Hints and Examples in Chapter 10

Slides:

Advertisements

Similar presentations

Rotational Kinematics

Advertisements

Chapter 8: Torque and Angular Momentum

Angular Momentum.

Review Problems From Chapter 10&11. 1) At t=0, a disk has an angular velocity of 360 rev/min, and constant angular acceleration of rad/s**2. How.

Angular Momentum The vector angular momentum of the point mass m about the point P is given by: The position vector of the mass m relative to the point.

MSTC Physics Chapter 8 Sections 3 & 4.

Chapter 11: Rolling Motion, Torque and Angular Momentum

Rotational Kinetic Energy Conservation of Angular Momentum Vector Nature of Angular Quantities.

Chapter 10 Rotational Motion

Physics 151: Lecture 20, Pg 1 Physics 151: Lecture 20 Today’s Agenda l Topics (Chapter 10) : çRotational KinematicsCh çRotational Energy Ch

Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lectures Hw: Chapter 15 problems and exercises.

Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lecture 37 Exam: from 6 pm to 8 pm.

Physics 106: Mechanics Lecture 06 Wenda Cao NJIT Physics Department.

Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lectures 24, 25 Hw: Chapter 15 problems and exercises.

Reading Quiz A particle is located in the xy-plane at a location x = 1 and y = 1 and is moving parallel to the +y axis. A force is exerted on the particle.

Classical Mechanics Review 4: Units 1-19

Rotational Kinetic Energy. Kinetic Energy The kinetic energy of the center of mass of an object moving through a linear distance is called translational.

Physics. Session Rotational Mechanics - 5 Session Objectives.

Work Let us examine the work done by a torque applied to a system. This is a small amount of the total work done by a torque to move an object a small.

Copyright © 2009 Pearson Education, Inc. Angular Momentum—Objects Rotating About a Fixed Axis The rotational analog of linear momentum is angular momentum,

Rotation and angular momentum

Chapter 11 Angular Momentum; General Rotation. Angular Momentum—Objects Rotating About a Fixed Axis Vector Cross Product; Torque as a Vector Angular Momentum.

Angular Momentum of a Particle

Chapter 11 Angular Momentum.

Chapter 8: Torque and Angular Momentum

Give the expression for the velocity of an object rolling down an incline without slipping in terms of h (height), M(mass), g, I (Moment of inertia) and.

Chapters 10, 11 Rotation and angular momentum. Rotation of a rigid body We consider rotational motion of a rigid body about a fixed axis Rigid body rotates.

Q10. Rotational Motion.

Day 9, Physics 131.

Chapter 10 - Rotation Definitions: –Angular Displacement –Angular Speed and Velocity –Angular Acceleration –Relation to linear quantities Rolling Motion.

Torque Chap 8 Units: m N 2.

AP Rotational Dynamics Lessons 91 and 94.  Matter tends to resist changes in motion ◦ Resistance to a change in velocity is inertia ◦ Resistance to a.

T071 Q17. A uniform ball, of mass M = kg and radius R = 0

Physics 201: Lecture 19, Pg 1 Lecture 19 Goals: Specify rolling motion (center of mass velocity to angular velocity Compare kinetic and rotational energies.

Physics 111 Practice Problem Statements 11 Angular Momentum SJ 8th Ed

ENGR 214 Chapter 17 Plane Motion of Rigid Bodies:

Conservation of Angular Momentum Dynamics of a rigid object

Physics 111 Practice Problem Statements 09 Rotation, Moment of Inertia SJ 8th Ed.: Chap 10.1 – 10.5 Contents 11-4, 11-7, 11-8, 11-10, 11-17*, 11-22, 11-24,

Example Problem The parallel axis theorem provides a useful way to calculate I about an arbitrary axis. The theorem states that I = Icm + Mh2, where Icm.

Rotation of Rigid Bodies

Physics 111 Practice Problem Statements 10 Torque, Energy, Rolling SJ 8th Ed.: Chap 10.6 – 10.9 Contents 11-47, 11-49*, 11-55*, 11-56, 11-60*, 11-63,

Chapter 10 Chapter 10 Rotational motion Rotational motion Part 2 Part 2.

Physics 1501: Lecture 19, Pg 1 Physics 1501: Lecture 19 Today’s Agenda l Announcements çHW#7: due Oct. 21 l Midterm 1: average = 45 % … l Topics çRotational.

Rotational Dynamics Chapter 8 Section 3.

The center of gravity of an object is the point at which its weight can be considered to be located.

9 rad/s2 7 rad/s2 13 rad/s2 14 rad/s2 16 rad/s2

Physics. Session Rotational Mechanics - 1 Session Opener Earth rotates about its own axis in one day. Have you ever wondered what will happen to the.

Rotational Motion. 6-1 Angular Position, Velocity, & Acceleration.

