Oscillations & Waves

A solid sphere of mass 4kg and radius 0.05 m is suspended from a wire. What is the period of oscillation, if the torque required to twist the wire is  $4\times10^{-3}$  N-m/rad

• 6.28 sec

• 3.14 sec

• 9.8 sec

• 1.57 sec

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

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 

In any system in SHM, the restoring force acting on the mass in the system is proportional to

• the displacement

• the length of the pendulum

• the mass

• the frequency

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 acceleration of a particle in SHM is:

• always zero

• always constant

• maximum at amplitude

• maximum at the equilibrium position

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)

Tags

NGSS.HS-PS4-1

The displacement x, for a particle at time t in simple harmonic motion is given by the equation, x = 10 sin 20t where x is in meters and t is in seconds. Determine the displacement at t=10 s

• 91.3 m

• 8.73 m

• -91.3 m

• -8.73 m

Tags

NGSS.HS-PS4-1

Two simple harmonic oscillators of mass 12 gram and 48 gram oscillate separately under the action same restoring force. The ratio of their frequencies is

• 2:1

• 1:2

• 4:1

• 1:4