Lecture15
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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.
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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.
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.
Free study calculation of inertia
This document provides an overview of moment of inertia and related concepts in solid mechanics and dynamics. It covers angular motion, moment of inertia, radius of gyration, Newton's second law as applied to rotating bodies, inertia torque, and angular kinetic energy. The key points are:
- Moment of inertia describes an object's resistance to changes in angular motion based on its mass distribution. It depends on both mass and how far the mass is from the axis of rotation.
- For a plain disc, the moment of inertia is MR^2/2, where M is mass and R is the radius. The radius of gyration for a plain disc is R/√2.
- Newton's second law can
Chapter11_1-6_FA05.ppt
1. Rotational dynamics involves quantities like moment of inertia (I), which relates torque and angular acceleration, and angular momentum (L), which is conserved in the absence of torque.
2. Rotational motion can be described using equations analogous to linear motion, with position, velocity, acceleration, force, and energy having rotational analogs involving angle, angular velocity, angular acceleration, torque, and kinetic energy.
3. Problems can be solved using concepts like conservation of energy and angular momentum, by writing equations for rotational motion and setting quantities equal between initial and final situations.
Rotational dynamics ppt2
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.
Lecture Ch 08
This document discusses rotational motion and provides definitions and equations for key angular quantities such as angular displacement (θ), angular velocity (ω), angular acceleration (α), torque (τ), moment of inertia (I), angular momentum (L), and rotational kinetic energy. It defines these quantities, gives their relationships to linear motion quantities, and provides examples of how to set up and solve problems involving rotational dynamics.
Dynamics.ppt
The document discusses concepts related to dynamics and relativity including:
1) Newton's laws of motion and forces such as gravity, tension, and friction. Simple harmonic motion and circular motion are also covered.
2) Key concepts in dynamics like position, velocity, acceleration, and their relationships are defined. Equations of motion for 1D and 2D are presented.
3) Projectile motion under gravity is modeled. Relative velocity in 2D frames of reference is discussed.
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.
Aieee Physics 2004
This document contains 57 physics questions from an AIEEE past paper from 2004. Each question has 4 multiple choice answers. The questions cover topics in mechanics, properties of matter, heat and thermodynamics, waves and sound, electricity and magnetism, optics and modern physics.
physics Mechanics.ppt
This document summarizes a physics lecture on rotational motion. It discusses rotational kinetic energy, moment of inertia, torque, and Newton's second law for rotational motion. Key concepts covered include:
- Rotational kinetic energy depends on the moment of inertia and angular speed.
- Moment of inertia depends on the mass and how it is distributed relative to the axis of rotation.
- Torque is a measure of the ability of a force to cause rotational motion and depends on the magnitude and direction of the applied force relative to the axis of rotation.
- Newton's second law for rotational motion states that torque is equal to the moment of inertia times angular acceleration.
ROTATIONAL-MOTIONELASTICITY-PLASTICITYOSCILATIONS (1).pptx
The document discusses tension formula, rotational motion, torque, rotational kinetic energy, elasticity, plasticity, Hooke's law, and simple pendulums. It provides formulas for calculating tension, rotational kinematics, torque, rotational kinetic energy, elastic modulus, Hooke's law, and the period of a simple pendulum. It also includes example problems and solutions for some of the formulas.
7. Springs In Series And Parallel K 1 K
1. The document discusses simple harmonic motion and elasticity. It provides 10 examples solving problems related to springs, pendulums, simple harmonic oscillators, and periodic motion.
2. Key concepts covered include springs in series and parallel, reduced mass of coupled oscillators, conservation of mechanical energy, and using restoring force to determine angular frequency and time period of oscillations.
3. Various examples solve for time periods of physical pendulums, springs, particles oscillating due to gravity, and coupled oscillators. Restoring force and energy methods are applied.
Circular motion
1. Circular motion involves an object moving in a circular path at a constant speed. Centripetal force is required to cause an object to travel in a circular path and undergo centripetal acceleration towards the center.
2. Key concepts of circular motion include: angular velocity, linear velocity, centripetal acceleration, centripetal force, period and frequency. Formulas relate these concepts, such as v=rw, a=v^2/r.
3. Examples of circular motion include planets orbiting the sun, electrons orbiting an atom's nucleus, objects on the end of a string being swung in a circle. Applications involve calculating speeds, tensions, and accelerations in situations like a t
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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.
Lect27 handout
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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Lect25 handout
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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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Lecture15
- 11. Tension… T 1 < T 2 since T 2 – T 1 = m 2 a. It takes force to accelerate block 2. m3 F T 2 > T 1 since RT 2 – RT 1 = I 2 . It takes force (torque) to accelerate the pulley. Compare the tensions T 1 and T 2 as the blocks are accelerated to the right by the force F. A) T 1 < T 2 B) T 1 = T 2 C) T 1 > T 2 Compare the tensions T 1 and T 2 as block 3 falls A) T 1 < T 2 B) T 1 = T 2 C) T 1 > T 2 m2 m1 T 1 T 2 m 3 m 1 m 2 T 1 T 2
Editor's Notes
- 1
- Take Eric’s version
- Transparency?
- Careful to point out the different R’s that exist. R for pulley where rope is attached, and r for wheel, which is hidden in I.
- This confused students because there are two different R’s R for pulley, and r for the flywheel.
- Finish up
- Give 4 lines from podium showing derivation and result.