Miscellaneous Rotation. More interesting relationships.

4.1 Rotational kinematics 4.2 Moment of inertia 4.3 Parallel axis theorem 4.4 Angular momentum and rotational energy CHAPTER 4: ROTATIONAL MOTION.

Exam is Wednesday at 7:00 pm Remember extra office hours

Physics 211 Second Sample Exam Fall 2004 Professors Aaron Dominguez and Gregory Snow Please print your name _______________________________________________________________.

Chapter 11 Angular Momentum. The Vector Product and Torque The torque vector lies in a direction perpendicular to the plane formed by the position vector.

T072 : Q13. Assume that a disk starts from rest and rotates with an angular acceleration of 2.00 rad/s 2. The time it takes to rotate through the first.

Angular Displacement, Velocity, and Acceleration Rotational Energy Moment of Inertia Torque Work, Power and Energy in Rotational Motion.

Motion IV Rotary Motion. Moment/Torque The moment or torque is the tendency of a force to rotate a body about a specified axis or point. Moment is denoted.

Short Version : 10. Rotational Motion Angular Velocity & Acceleration (Instantaneous) angular velocity Average angular velocity  = angular displacement.

Chapter 8 Rotational Kinematics – Angular displacement, velocity, acceleration © 2014 Pearson Education, Inc. Info in red font is not necessary to copy.

Rotational Dynamics The Action of Forces and Torques on Rigid Objects

ROTATIONAL DYNAMICS. ROTATIONAL DYNAMICS AND MOMENT OF INERTIA  A Force applied to an object can cause it to rotate.  Lets assume the F is applied at.

Physics 1D03 - Lecture 351 Review. Physics 1D03 - Lecture 352 Topics to study basic kinematics forces & free-body diagrams circular motion center of mass.

PHYSICS 111 Rotational Momentum and Conservation of Energy.

Phys211C10 p1 Dynamics of Rotational Motion Torque: the rotational analogue of force Torque = force x moment arm  = Fl moment arm = perpendicular distance.

Rotational Kinetic Energy

Classical Mechanics Review 4: Units 1-22

Dynamics of Rotational Motion

Rotational Motion AP Physics.

Physics 207, Lecture 17, Nov. 1 Work/Energy Theorem, Energy Transfer

CH10 Recitation.

Presentation transcript:

Hints and Examples in Chapter 10

Hints 10-10: t=r*F and t=Ia 10-32: Part a) See previous hint. b) w2=w20+2*a*q c) W=tq d) P=tw 10-40: I1=Ibody + Ithin rod at r=1.2 m and I2=Ibody + Ithin rod at r=25 cm and then use conservation of L 10-54: q= ½ at2 where s=rq

10:15 A solid uniform cylinder with mass of 8.25 kg and diameter of 15 cm is spinning at 220 rpm on a thin frictionless axle that passes along the cylinder axis. You design a simple friction brake to stop the cylinder by pressing the brake against the outer rim with a normal force. The coefficient of friction between the brake and rim is 0.333. What must the normal force be to bring the cylinder to rest after it has turned through 5.25 revolutions?

The total angular distance is 5.25 revolutions or 33 radians. w0=220 rpm=23 rad/s tq=W=-mk*n*R Iaq=W=-mk*n*R I= ½ *m*R2 = ½ (8.25)(0.075 m)2=0.023 kg*m2 w2=w20+2*a*q so –w02/2q=a=-8.04 rad/s2 n= .023*8.04*33/0.333/.075=7.47 N

10:39 A small block on a frictionless horizontal surface has a mass 0.025 kg. It is attached to a massless cord passing through a hole in the surface. The block is originally revolving at a distance of 0.3 m from the hole with an angular speed of 1.75 rad/s . The cord is then pulled from below shortening the distance the radius in which the block revolves to 0.15 m. Treat the block as a particle Is angular momentum conserved? What is the new angular speed? Find the change in kinetic energy of the block. How much work was done by pulling the cord?

Part a) Since there is no torque acting on the particle (its angular velocity is not changing), the L is conserved. Part b) Let I=mr2 so I1w1=I2w2 so w2=w1*(r1/r2)2 w2=4*w1=7 rad/s Part c) DK= ½ I2w22-½ I1w21=1.03 x 10-2 J Part d) no other force does work so just change in KE

10:43 A large wooden turntable in the shape of a flat disk has a radius of 2 m and total mass of 120 kg. The turntable is initially rotating at 3 rad/s about a vertical axis through its center. Suddenly a 70 kg parachutist makes a soft landing on the edge. Find the angular speed after the parachutist lands

I1w1=I2w2 I1= ½ mr2=0.5 (120 kg)*(2)2= 240 kg*m2 w1=3 rad/s I2=I1+ m2r2=240+ 70*22=520 kg*m2 3*240/520=w2=1.38 rad/s