frequency is:

• 3000 Hz

• 3000/2π Hz

• 0.74/2π Hz

• 3000/π Hz

The amplitude and period in a SHM is 0.5 m and 0.4 s respectively. The equation of SHM will be:

• x=0.5 sin 5πt

• x=0.5 sin 4πt

• x=0.5 sin 2.5πt

• x=0.5 sin 0.8πt

Which of the following equation represent the displacement of SHM:

• x= A tan ωt

• x= A sin ωt

• x= A sin ωt cos kx

• x= A sin (ωt ± kx)

A force of  30 N stretches a very light ideal spring 0.73 m from equilibrium. What is the force constant (spring constant) of the spring?

• 41 N/m
• 22 N/m
• 34 N/m
• 46 N/m

A pendulum is 0.75 meters long and has a period of 4.17 seconds. The Pendulum is on an unknown planet.  What is the gravity of the Unknown Planet?

• 9.8
• 3.4
• 1.7
• Greater than 9.8

If the length of a simple pendulum is doubled, its period will: 

• halve 
• increase by a factor of sqrt(2) 
• decrease by a factor of sqrt(2)
• double 

What is the equation for frequency?

• f = t/n
• f = 1/T
• f = 2 T

For a system in simple harmonic motion, which of the following is the number of cycles or vibrations per unit of time?

• amplitude
• period
• frequency
• revolution