Explanation Given information: A system of forces is given as below. Calculation: This system to be in equilibrium, resultant of all the forces must be equal to zero. We will find and add corresponding horizontal and vertical component i.e. i and j components of each force and total horizontal and vertical component should be equal to zero. All direction angles are measured from positive x-axis. The horizontal component R i of resultant

Precalculus: A Unit Circle Approach (3rd Edition)

3rd Edition

ISBN: 9780134433042

Author: J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek

Publisher: PEARSON

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Chapter 6.4, Problem 84E

To determine

To find the magnitude of forces F1 and F2 such that system is in equilibrium.

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Chapter 6.4, Problem 83E

Chapter 6.4, Problem 85E

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A seasoned parachutist went for a skydiving trip where he performed freefall before deploying the parachute. According to Newton's Second Law of Motion, there are two forcës acting on the body of the parachutist, the forces of gravity (F,) and drag force due to air resistance (Fa) as shown in Figure 1. Fa = -cv ITM EUTM FUTM * UTM TM Fg= -mg x(t) UTM UT UTM /IM LTM UTM UTM TUIM UTM F UT GROUND Figure 1: Force acting on body of free-fall where x(t) is the position of the parachutist from the ground at given time, t is the time of fall calculated from the start of jump, m is the parachutist's mass, g is the gravitational acceleration, v is the velocity of the fall and c is the drag coefficient. The equation for the velocity and the position is given by the equations below: EUTM PUT v(t) = mg -et/m – 1) (Eq. 1.1) x(t) = x(0) – Where x(0) = 3200 m, m = 79.8 kg, g = 9.81m/s² and c = 6.6 kg/s. It was established that the critical position to deploy the parachutes is at 762 m from the ground…

Chapter 6 Solutions

Precalculus: A Unit Circle Approach (3rd Edition)

Ch. 6.1 - If is an acute angle in a right triangle, then...Ch. 6.1 - The sum of the two acute angles in a right...Ch. 6.1 - If is an acute angle (measured in degrees) in a...Ch. 6.1 - When looking down, the acute angle between the...Ch. 6.1 - True or False. If 0 is an acute angle in a right...Ch. 6.1 - True or False. The leg adjacent to angle in a...Ch. 6.1 - True or False. The length of the hypotenuse of a...Ch. 6.1 - True or False. We can solve a right triangle if...Ch. 6.1 - In Exercises 9—14, find the exact values for the...Ch. 6.1 - In Exercises 9-14, find the exact values for the...

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To find the magnitude of forces F 1 and F 2 such that system is in equilibrium.

Solution Summary: The author explains how to find the magnitude of forces such that system is in equilibrium. The resultant of all the forces must be equal to zero.

To find the magnitude of forces F1 and F2 such that system is in equilibrium.

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Chapter 6 Solutions