PROBLEM 5: THREE PENDULA Three pendula of equal mass m and equal string length l are su spended from the ceiling. The first pendulum is a solid sphere, the secon d pendulum is a hollow sphere, and the third pendulum is a small mass (which you can treat as a point mass).
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.
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PROBLEM 5: THREE PENDULA
1.
m
m
Three pendula of equal mass m and equal string length l are su spended from
the ceiling. The first pendulum is a solid sphere, the se con d pendulum is a hollow
sphere, and the third pendulum is a small mass (which you can treat as a point
mass).
HOMEWORK PROBLEMS FOR WEEK # 11
A) Which of the three pendula, if any will experien ce the largest torque (assume
angle of oscillation is the same for all three)?
B) Which pendulum, if any, will have the greatest oscill ation frequen cy?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F448d285c-e61e-464b-87b7-b0cab95f7d42%2Fb4479be7-1318-4547-bbf6-9c9e6884bb06%2Flregsx9_processed.jpeg&w=3840&q=75)
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