Dynamics_Hibbeler_CH13_1and3

Dynamics_Hibbeler_CH13_1and3 - NEWTONS LAWS OF MOTION,...

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NEWTON’S LAWS OF MOTION, EQUATIONS OF MOTION, & EQUATIONS OF MOTION FOR A SYSTEM OF PARTICLES Today’s Objectives : Students will be able to: 1. Write the equation of motion for an accelerating body. 2. Draw the free-body and kinetic diagrams for an accelerating body . In-Class Activities : Check Homework Reading Quiz Applications Newton’s Laws of Motion Newton’s Law of Gravitational Attraction Equation of Motion For A Particle or System of Particles Concept Quiz Group Problem Solving Attention Quiz
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READING QUIZ 1. Newton’s second law can be written in mathematical form as Σ F = m a . Within the summation of forces, Σ F , ________ are(is) not included. A) external forces B) weight C) internal forces D) All of the above. 2. The equation of motion for a system of n-particles can be written as Σ F i = Σ m i a i = m a G , where a G indicates _______. A) summation of each particle’s acceleration B) acceleration of the center of mass of the system C) acceleration of the largest particle D) None of the above.
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APPLICATIONS The motion of an object depends on the forces acting on it. Knowing the drag force, how can we determine the acceleration or velocity of the parachutist at any point in time? This has some importance when landing! A parachutist relies on the atmospheric drag resistance force of her parachute to limit her velocity.
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APPLICATIONS (continued) The baggage truck A tows a cart B, and a cart C. If we know the frictional force developed at the driving wheels of the truck, can we determine the acceleration of the truck? How? Can we also determine the horizontal force acting on the coupling between the truck and cart B? This is needed when designing the coupling (or understanding why it failed).
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APPLICATIONS (continued) A freight elevator is lifted using a motor attached to a cable and pulley system as shown. How can we determine the tension force in the cable required to lift the elevator and load at a given acceleration? This is needed to decide what size cable should be used. Is the tension force in the cable greater than the weight of the elevator and its load?
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(Section 13.1) The motion of a particle is governed by Newton’s three laws of motion . First Law : A particle originally at rest, or moving in a straight line at constant velocity, will remain in this state if the resultant force acting on the particle is zero. Second Law : If the resultant force on the particle is not zero, the particle experiences an acceleration in the same direction as the resultant force. This acceleration has a magnitude proportional to the resultant force. Third Law
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Dynamics_Hibbeler_CH13_1and3 - NEWTONS LAWS OF MOTION,...

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