A vertical spring stretches 9.6 cm when a 4.9 kg block is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 2.9 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum speed of the resulting SHM. (a) Number i 439 Units N/m (b) Number i 0.664 Units (c) Number 1.50 Units Hz (d) Number i 2.90 Units This answer has no units (e) Number 0.274 Units m/s
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 vertical spring stretches 9.6 cm when a 4.9 kg block is hung from its end. (a) Calculate the spring constant. This block is then
displaced an additional 2.9 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum
speed of the resulting SHM.
(a) Number
i
439
Units
N/m
(b) Number
i
0.664
Units
(c) Number
1.50
Units
Hz
(d) Number
i
2.90
Units
This answer has no units
(e) Number
0.274
Units
m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee46837e-594a-482d-aa62-70abf6e5e7ba%2Fa23026fb-c17a-4269-bc9f-89580c261918%2Fp966va5_processed.jpeg&w=3840&q=75)
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