Physics 211 Textbook Examples
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Catégorie :Category: nCreator TI-Nspire
Auteur Author: acid
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 4.18 Ko KB
Mis en ligne Uploaded: 18/12/2024 - 23:42:43
Uploadeur Uploader: acidphoenix (Profil)
Téléchargements Downloads: 3
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4421188
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 4.18 Ko KB
Mis en ligne Uploaded: 18/12/2024 - 23:42:43
Uploadeur Uploader: acidphoenix (Profil)
Téléchargements Downloads: 3
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4421188
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
<<
Work and Power for Rotational Motion: A 12.0 N Å m torque is applied to a flywheel that rotates about a fixed axis and has a moment of inertia of 30.0 kg Å m^2 . If the flywheel is initially at rest, what is its angular velocity after it has turned through eight revolutions? A string wrapped around a pulley is pulled with a constant downward force F of magnitude 50N. The radius R is 0.10m and the inertia I is 2.5x10^-3kgm^2. If the string does not slip and the pulley starts from rest, what is the angular velocity of the pulley after 1.0m of string has unwound? A boat engine operating at 9.0x10^4W is running at 300rev/min. What is the torque on the propeller shaft? Rolling Motion: A solid cylinder rolls down an inclined plane without slipping, starting from rest. It has mass m and radius r. (a) What is its acceleration? (b) What condition must the static friction ¼s satisfy so the cylinder does not slip? A solid cylinder rolls down an inclined plane from rest and undergoes slipping. It has mass m and radius r. (a) What is its linear acceleration? (b) What is its angular acceleration about an axis through the center of mass? If a wheel with a radius of 25cm rolls without slipping down into the bottom of a basin 25m below, what is its velocity at the bottom of the basin if it has a mass of 5kg? Angular Momentum: A meteor enters Earth's atmosphere and is observed by someone on the ground. The vector r = 25kmi + 25kmj gives the position of the meteor with respect to the observer. When the observer sees the meteor, it has linear momentum p = 15.0kg(-2.0km/sj), and it is accelerating at a constant 2.0m/s^2(-j) along a straight line. (a) What is the angular momentum of the meteor about the origin?(The location of the observer) (b) What is the torque on the meteor about the origin? [v1=4.0jm/s, F1=-6.0iN, m1=2.0kg][v2=5.0im/s, F2=10.0jN, m2=4.0kg][v3=3.0im/s, F3=-8.0jN, m3=1.0kg] (a) Determine the total momentum due to the three particles about the origin. (b) What is the rate of change of the angular momentum? Which has greater angular momentum: a solid sphere of mass m rotating at a constant angular frequency w0 about the z-axis, or a solid cylinder of same mass and rotation rate about the z-axis? Conservation of Angular Momentum: A bullet of mass m=2.0g is moving horizontally with a speed of 500.0m/s. The bullet strikes and becomes embedded in the edge of a solid disk of mass M=3.2kg and radius R=0.5m. The cylinder is free to rotate around its axis and is initially at rest. What is the angular velocity of the disk immediately after the bullet is embedded? Precession of a Gyroscope: A gyroscope spins with its tip on the ground and is spinning with negligible frictional resistance. The disk of the gyroscope has mass 0.3kg and is spinning at 20rev/s. Its center of mass is 5.0cm from the pivot and the radius of the disk is 5.0cm. What is the precessional period of the gyroscope? Simple Harmonic Motion: A 2.0kg block is placed on a frictionless surface. A spring with a force constant k=32.00N/m is attached to the block, and the opposite end of the spring is attached to the wall. The spring can be compressed or extended. The equilibrium position is marked as x=0.0m Work is done on the block, pulling it out to x=+0.02m. The block is released from rest and oscillates between x=+0.02m and x=-0.02m. The period of the motion is 1.57s. Determine the equations of motion. Pendulums: What is the acceleration due to gravity in a region where a simple pendulum having a length 75cm has a period of 1.7357s? In extreme conditions skyscrapers can sway up to two meters with a frequency of up to 20Hz due to high winds. Several companies have developed physical pendulums that are placed on the top of skyscrapers. As the skyscraper sways to the right, the pendulum swings to the left, reducing the sway. Assuming the oscillations have a frequency of 0.5Hz, design a pendulum that consists of a long beam, of constant density, with a mass of 100metric tons and a pivot point at one end of the beam. What should the length of the beam be? A rod has a length L=0.3m and a mass of 4.0kg. A string is attached to the CM of the rod and the system is hung from the ceiling. The rod is displaced 10 degrees from the equilibrium position and released from rest. The rod oscillates with a period of 0.5s. What is the torsion constant k? Newton's Law of Universal Gravitation: Find the acceleration of the Milky Way due to the nearest comparably sized galaxy. The mass of each galaxy is 800 billion solar masses and are seperated by 2.5 million light-years. Each galaxy has a diameter of roughly 100000 light-years. (1 light-year=9.5x10^15m) Gravitation Near Earth's Surface: (a) Find the mass of Earth. (b) Estimate the value of g on the moon if it has a radius of 1700km and a density of 5500kg/m^3. What is the value of g 400km above the Earth's surface? How fasat would Earth need to spin for those at the equator to have zero apparant weight? How long would the le
[...]
