2D Motion/ Newton's Laws/ Uniform Circular Motion
2D Motion/ Newton's Laws/ Uniform Circular Motion PHYS 1100
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This 3 page Class Notes was uploaded by Tiffany Mae Paskiewicz on Thursday October 1, 2015. The Class Notes belongs to PHYS 1100 at Rensselaer Polytechnic Institute taught by a professor in Fall 2015. Since its upload, it has received 36 views. For similar materials see Physics I in Physics 2 at Rensselaer Polytechnic Institute.
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Date Created: 10/01/15
2 Dimensional Motion Problem solving strategy Motion in the X direction is independent of motion in the X direction Break the problem into two parts, on for the X motion and one form the Y motion Handle each part like a 1D problem Express y as a function of x and t for each of the two objects Combine the equations to eliminate unknowns Force and Motion 1: Newton’s Laws of Motion Newton’s Laws of Motion: How to describe objects in motion A theory of Gravity Newton’s First Law If the body is at rest, it will remain at rest: static equilibrium If the body is in motion, then its velocity remains constant: dynamic equilibrium. The key condition is Zero net force. Newton’s Second Law The acceleration of a body is proportional to the net force acting on it Only forces that act on an object contribute to the net force on it The net force and acceleration are always in the same direction because m is a positive number Newton’s Second Law: Complex Systems A couple system contains two different forces and objects that the masses are working on. Normal Force (N): the force from an objects’ contact surface to resist other forces. It works in the opposite direction of the object exerting the other force. It is at a 90 degree angle from the surface. Static Friction (s ): the contact force that keeps and object “stuck” on a surface and prevents relative motion. Static friction is tangent to the surface towards the opposite direction of gravitational pull. s = s N (s is the coefficient of static friction) Kinetic Friction: when an object slides along a surface, the surface exerts a contact force in the opposite direction; it is always against the motion. fk= μ k (μ ks the coefficient of kinetic friction) Contact force: The contact force is the components of the friction force and normal force. Inclined force: a force pulling or pushing on an object at an angle How to solve problems using the second law. 1. Identify all forces acting on the object 2. Choose a coordinate system 3. Draw a “Free body Diagram” 4. Find the components of the forces acting on the object. 5. Use Newton’s Second Law to write on equation for each considered force. 6. Solve the equation. Newton’s Third Law “For every action, there is an equal and opposite reactions.” Forces always occur as interactions between objects. Uniform Circular Motion Uniform Circular Motion: Circular path at constant speed, where Newton’s 2 law still applies and acceleration is centripetal. Rotation There are two types of physical systems that are not easy to analyze using x, y, and z coordinates o Ex: rotation of matter around the center of mass of an object or a fixed point The force and the acceleration are towards the center of the rotation Velocity is perpendicular to force and acceleration Centripetal acceleration is the acceleration of an object, directed toward the center of rotation, in uniform circular motion. o There must be a net force on the object that causes this to happen Centripetal force is the net force on an object, directed toward the center of rotation, in uniform circular motion. Centrifugal force is a fictitious (inertial) force that arises when one uses accelerating coordinate systems. o Centrifugal force does not exist
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