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### Lecture22

Course: PHYS 2101, Fall 2007
School: LSU
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Word Count: 333

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22: Lecture Equilibrium and Elasticity Phys 2101 Fall 2003 Gabriela Gonzlez Equilibrium: example A uniform plank with a length L=6m and weight 500N, rests on the ground an against a frictionless roller at the top of a wall of height h=3m. The plank remains in equilibrium for any value of the angle q larger or equal to 70o, but slips is the angle is smaller than70o. Find the coefficient of static friction between...

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22: Lecture Equilibrium and Elasticity Phys 2101 Fall 2003 Gabriela Gonzlez Equilibrium: example A uniform plank with a length L=6m and weight 500N, rests on the ground an against a frictionless roller at the top of a wall of height h=3m. The plank remains in equilibrium for any value of the angle q larger or equal to 70o, but slips is the angle is smaller than70o. Find the coefficient of static friction between the plank and the ground. 2 Example A thin horizontal bar AB of negligible weight and length L is hinged to a vertical wall at A by a think wire BC that makes an angle q with the horizontal. A load of weight W can be moved anywhere along the bar; its position is defined by the distance x from the wall to its center of mass. As a function of x, find (a)the tension in the wire, and the (b)horizontal and (c)vertical components of the force on the bar from the hinge at A. 3 Elasticity: Stress and strain Strain L/L = Stress= F/A Young's modulus: E=stress/strain Strain = x/L Stress= F/A Shear modulus: G=stress/strain Strain = V/V Stress= pressure p(=F/A) Bulk modulus: B=stress/strain tensile stress shearing stress hydraulic stress 4 Example The graph shows the stress-strain curve for quartzite. What is the Young's modulus? Yield strength: modulus is no longer constant, and the forces produce permanent deformation 5 Example A mine elevator is supported by a single steel cable 3.2 cm in diameter. The total mass of the elevator cage plus occupants is...

