A student attaches a block to a horizontal spring so that the block-spring system will oscillate if the block-spring system is released from rest at a horizontal position that is not the system’s equilibrium position. The oscillatory motion of the system is described by the graph of the block’s acceleration as a function of time. An identical experiment is conducted except that a new spring is used that has a spring constant that is twice the value of that of the original spring. Which two of the following predictions are correct about the system when it undergoes simple harmonic motion? Select two answers. Group of answer choices The amplitude of oscillation will be increased by a factor of 2. The maximum acceleration of the system will be 10 m/s2. The period of oscillation for the system will be nearly 5.7 s. The maximum spring potential energy of the system will be increased by a factor of 4.
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.
A student attaches a block to a horizontal spring so that the block-spring system will oscillate if the block-spring system is released from rest at a horizontal position that is not the system’s equilibrium position. The oscillatory motion of the system is described by the graph of the block’s acceleration as a function of time. An identical experiment is
The maximum acceleration of the system will be 10 m/s2.
The period of oscillation for the system will be nearly 5.7 s.
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