In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum’s pendulum, the 110 kg bob swings from a 15.8-m-long cable with an amplitude of 5.0°.a. What is the period of this pendulum?b. What is the bob’s maximum speed?c. What is the pendulum’s maximum kinetic energy?d. When the bob is at its maximum displacement, how much higher is it than when it is at its 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.
In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum’s pendulum, the 110 kg bob swings from a 15.8-m-long cable with an amplitude of 5.0°.
a. What is the period of this pendulum?
b. What is the bob’s maximum speed?
c. What is the pendulum’s maximum kinetic energy?
d. When the bob is at its maximum displacement, how much higher is it than when it is at its equilibrium position?
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I would like to know if you can break down step 2 part b
I know it has to do with some trigonometry, but how do you set up the equation? Like can you do a free body diagram, and explain a little bit more detail?
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