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LSU - PHYS - 2101
Lecture 23: GravitationPhys 2101 Fall 2003 Gabriela GonzlezThe Law of GravitationNewton's gravitation law (not F=ma!):m 1 m2 F =G 2 rG = 6.67 x 10 -11 N m2/kg22Superposition principleWe can add gravitational forces. We have to add them as
LSU - PHYS - 2101
Lecture 24: GravitationPhys 2101 Fall 2003 Gabriela GonzlezPotential EnergyPotential energy = -work done by gravitational forcesU = W = Z1 rF dx = Z1rGM m GM m dx = x2 rWe were using before Ug=mgh. Was that wrong?Ug = = = = GM
LSU - PHYS - 2101
Lecture 25: FluidsPhys 2101 Fall 2003 Gabriela GonzlezFluidsFluids are substances that can &quot;flow&quot;. Density= mass per unit volume: = m/V (kg/m3) Pressure= force per unit area: p = F/A (N/m2= Pa) Other units for pressure: 1 atm = 1.01 x 105 Pa (
LSU - PHYS - 2101
Lecture 27: OscillationsPhys 2101 Fall 2003 Gabriela GonzlezOscillationsOscillations = anything that &quot;swings&quot; back and forth. Harmonic oscillations: described with trigonometric functions. Three kinds of oscillations: free, damped and forced.
LSU - PHYS - 2101
Lecture 28: OscillationsPhys 2101 Fall 2003 Gabriela GonzlezSimple Harmonic Motion: EnergyIf F=-kx like for a spring, potential energy = -work done by the force is U= k x2. Total mechanical energy is conserved: E= U + K = k x2 + m v2 = k (xm c
LSU - PHYS - 2101
Lecture 29: WavesPhys 2101 Fall 2003 Gabriela GonzlezWavesParticles moving back and forth, forming a wave which is traveling and carries energy away from the source. Examples: Sound waves Seismic waves Water wavesSometimes, it is not particl
LSU - PHYS - 2101
Lecture 35: Temperature and HeatPhys 2101 Fall 2003 Gabriela GonzlezFirst law of ThermodynamicsThe work W done by the system during a transformation from an initial state to a final state depends on the path taken. The heat Q absorbed by the sys
LSU - PHYS - 2101
Lecture 36: The kinetic theory of gasesPhys 2101 Fall 2003 Gabriela Gonzlez Ludwig Boltzmann 1866- 1906Kinetic theory of gasesAt the microscopic level, temperature is a measure of the kinetic energy in the elemental units (atoms or molecules);
LSU - PHYS - 2101
Lecture 37: Kinetic Theory of gasesPhys 2101 Fall 2003 Gabriela GonzlezPressure, temperature and speedMolecules in a gas are colliding with each other, and with the walls. When colliding with walls, they transfer momentum, and the effect is measu
LSU - PHYS - 2101
Lecture 38: Kinetic Theory of gasesPhys 2101 Fall 2003 Gabriela GonzlezIdeal gases so farpV = n R T Eint = Q W Eint= (3/2) n R T = n CV T CP = CV + R Constant volume: W=0, Q = n CV T Eint= n CV TConstant pressure: W= p V = nRT Q = n CP T
LSU - PHYS - 2101
Lecture 39: Entropy: The Second law of ThermodynamicsPhys 2101 Fall 2003 Gabriela GonzlezIrreversible processesWe can easily tell the direction of the &quot;arrow of time&quot; in irreversible processes which, if spontaneous, only happen one way: spilling
LSU - PHYS - 2101
Lecture 40: Heat enginesPhys 2101 Fall 2003 Gabriela GonzlezIdeal heat enginesIdeal heat engines use a cycle of reversible thermodynamic processes. A heat engine transforms energy extracted as heat from thermal reservoirs, into mechanical work. C
LSU - PHYS - 2101
Lecture 41: Final Review 15 weeks in 50 minutes!Phys 2101 Fall 2003 Gabriela GonzlezA course overview Ch 2,4 - Kinematics: motion in 1,2 and 3D: x(t), v(t), a(t) Ch 5,6 - Dynamics: F = ma Ch 7,8 - Energy: potential, kinetic, Work-Energy theore
LSU - PHYS - 2101
SID 323 376 524 1293 1526 1796 1902 2383 2508 2726 2736 3704 3722 3974 4166 4288 4303 4640 5137 5255 6348 6503 6597 6733 6752 7349 7490 7569 7657 7729 7731 7779 7792 7850 7879 7947 7975 8312 8384 8712 8715 8879 8927 9325 9382 9395 9779 9971Exam1 63
LSU - PHYS - 2101
SID 323 376 524 1293 1526 1796 1902 2383 2508 2726 2736 3704 3722 3974 4166 4288 4303 4640 5137 5255 6348 6503 6597 6733 6752 7349 7490 7569 7657 7731 7779 7792 7850 7879 7947 7975 8312 8384 8712 8715 8879 8927 9325 9382 9395 9779P1 10 5 5 11 12 13
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SID 106 323 376 524 857 918 1293 1341 1526 1796 1902 2383 2485 2508 2543 2715 2726 2736 3023 3357 3704 3722 3748 3974 4166 4288 4303 4640 5054 5137 5255 6276 6348 6503 6597 6733 6752 6897 7160 7349 7490 7549 7569 7657 7729 7731 7779 7792 7850 7879 78
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SID 106 323 376 524 857 918 1293 1341 1526 1796 1902 2383 2485 2508 2543 2715 2726 2736 3023 3357 3704 3722 3748 3974 4166 4288 4303 4640 5054 5137 5255 6276 6348 6503 6597 6733 6752 6897 7160 7349 7490 7549 7569 7657 7729 7731 7779 7792 7850 7879 78
LSU - PHYS - 2101
Assignment Name: Due: Totals SID 106 323 376 524 857 918 1293 1341 1526 1796 1902 2383 2485 2508 2543 2715 2726 2736 3023 3357 3704 3722 3748 3974 4166 4288 4303 4640 5054 5137 5255 6276 6348 6503 6597 6733 6752 6897 7160 7349 7490 7549 7569 7657 772
LSU - PHYS - 2101
SID 106 323 376 524 857 918 1293 1341 1526 1796 1902 2383 2485 2508 2543 2715 2726 2736 3023 3357 3704 3722 3748 3974 4166 4288 4303 4640 5054 5137 5255 6276 6348 6503 6597 6733 6752 6897 7160 7349 7490 7549 7569 7657 7729 7731 7779 7792 7850 7879 78
LSU - PHYS - 2101
Lecture 2: Motion in 2-D (projectile motion) Newton's laws Newton'Phys 2101 Gabriela GonzlezNewton's lawsPhysics having predictive value! Newton's laws: two qualitative, one quantitative: 1. If no net force, no acceleration (either at rest, or mo
LSU - PHYS - 2101
Lecture 9: RotationPhys 2101 Gabriela GonzlezTranslation and Rotation21Angular displacement, velocity, accelerationPure rotation of a reference line in a solid body around an axis is described with an angle as a function of time. =s/r ccw:
LSU - PHYS - 2101
Lecture 11: Rolling, angular momentumPhys 2101 Gabriela GonzlezWork, energy, power. linear and circular motion2ExampleA meter stick is held vertically with one end on the floor and is then allowed to fall. Assuming that the end on the floor d
LSU - PHYS - 2101
Lecture 17: FluidsPhys 2101 Gabriela GonzlezExample How deep in the sea is the pressure twice as much the pressure at the surface? Would the answer be different in a mountain lake?Is Scuba diving safe? http:/www.mtsinai.org/pulmonary/books/scu
LSU - PHYS - 2101
Lecture 24: Waves on strings TemperaturePhys 2101 Gabriela GonzlezSuperposition of wavesIf we have two waves traveling in the same string, they will overlap and add up to a resultant wave. Overlapping waves do not in any way alter the travel of e
LSU - PHYS - 2101
Lecture 27: Thermodynamics, EntropyPhys 2101 Gabriela GonzlezIdeal gases so farFor any process (1, 2, 3 or 4): pV = n R T Eint = Q W Eint= (f/2) n R T = n CV T Also, CP = CV + R ; CV=(f/2)R Constant volume (4): W=0, Q = n CV T Eint= n C
Western Michigan - ECE - 3510
DISPLAY UNITPCU-6C Display ModulePCU-6C is a small, lightweight, driver display module designed to present the driver with the information he requires in a clearly legible and simple format via LED displays and LED lamps. Interface to a remote ECU
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LIU-4LVDT Interface UnitThe LIU-4 provides signal conditioning for four 5 wire LVDT positioning sensors. When the LVDT sensors are being used in latency critical control systems, the conditioned signals are passed to the host ECU as four 0 to 5V an
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SYSTEM MONITORVEHICLE TUNING AND CONFIGURATION TOOLSystem Monitor is a software package for configuring and tuning automotive control systems. It has built-in support for motor sport systems and can be tailored to support third party control units.
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UNC Marching Tar Heels / CheerleadersProposed Continental Tire Bowl ScheduleTuesday, December 28 (see appropriate schedule) FUCHS' GROUP 12:30p Luggage Drop Off (location TBA) (parking provided) 1:15p Report to Carmichael (uniform black and pul
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Qswitch.nb1Q-switching a laserPHY 271, Homework 3, Problem 5 Define constants: cavity lifetime, c*cross section, Lm/L, cavity volume, initial inverstion, respectively. All in MKS units.In[38]:=tc = 8.77 10-10 ; cs = 8.4 10-15 ; L = 0.25; Vc
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