A 10.0-kg mass is traveling to the right with a speed of 2.00 m/s on a frictionless horizontal surface when it collides with and sticks to a second 10.0-kg mass that is initially at rest but is attached to a light spring that is neither stretched nor compressed with a force constant 80.0 N/m. The system undergoes SHM. A) Find the frequency, amplitude, the period of the subsequent oscillations and the phase angle. B) Find the maximum and minimum velocities and acceleration attained by the oscillating system C) How long does it take the system to return the first time to the position it had immediately after the collision? D) Write the equations for the displacement, velocity, and acceleration of the system as function of time
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
6) A 10.0-kg mass is traveling to the right with a speed of 2.00 m/s on a frictionless horizontal surface when it collides
with and sticks to a second 10.0-kg mass that is initially at rest but is attached to a light spring that is neither
stretched nor compressed with a force constant 80.0 N/m. The system undergoes
amplitude, the period of the subsequent oscillations and the phase angle. B) Find the maximum and minimum
velocities and acceleration attained by the oscillating system C) How long does it take the system to return the first
time to the position it had immediately after the collision? D) Write the equations for the displacement, velocity, and
acceleration of the system as function of time
Trending now
This is a popular solution!
Step by step
Solved in 7 steps
