Introduction to Mechanics

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Presentation transcript:

Introduction to Mechanics TK is figured as follows: $97 for ROA, mech & accy $22 for Lyn manufac $4.76 for burden (4%) Total of $123.76

What is Mechanics??? Mechanics is the branch of physics concerned with the behavior of physical bodies when subjected to forces or displacements, and the subsequent effect of the bodies on their environment. Applied mechanics is a branch of the physical sciences and the practical application of mechanics Applied mechanics can be subdivided into statics, dynamics, fluid mechanics, deformation mechanics among others Dynamics deals with the effects of forces on the motion of objects

Motion along an inclined plane

Equations of dynamic motion Normal Reaction N = mgCosΘ Frictional force f = µN = µmgCosΘ Resultant force F along the inclined plane is F = mgSinΘ - µmgCosΘ Resultant acceleration is given by a = gSinΘ - µgCosΘ

Equations of kinematics On the Inclined plane a = gSinΘ - µgCosΘ Final velocity v = u + at (Assuming u = 0) Displacement S = ut + (at^2)/2 where u = 0 On the ground F = 0, f = µN = µmg Resultant force = F – f = -µmg Resultant acceleration a = -µg Final velocity v = u + at where v = 0 and a = -µg Displacement S = ut + (at^2)/2 where a = -µg

Measuring the acceleration A single-axis accelerometer Determination of direction of sensing plane Collecting the data Determination of other parameters

References Wikipedia, the free online encyclopedia http://www.physicsclassroom.com

Dynamics – May the ‘Force’ be with you!!!