Term
| A particle will have an acceleration proportional to the ________ acting on it and in the ________. |
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Definition
magnitude of the resultant force; direction of the resultant force
Newton's 2nd Law |
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Term
| The resultant of the forces acting on a particle is equal to the rate of change of __________. |
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Definition
| linear momentum of the particle |
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Term
| The sum of moments about O of the forces acting on a particle is equal to ___________ of the particle about O. |
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Definition
| the rate of change of angular momentum |
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Term
| Acceleration ______ be evaluated with respect to a __________, one that is not accelerating or rotating |
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Definition
| must; Newtonian frame of reference |
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Term
| Linear Momentum of a particle_______. If mass is constant then _________. |
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Definition
| ∑F = m * dv/dt ; ∑F = d/dt (mv) |
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Term
| If the resultant of all forces is _____ then the particle is in _______ equilibrium. |
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Definition
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Term
Since ∑F = ma we can rearrange this as
∑F - ma = 0. The negative vector -ma is called ______. Now the equation represents _________. |
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Definition
| inertia vector; dynamic equilibrium |
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Term
| Solving problems in kinetics of particles(or rigid bodies we need to draw 2 diagrams... |
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Definition
FBD (shows all forces acting on the particle)
KD (showing negative of inertia vector, ma) |
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Term
| _________ or ________ of the particle about O is defined as the cross product of position vector r of the particle and its linear momentum vector L. |
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Definition
Moment of linear momentum;
angular momentum Ho
Ho = r x L = r x mV |
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Term
| Derivative of angular momentum with respect to time |
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Definition
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Term
| From Newton's second law that the ________ about O of _________ on the particle is equal to the _____________ of the particle about O[image]. |
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Definition
sum of the moments; all the forces acting; rate of change of the angular momentum
[image] |
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Term
| When the only force acting on a particle is directed toward or away from a fixed point O, the particle is said to be..... |
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Definition
| moving under a central force |
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Term
Since the LOA of the central force passes thru point O then the moment due to this force about point O is _______.
[image] |
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Definition
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Term
| Work of the force of gravity |
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Definition
| W1->2 = -Weight( y2 - y1 ) |
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