35. Hooke's Law Hooke's Law states that the force needed to keep a spring stretched x units beyond its natural length is directly proportional to x. Here the constant of proportional- ity is called the spring constant. (a) Write Hooke's Law as an equation. (b) If a spring has a natural length of 5 cm and a force of 30 N is required to maintain the spring stretched to a length of 9 cm, find the spring constant. (c) What force is needed to keep the spring stretched to a length of 11 cm? 5 cm
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.
Hooke’s Law Hooke’s Law states that the force needed to
keep a spring stretched x units beyond its natural length is
directly proportional to x. Here the constant of proportionality is called the spring constant.
(a) Write Hooke’s Law as an equation.
(b) If a spring has a natural length of 5 cm and a force of
30 N is required to maintain the spring stretched to a
length of 9 cm, find the spring constant.
(c) What force is needed to keep the spring stretched to a
length of 11 cm?
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