Chapters 11 and 14 Written Homework
Be sure to show all your work, particularly for odd–numbered
questions. If you end up looking at a solution please cite the
source of your information.
11 โ 10: A person of mass 75 ๐๐ stands at the center of a rotating merry–go–round
platform of radius 3.0 ๐ and moment of inertia 920 ๐๐ โ ๐2. The platform rotates
without friction with angular velocity 0.95 ๐๐๐/๐ . The person walks radially to
the edge of the platform.
a) Calculate the angular velocity when the person reaches the edge.
b) Calculate the rotational kinetic energy of the system of platform plus person
before and after the personโs walk
14 โ 30: a) At what displacement of a SHO (Simple Harmonic Oscillator) is the
mechanical energy half kinetic and half potential? B) What fraction of the total
mechanical energy of a SHO is kinetic and what fraction potential when the
displacement is one third the amplitude?
14 โ 43: A musician wishes to construct a metronome based on a simple pendulum
design where a โbeatโ is sounded when the bob reaches each opposite extreme of
its swing. (This means two beats are sounded for each cycle of the pendulum.)
How long must the pendulum be so that this metronome is set for 104 beats per
minute?
questions. If you end up looking at a solution please cite the
source of your information.
11 โ 10: A person of mass 75 ๐๐ stands at the center of a rotating merry–go–round
platform of radius 3.0 ๐ and moment of inertia 920 ๐๐ โ ๐2. The platform rotates
without friction with angular velocity 0.95 ๐๐๐/๐ . The person walks radially to
the edge of the platform.
a) Calculate the angular velocity when the person reaches the edge.
b) Calculate the rotational kinetic energy of the system of platform plus person
before and after the personโs walk
14 โ 30: a) At what displacement of a SHO (Simple Harmonic Oscillator) is the
mechanical energy half kinetic and half potential? B) What fraction of the total
mechanical energy of a SHO is kinetic and what fraction potential when the
displacement is one third the amplitude?
14 โ 43: A musician wishes to construct a metronome based on a simple pendulum
design where a โbeatโ is sounded when the bob reaches each opposite extreme of
its swing. (This means two beats are sounded for each cycle of the pendulum.)
How long must the pendulum be so that this metronome is set for 104 beats per
minute?
