Lecture16
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Today's physics lecture covered angular momentum, including its definition as the product of the moment of inertia and angular velocity. Key concepts discussed include torque causing rotation, angular momentum being conserved when the net external torque is zero, and the right hand rule for determining the direction of angular momentum. Examples included two disks rotating together due to conservation of angular momentum, and a person on a stool changing their angular velocity and kinetic energy by pulling in their arms due to a change in moment of inertia.
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83. A solid cylinder of mass 2 kg and radius 0.1 m rolls without slipping down an inclined plane that makes an angle of 30° with the horizontal. If its initial speed is 5 m/s, find its angular speed and linear speed when it reaches the bottom of the plane.
84. A solid sphere of mass 2
ap-physc-m_rotational-dynamics-multiple-choice-slides_2017-01-16 (1).pptx
This document contains 40 multiple choice questions about rotational motion concepts in physics such as torque, moment of inertia, angular velocity, angular acceleration, and rotational dynamics. The questions cover topics like calculating angular quantities for rotating objects, analyzing systems in rotational equilibrium, and understanding conservation principles for collisions and rotational motion.
Lecture15
Physics 101 lecture will cover rotational kinematics and dynamics including torque, moment of inertia, and applying Newton's 2nd law to rotational motion. Examples discussed include balancing a hammer on a finger, using conservation of energy to solve for the time for a falling mass on a pulley, and determining the acceleration of an object rolling down an inclined plane by considering its translational and rotational motion separately.
Lecture15
Physics 101 lecture will cover rotational kinematics and dynamics including torque, moment of inertia, and applying Newton's 2nd law to rotational motion. Examples discussed include balancing a hammer on a finger, using conservation of energy to solve for the time for a falling mass on a pulley, and determining the acceleration of an object rolling down an inclined plane by considering its translational and rotational motion separately.
Lecture13
This document summarizes key concepts from a physics lecture on rotational kinetic energy and rotational inertia. It discusses that rotational kinetic energy is equal to one-half the moment of inertia multiplied by the angular velocity squared. The moment of inertia depends on the mass and distance from the axis of rotation, and describes how difficult it is to spin an object. The document provides examples of calculating rotational kinetic energy and moment of inertia for various objects.
Ch 7 Momentum
This document provides an overview of chapter 7 on impulse and momentum. It covers key topics like linear momentum, impulse, conservation of linear momentum, and elastic and inelastic collisions. The learning objectives are to understand impulse and momentum calculations, relate impulse to changes in momentum, apply conservation of linear momentum to collisions, and analyze collisions and explosions. It also includes sample problems and questions to illustrate these concepts.
Ch 9 Rotational Dynamics
This document summarizes key concepts from a chapter on rotational dynamics:
- It discusses rotational motion versus translational motion and defines torque as the cause of angular acceleration.
- Rigid objects in equilibrium are analyzed using the concepts of torque and center of gravity.
- Newton's second law is extended to rotational motion, defining moment of inertia and relating torque to angular acceleration.
- Several example problems demonstrate calculating torque, center of gravity, and rotational motion and equilibrium for various objects.
Newton's laws of motion 14 april 2015
Here are the steps to solve this problem:
a) Since the buckets are at rest, the tension in each cord must balance the weight of the bucket it supports. Therefore, the tension is 3.2 kg * 9.8 m/s2 = 31.36 N
b) Applying Newton's Second Law to each bucket:
Upper bucket: Tension - Weight = Mass * Acceleration
Tension - 3.2 kg * 9.8 m/s2 = 3.2 kg * 1.6 m/s2
Tension = 31.36 N + 3.2 * 1.6 = 35.2 N
Lower bucket: Tension - Weight = Mass * Acceleration
Tension - 3.
Work and Power NOTES.pptx
The document discusses different forms of energy including kinetic energy, potential energy, thermal energy, electrical energy, chemical energy, and nuclear energy. It provides equations for calculating kinetic energy and work. It introduces the concept of power as the rate at which work is done and provides the power equation. It also covers the law of conservation of energy and provides examples of how energy can transform between different forms but cannot be created or destroyed.
Ch 5 Uniform Circular Motion
This document discusses uniform circular motion and related concepts like centripetal acceleration and centripetal force. It covers topics like how radius, speed and acceleration are related in uniform circular motion; the direction of velocity and acceleration vectors; forces that cause an object to travel in a circular path like friction or the normal force on a banked curve; and applications involving objects moving in horizontal and vertical circles like cars on curved roads. The document contains learning objectives, definitions, examples, questions and sections on key ideas like centripetal acceleration, centripetal force and banked curves.
