Grandfather clocks are designed so they can be adjusted by moving the weight at the bottom of the pendulum up or down. Suppose you have a grandfather clock at home that runs slow by 6 seconds per minute, or 10%. Which of the following adjustment(s) would make it more accurate? (This is a multi-select question. You may select one or more options.)
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.
![Grandfather clocks are designed so they can be adjusted by moving the weight at the bottom of the pendulum up or down. Suppose you have a grandfather clock at home that runs
slow by 6 seconds per minute, or 10%. Which of the following adjustment(s) would make it more accurate? (This is a multi-select question. You may select one or more options.)
O Decrease the amplitude of swing by 10%.
Decrease the length of the pendulum to approximately (0.9)2 times the original length.
Take away mass from the weight because the period is inversely proportional to square root of the mass.
Increase the length of the pendulum to approximately (1.1)2 times the original length.
Add more mass to the weight because the period is proportional to square root of the mass.
Increase the amplitude of swing by 10%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc8e52c4-de61-4660-8309-2c98ec96e370%2Fc6823daf-9a09-4bc7-b8c7-173d2eeb9635%2Fwjunjbj_processed.jpeg&w=3840&q=75)
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