>>
Compatible OS 3.0 et ultérieurs.
<<
Work and Power for Rotational Motion: A 12.0 N Å m torque is applied to a flywheel that rotates about a fixed axis and has a moment of inertia of 30.0 kg Å m^2 . If the flywheel is initially at rest, what is its angular velocity after it has turned through eight revolutions? A string wrapped around a pulley is pulled with a constant downward force F of magnitude 50N. The radius R is 0.10m and the inertia I is 2.5x10^-3kgm^2. If the string does not slip and the pulley starts from rest, what is the angular velocity of the pulley after 1.0m of string has unwound? A boat engine operating at 9.0x10^4W is running at 300rev/min. What is the torque on the propeller shaft? Rolling Motion: A solid cylinder rolls down an inclined plane without slipping, starting from rest. It has mass m and radius r. (a) What is its acceleration? (b) What condition must the static friction ¼s satisfy so the cylinder does not slip? A solid cylinder rolls down an inclined plane from rest and undergoes slipping. It has mass m and radius r. (a) What is its linear acceleration? (b) What is its angular acceleration about an axis through the center of mass? If a wheel with a radius of 25cm rolls without slipping down into the bottom of a basin 25m below, what is its velocity at the bottom of the basin if it has a mass of 5kg? Angular Momentum: A meteor enters Earth's atmosphere and is observed by someone on the ground. The vector r = 25kmi + 25kmj gives the position of the meteor with respect to the observer. When the observer sees the meteor, it has linear momentum p = 15.0kg(-2.0km/sj), and it is accelerating at a constant 2.0m/s^2(-j) along a straight line. (a) What is the angular momentum of the meteor about the origin?(The location of the observer) (b) What is the torque on the meteor about the origin? [v1=4.0jm/s, F1=-6.0iN, m1=2.0kg][v2=5.0im/s, F2=10.0jN, m2=4.0kg][v3=3.0im/s, F3=-8.0jN, m3=1.0kg] (a) Determine the total momentum due to the three particles about the origin. (b) What is the rate of change of the angular momentum? Which has greater angular momentum: a solid sphere of mass m rotating at a constant angular frequency w0 about the z-axis, or a solid cylinder of same mass and rotation rate about the z-axis? Conservation of Angular Momentum: A bullet of mass m=2.0g is moving horizontally with a speed of 500.0m/s. The bullet strikes and becomes embedded in the edge of a solid disk of mass M=3.2kg and radius R=0.5m. The cylinder is free to rotate around its axis and is initially at rest. What is the angular velocity of the disk immediately after the bullet is embedded? Precession of a Gyroscope: A gyroscope spins with its tip on the ground and is spinning with negligible frictional resistance. The disk of the gyroscope has mass 0.3kg and is spinning at 20rev/s. Its center of mass is 5.0cm from the pivot and the radius of the disk is 5.0cm. What is the precessional period of the gyroscope? Simple Harmonic Motion: A 2.0kg block is placed on a frictionless surface. A spring with a force constant k=32.00N/m is attached to the block, and the opposite end of the spring is attached to the wall. The spring can be compressed or extended. The equilibrium position is marked as x=0.0m Work is done on the block, pulling it out to x=+0.02m. The block is released from rest and oscillates between x=+0.02m and x=-0.02m. The period of the motion is 1.57s. Determine the equations of motion. Pendulums: What is the acceleration due to gravity in a region where a simple pendulum having a length 75cm has a period of 1.7357s? In extreme conditions skyscrapers can sway up to two meters with a frequency of up to 20Hz due to high winds. Several companies have developed physical pendulums that are placed on the top of skyscrapers. As the skyscraper sways to the right, the pendulum swings to the left, reducing the sway. Assuming the oscillations have a frequency of 0.5Hz, design a pendulum that consists of a long beam, of constant density, with a mass of 100metric tons and a pivot point at one end of the beam. What should the length of the beam be? A rod has a length L=0.3m and a mass of 4.0kg. A string is attached to the CM of the rod and the system is hung from the ceiling. The rod is displaced 10 degrees from the equilibrium position and released from rest. The rod oscillates with a period of 0.5s. What is the torsion constant k? Newton's Law of Universal Gravitation: Find the acceleration of the Milky Way due to the nearest comparably sized galaxy. The mass of each galaxy is 800 billion solar masses and are seperated by 2.5 million light-years. Each galaxy has a diameter of roughly 100000 light-years. (1 light-year=9.5x10^15m) Gravitation Near Earth's Surface: (a) Find the mass of Earth. (b) Estimate the value of g on the moon if it has a radius of 1700km and a density of 5500kg/m^3. What is the value of g 400km above the Earth's surface? How fasat would Earth need to spin for those at the equator to have zero apparant weight? How long would the le
[...]
>>
