Motion in 2D and Pulleys Constant acceleration in 2-D Free fall in 2-D

Slides:

Advertisements

Similar presentations

Newton’s Laws of Motion and Free Body Analysis

Advertisements

Examples and Hints for Chapter 5

PHYSICS 231 INTRODUCTORY PHYSICS I

Newton’s Second Law The net force on a body is equal to the product of the body’s mass and its acceleration.

Follow the same procedure as other force problems, but keep in mind: 1) Draw a free body diagram for EACH object or for each junction in a rope.

Newton’s Laws of Motion (Applications)

Newton’s Laws Problems

Applications & Examples of Newton’s 2nd Law

Physics 1D03 - Lecture 81 Newton’s Laws (IV) Blocks, ramps, pulleys and other problems.

Newton’s Laws (cont…) Blocks, ramps, pulleys and other problems

What is the normal force for a 500 kg object resting on a horizontal surface if a massless rope with a tension of 150 N is acting at a 45 o angle to the.

PHYS16 – Lecture 10 & 11 Force and Newton’s Laws September 29 and October 1, 2010

Aim: How can we solve problems dealing with Atwood Machines using Newton’s Laws? HW #6 Do Now: An object is of mass M is hanging from a rope as shown.

Physics 1D03 - Lecture 81 Clicker Registration Remember to register your clicker at:

1 Some application & Forces of Friction. 2 Example: When two objects of unequal mass are hung vertically over a frictionless pulley of negligible mass,

AP Physics C I.B Newton’s Laws of Motion. The “natural state” of an object.

Torque Calculations with Pulleys

Applications & Examples of Newton’s Laws. Forces are VECTORS!! Newton’s 2 nd Law: ∑F = ma ∑F = VECTOR SUM of all forces on mass m  Need VECTOR addition.

Aim: More Atwood Machines Answer Key HW 6 Do Now: Draw a free-body diagram for the following frictionless inclined plane: m2m2 m1m1 M θ Mg m2m2 m1m1 M.

Lecture 9 Serway and Jewett : 5.7, 5.8

Chapter 5 Two Dimensional Forces Equilibrium An object either at rest or moving with a constant velocity is said to be in equilibrium The net force acting.

Multiple Object Systems 1. Analyze the system as one object. 2. Analyze each object individually. 3. Create multiple equations to solve for multiple unknowns.

Newton’s Laws.

“Law of Acceleration” Forces can be BALANCED or UNBALANCED Balanced forces are equal in size (magnitude) and opposite in direction UNbalanced.

NEWTON'S LAWS OF MOTION Philosophiae Naturalis Principia Mathematica (1686)

Tension Problems.

University Physics: Mechanics

University Physics: Mechanics

Inclined Plane Problems

University Physics: Mechanics

AP Physics Review Ch 4 – Forces and Newton’s Laws of Motion

Lecture 2: More Forces.

Unit Two: Dynamics Newton’s Third Law.

University Physics: Mechanics

Atwood Machines and Multiple Body Systems

Applications of Newton’s Laws

Physics 111: Mechanics Lecture 5

Problem Solving Strategy

Applications of Newton’s Laws Tension and Pulleys

from rest down a plane inclined at an angle q with the horizontal.

Chapter 4 Test Review.

Newton’s Second Law 1.

Compound Body Problems

Two Dimensional Forces

Uniform Circular Motion

Ch. 5 slides Forces.ppt.

Fig. Q5.17, p.139.

Forces of Friction When an object is in motion on a surface or through a viscous medium, there will be a resistance to the motion This is due to the interactions.

Newton’s Laws: Practice Problems

Last Time: Dynamics: Forces

Tension Assumption 1: T = T’ (The tension in a string is constant)

Newton’s Laws - continued

Newton’s Second Law 1.

Newton’s Laws: Practice Problems

Physics 207, Lecture 9, Oct. 4 Agenda:

Free Body Diagrams and Acceleration

Motion on Inclined Planes

University Physics: Mechanics

Have you ever used Mathematica?

A.) Consider the frictionless pulley that has two masses hanging over each side. What will happen to the apparatus if the blocks are released from rest?

How does an inclined plane make work easier How does an inclined plane make work easier? How does it change the force that is applied to the inclined.

Three masses are connected by light strings as shown in the figure

ΣFy = FT - Fg = ma FT = ma + mg = m (a + g) = 5 ( ) FT

A block of mass m resting on a horizontal

Systems of Objects (Forces 2)

How can this sled move if the forces are all balanced?

1979B2. A 10‑kg block rests initially on a table as shown in cases I and II above. The coefficient of sliding friction between the block and the table.

Presentation transcript:

Motion in 2D and Pulleys Constant acceleration in 2-D Free fall in 2-D Talk about CAPA # 16 & 21 Physics 1D03 - Lecture 8

Example Problem: Cannon on a slope. 20° d 30° 100 m/s How long is the cannonball in the air, and how far from the cannon does it hit ? With what velocity does it hit the slope ? Physics 1D03 - Lecture 8

Atwood’s Machine Assume : - no friction Calculate the acceleration of the blocks. Assume : - no friction - massless rope and pulley - rope doesn’t stretch Plan: • free-body diagram for each mass • relate tensions, accelerations • use Newton’s second Law m1 m2 Physics 1D03 - Lecture 8

T1 T2 a2 a1 m2g m1g Forces on m1 Forces on m2 Tensions are equal (“ideal” pulley, light rope) Accelerations are equal in magnitude (why?), opposite in direction Physics 1D03 - Lecture 8

is proportional to g, but can be small (and easy to measure) m2g a m1g . Eliminate T to get  is proportional to g, but can be small (and easy to measure) Physics 1D03 - Lecture 8

Hint: direction of friction on m1 depends on direction of motion! A block of mass m1 on a rough horizontal surface is pulled with a force FA at an angle θ to the horizontal. A ball of mass m2 is connected to the other side, hanging over a lightweight frictionless pulley. The coefficient of friction is given by μk. Determine the acceleration of the system. FA m1 m2 θ Hint: direction of friction on m1 depends on direction of motion! Physics 1D03 - Lecture 8