(Solve the question as a homework which means please give details and explanation of each step) A 1.4 kg mass is attached to a horizontal spring on the top of a table. The mass is pulled 12 cm from the equilibrium position and released. [Friction is negligible] It then undergoes simple harmonic motion making 2.2 oscillations each second. Determine: d) the maximum acceleration of the mass (and indicate where this occurs) e) the maximum velocity of the mass (and indicate where this occurs) f) the acceleration of the mass when it is 7 cm from the equilibrium position
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.
![(Solve the question as a homework which means please give details and explanation of each step) A 1.4 kg mass is attached to a
horizontal spring on the top of a table. The mass is pulled 12 cm from the equilibrium position and released. [Friction is negligible] It
then undergoes simple harmonic motion making 2.2 oscillations each second. Determine:
d) the maximum acceleration of the mass (and indicate where this occurs)
e) the maximum velocity of the mass (and indicate where this occurs)
f) the acceleration of the mass when it is 7 cm from the equilibrium position](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2bc2681-9e37-483b-a695-9500747954de%2F0dab55a2-6e3e-4201-a723-78041850f7b0%2Fq1fk866_processed.jpeg&w=3840&q=75)
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