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Force Table and Vector Addition of
Forces
Student
Class: PHY - 110
Instructor: Prof. G. Camilo
Lab Date:
CVCC
1 Introduction
The purpose of this lab procedure is to familiarize the students with measurements and
the instruments . The quality of the measur
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KL?- Table-Group
2-1132 Express F :15 u Vuclm in [UTI'IIH ul'tht: unil wet.an i. and [-L. Determine the prnjcclion, lmlh :15 :1 scalar
and as a vector. of F nutn line :14. which lies in the .=.'y plane.
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U6 Sept. 26, 2007' HW # 10 Key Table-Group
2.84 The magnitudes of the two force vectors are |FA| I 140 lb and |F3\ : 100 1b. Determine the magnitude of the sum of
the forces FA + F3.
2.85 Determine the direction cosines of the vectors FA and F3.
5 :lem
U6 Sept. 26, 2007' HW # 10 Key Table-Group
2.84 The magnitudes of the two force vectors are |FA| I 140 lb and |F3\ : 100 1b. Determine the magnitude of the sum of
the forces FA + F3.
2.85 Determine the direction cosines of the vectors FA and F3.
5 :lem
lMf , Table-Group
3E? The chain binder is used it seeure [ends of legs. lumber. pipe. and the like. It" the tensien T. is 2 RN Iwhen [I - 39.
determine the feree P required en the lever and the corresponding tension 3"; 1hr IhiH pmitien. Asaume that the
1. Energy Units 1 Joule = F*d= Newton * Meter
1 Calorie = 4186 J = heat necessary to raise the temp of 1 Kg of H2O by 1 deg C
1 calorie = heat necessary to raise the temp of 1 gram of H20 by 1 deg C
1 BTU = 1055 J = heat necessary to raise the temp of
Electromagnetic Theory
Electricity
20 Electric Forces
20.1 Fundamental Terms for Electrical Charge, Conductors, & Insulators
We are all familiar with static electricity, lightning, and electrical currents from an early age.
We are familiar with sources
22 Gauss Law
22.1 Flux of the Electric Field and Gauss Law
The flux of a vector field, V, through a surface of area A is = V * A
Gauss law states that the flux of the electric field through a closed surface is = qinside /0
A more formal vector calculus
21 Electric Field
21.1 Description and Origin of the Electric Field Concept
Force at a distance was difficult for people to accept thus the electric field, E, was invented
The electric field at a point is the force a unit charge would experience. Show f
24 Capacitance
24.1 Definition of Capacitance
Take a charge Q from object A to object B, (both neutral objects) then A potential difference of V volts between A
and B will result from this action.
The more charge one carries from A to B then the greater
25 Electric Current & Resistance
25.1 Electric Current
When a potential difference (voltage) exists across a substance, the charges try to move to equalize it and thus a flow
of electrical charge results called an electric current.
Electrical current is
26 Direct Electrical Currents
26.1 Kirchhoffs Laws:
Sum of currents entering a junction must equal the sum leaving the junction (node)
Sum of voltages across each element in any closed loop must be zero. Examples
26.2 RCV Circuit
Kirchhoffs second law
27 Magnetic Fields
27.1 Magnetic Fields from Natural Objects and the Environment
In early science classes we play with magnets & learn about the N & S poles Like poles (NN & SS) repel and unlike
poles (NS) attract
With iron filings on paper over a magne
28 Magnetic Field Sources
28.1 The Source Equation for the Magnetic Field: The Biot-Savart law:
Biot-Savart law: Magnetic fields arise from the motion of electric charge as: dB = (o/4) I ds x runit / r2 where I =
current, ds = length of wire, dB = mag. F
29 Faradays Law
29.1 Faradays Law for Induced Electric Fields
Faradays discovery of induction allows the creation of voltage by moving a loop in a magnetic field Either the flux
can change due to the motion or orientation of the wire or loop or
The flux
30 Induction
30.1 Self Induction
The change in current in a wire creates a changing magnetic field on that wire and thereby creates an induced voltage
which in turn opposes the voltage that creates the original current.
Self-Inductance: the induced volt
31 Alternating Electric Currents
31.1 The General RCLV Circuit Equation (with constant voltage V0 )
Solve the general RCLV circuit: L d2q/dt2 + R dq/dt + (1/C) q = V0 This is second order linear
inhomogeneous differential equation
Use q(t) = q0 et + B F
32 Maxwells Equations
32.1 Lorentz force equation: F = q E + q v x B ( = dp /dt by Newtons equation of motion)
Maxwells Equations
32.2 Gauss law of electricity d = qinside /0 or
where is the charge density /oE
=
32.3 Gauss law of magnetism B d = 0 or
33 Solution in a Vacuum EM Waves
33.1 Overview of Maxwells Discovery
Maxwell solved his equations in a vacuum meaning no charges or currents and found:
With oscillating E & B perpendicular fields at any frequency, & any amplitude with E = cB
The oscill
Light & Optics
34 Reflection of Light & Mirrors
34.1 Plane Mirrors
The law of reflection is that the angle of incidence equals the angle of reflection i=r
Flat Mirrors The left and right handiness is reversed in a mirror (eg with handwriting)
A reflect
35 Refraction of Light & Lenses
35.1 Index of Refraction & Internal Refraction
The Index of Refraction is ratio of the speed of light in vacuum to the speed in the substance n = c /v thus n > 1
always
Examples are diamond 2.419, Crown glass 1.523, Benze
36 Interference & Wave Nature of Light
36.1 Linear Superposition
Principle of linear superposition: resultant disturbance is the sum of separate disturbances
Interference is constructive if waves are in phase, destructive otherwise
Thin film interferen