(c) As the cart 1 moves from x to xo, is the magnitude of the acceleration of the cart increasing, decreasing, or constant? Briefly ex why. i. What force causes the cart to accelerate? ii. What is the relevant equation for determining this force? iii. What type of relationship does this equation show between the force and change in length of the spring? iv. What does this tell you about the acceleration of the cart?
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.
![(c) As the cart 1 moves from x to xa, is the magnitude of the acceleration of the cart increasing, decreasing, or constant? Briefly explain
why.
i. What force causes the cart to accelerate?
ii. What is the relevant equation for determining this force?
iii. What type of relationship does this equation show between the force and change in length of the spring?
iv. What does this tell you about the acceleration of the cart?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28ef3e0e-16a1-4f8e-816c-8f5ab2a1c917%2F328e667b-c7f5-42af-9100-5c9ab3fa7dab%2F4mr8oyd_processed.png&w=3840&q=75)
![V=0
Force
Cart I
Lab Set Up #1
Sensor
Mass - M
Xo
v=0
Lab Set Up #2
Force
Cart 2
Sensor
Mass -3.SM
In a physics lab student have two different setups. Each setup has a frictionless cart connect to an identical massless spring. For each trial
the springs are compressed against a force sensor mounted to the track. Each spring is compressed from the equilibrium position x, to the
compresses position x. When the released cart returns to position x, the spring is no longer in contact with the force sensor. The force
sensor is set to record force and time information.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28ef3e0e-16a1-4f8e-816c-8f5ab2a1c917%2F328e667b-c7f5-42af-9100-5c9ab3fa7dab%2Fex66b6_processed.png&w=3840&q=75)
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