Mechanics Sh. 7 .pdf
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dyn-part3.ppt
CHAPTER 18
PLANAR KINETICS OF A RIGID BODY: WORK AND ENERGY (Sections 18.1-18.4)
Objectives:
a) Define the various ways a force and couple do work.
b) Apply the principle of work and energy to a rigid body.
APPLICATIONS
The work of the torque developed by the driving gears on the two motors on the mixer is transformed into the rotational kinetic energy of the mixing drum.
The work done by the compactor's engine is transformed into the translational kinetic energy of the frame and the translational and rotational kinetic energy of
its roller and wheels
2. Rotation: When a rigid body is rotating about a fixed axis passing through point O, the body has both translational and rotational kinetic energy:
T = 0.5m(vG)2 + 0.5IGw2
Since
vG = rGw, T = 0.5(IG + m(rG)2)w2 = 0.5IOw2
Ucm and gravitation by nabih
The document provides information about uniform circular motion and gravitation. It begins by defining uniform circular motion and describing it using polar coordinates and key terms like angular velocity and centripetal acceleration. It then discusses how centripetal force allows an object to travel in a circular path and maintains its speed. Finally, it introduces Newton's law of universal gravitation, defining gravitational force as directly proportional to the product of two masses and inversely proportional to the square of the distance between them.
gyroscope
The document discusses gyroscopes and their operation. It explains that a gyroscope uses angular momentum to detect or maintain orientation. It consists of a spinning mass mounted on an axle. Mechanical gyroscopes use a spinning mass mounted on gimbals, while electronic gyroscopes use a vibrating proof mass. Common applications include gyrocompasses, guidance systems, bicycles, and more. The document also discusses gyroscopic couples and their effects on ships, airplanes, and vehicles in terms of pitching, rolling, and steering movements.
rotationaldynamics-200509074915 (1).pdf
1) The document discusses rotational dynamics and provides analogies between linear and rotational motion. It covers topics like horizontal and vertical circular motion, moment of inertia, angular momentum, and rolling motion.
2) Applications of uniform circular motion discussed include a vehicle moving in a horizontal circular track, the well of death, and motion on a banked road. Expressions are derived for the maximum and minimum speeds in these cases.
3) Banking of roads helps provide the necessary centripetal force to keep vehicles on track while turning by tilting the road surface at an angle. The "safe speed" and banking angle formulas given allow designing roads and determining speed limits.
Rotational dynamics as per class 12 Maharashtra State Board syllabus
This ppt is as per class 12 Maharashtra State Board's new syllabus w.e.f. 2020. Images are taken from Google public sources and Maharashtra state board textbook of physics. Gif(videos) from Giphy.com. Only intention behind uploading these ppts is to help state board's class 12 students understand physics concepts.
Circular
This document provides information on circular motion and centripetal force. It defines key terms like centripetal acceleration, centripetal force, and tangential velocity. Formulas are given for centripetal acceleration (a=v2/r), centripetal force (Fc=mv2/r), and tangential velocity (v=2πr/T). Examples of circular motion under combined forces are given, including the conical pendulum, banked curves, and airplanes banking in turns. Vertical circular motion examples like elevators and rollercoasters are also discussed. The document concludes with information on satellite motion and orbits.
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ap-physc-m_rotational-dynamics-multiple-choice-slides_2017-01-16 (1).pptx
ap-physc-m_rotational-dynamics-multiple-choice-slides_2017-01-16 (1).pptx
Rotational dynamics as per class 12 Maharashtra State Board syllabus
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This document summarizes key concepts from a physics lecture on special relativity. It discusses how measurements of time, length, and simultaneity depend on the observer's inertial reference frame. The three main points are: 1) time dilation causes moving clocks to run slow relative to proper time in the rest frame; 2) length contraction makes moving objects appear shorter than their proper length; 3) whether two events occur simultaneously is frame-dependent. Examples are provided to illustrate time dilation, length contraction, and their consequences.
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1) Nuclear reactions conserve nucleon number, charge, and energy/momentum. Alpha particles are nuclei, beta particles are electrons, and gamma particles are high-energy photons.
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Lect24 handout
1) The Bohr model of the atom provides accurate predictions of electron energy levels but is not physically realistic, as electrons do not actually orbit the nucleus in defined orbits.
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The document summarizes some key aspects of quantum mechanics that were at odds with classical physics, including three early indications:
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Lecture16
- 4. Define Angular Momentum Momentum Angular Momentum p = mV L = I conserved if F ext = 0 conserved if ext =0 Vector Vector! units: kg-m/s units: kg-m 2 /s
Editor's Notes
- 1
- Note in example w/ hubs, energy was lost.