LECTUR~8_13.1-13.3

# LECTUR~8_13.1-13.3 - Determine the time needed for the load...

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Determine the time needed for the load at B to attain a speed of 8 m/s, starting from rest, if the cable is drawn into the motor with an acceleration of 0.2 m/s 2 . A v A v B B

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The motor draws in the cable at C with a constant velocity v C . The motor draws in the cable at D with a constant acceleration of a D . If v D = 0 when t = 0, determine (a) the time needed for block A to rise a distance h , and (b) the relative velocity of block A with respect to block B when this occurs.
The man pulls the boy up to the tree limb C by walking backward at a constant speed of 1.5 m/s. Determine the speed at which the boy is being lifted at the instant x A = 4 m. Neglect the size of the limb. When x A = 0, y B = 8 m, so that A and B are coincident, i.e., the rope is 16 m long. 8 m y B B A x A C

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The ship travels at a constant speed of vs = 20 m>s and the wind is blowing at a speed of vw = 10 m>s, as shown. Determine the magnitude and direction of the horizontal component of velocity of the smoke coming from the smoke stack as it appears to a passenger on the ship. v s 20 m / s v w 10 m / s y x 30 45
DR. SANISAH SAHARIN (E1-5-2.14) MEC 1392 DYNAMICS LECTURE 1: SECTION 13.1-13.3

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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 : Applications Newton s Laws of Motion Newton s Law of Gravitational Attraction Equation of Motion for a Particle or System of Particles
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 _______.

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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.
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, could we determine the acceleration of the truck? 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.
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