If, determine the moment produced by the 4-kN force about point A. u = 45° 3 m m 4 kN A u 4 Solutions 1/23/09 PM Page. Access Engineering Mechanics 12th Edition solutions now. Our solutions are written by Chegg experts so you can be assured of the highest quality!. Access Engineering Mechanics Statics SI 12th Edition Chapter 2 solutions now. Our solutions are written by Chegg experts so you can be assured of the highest .
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In classical mechanicsimpulse symbolized by J or Imp  is the integral of a forceF, over the time interval, t, for which it acts. Since force is a vector quantity, impulse is also a vector in the same direction.
Impulse applied to an object produces an equivalent vector change in its linear momentumalso in the same direction. A resultant force causes acceleration and a change in the velocity of the body for as long as it acts.
A resultant force applied over a longer time therefore produces a bigger change in linear momentum than the same force applied briefly: Conversely, a small force applied for a long time produces the same change in momentum—the same impulse—as a larger force applied briefly. The impulse is the integral of the resultant force F with respect to time:.
Impulse J produced from time t 1 to t 2 is defined to be .
From Newton’s second lawforce is related to momentum p by. This is often called the impulse-momentum theorem.
As a result, an impulse may also be regarded as the change in momentum of an object to which a resultant force is applied. The impulse may be expressed in a simpler form when the mass is constant:.
The term “impulse” is also used to refer to a fast-acting force or impact. This type of impulse is often idealized so that the change in momentum produced by the force happens with no change in time. This sort of change is a step changeand is not physically possible. However, this is a useful model for computing the effects of ideal collisions such as in game physics engines.
Engineering Mechanics: Dynamics (12th Edition) by Russell C. Hibbeler – PDF Drive
Additionally, in rocketry, the term “total impulse” is commonly used and is considered synonymous with the term “impulse”. The application of Newton’s second law for variable mass allows impulse and momentum to be used as analysis tools for jet – or rocket -propelled vehicles.
In the case of rockets, the impulse imparted can be normalized by unit of propellant expended, to create a performance edjtion, specific impulse. This fact can be used to derive the Tsiolkovsky rocket equationwhich relates the vehicle’s propulsive change in velocity to the engine’s specific impulse or nozzle exhaust velocity and the vehicle’s propellant- mass ratio. From Wikipedia, the free encyclopedia. Second law of motion. Newton’s laws of motion. Analytical mechanics Lagrangian mechanics Hamiltonian mechanics Routhian mechanics Hamilton—Jacobi equation Appell’s equation of motion Udwadia—Kalaba mechanucs Koopman—von Neumann mechanics.
Circular motion Rotating reference frame Centripetal force Centrifugal force reactive Coriolis force Pendulum Tangential speed Rotational speed.
Formulations Newton’s laws of motion Analytical mechanics Lagrangian mechanics Hamiltonian mechanics Routhian mechanics Hamilton—Jacobi equation Appell’s equation of motion Udwadia—Kalaba equation Koopman—von Neumann mechanics.