Engineering Mechanics: Statics, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780134209296
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3.3, Problem 1FP
Determine the force in each supporting cable.
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
Chapter 3 Solutions
Engineering Mechanics: Statics, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (14th Edition)
Ch. 3.3 - In each case, draw a free-body diagram of the ring...Ch. 3.3 - Do not solve.Ch. 3.3 - Determine the force in each supporting cable.Ch. 3.3 - Determine the shortest cable ABC that can be used...Ch. 3.3 - Neglect the size of the pulley.Ch. 3.3 - Determine the unstretched length of the spring.Ch. 3.3 - If the mass of cylinder C is 40 kg, determine the...Ch. 3.3 - Also, find the angle .Ch. 3.3 - Determine the magnitudes of F1 and F2 for...Ch. 3.3 - Determine the magnitude of F1 and its angle for...
Ch. 3.3 - Determine the magnitude and direction of F so...Ch. 3.3 - The bottom one is subjected to a 125-N force at...Ch. 3.3 - If the forces are concurrent at point O, determine...Ch. 3.3 - Determine the tension force in member C and its...Ch. 3.3 - If the tension in AB is 60 lb, determine the...Ch. 3.3 - The cords ABC and BD can each support a maximum...Ch. 3.3 - Determine the maximum force F that can be...Ch. 3.3 - Determine the angle for equilibrium and the force...Ch. 3.3 - Prob. 11PCh. 3.3 - Determine the force in each of the cables AB and...Ch. 3.3 - Prob. 13PCh. 3.3 - The springs are shown in the equilibrium position.Ch. 3.3 - If the block is held in the equilibrium position...Ch. 3.3 - Note that s = 0 when the cylinders are removed.Ch. 3.3 - Prob. 17PCh. 3.3 - determine the stiffness of the spring to hold the...Ch. 3.3 - Take k = 180 N/m.Ch. 3.3 - If the spring has an unstretched length of 2 ft,...Ch. 3.3 - Cord AB is 2 ft long. Take k = 50 lb/ft.Ch. 3.3 - Determine the horizontal force F applied to the...Ch. 3.3 - Determine the displacement d of the cord from the...Ch. 3.3 - Determine the distances x and y for equilibrium if...Ch. 3.3 - Determine the magnitude of F1 and the distance y...Ch. 3.3 - Determine the force in each cord for equilibrium.Ch. 3.3 - Determine the largest mass of pipe that can be...Ch. 3.3 - If each light has a weight of 50 lb. determine the...Ch. 3.3 - Determine the tension developed in each cord...Ch. 3.3 - Determine the maximum mass of the lamp that the...Ch. 3.3 - If x = 2 m determine the force F and the sag s for...Ch. 3.3 - If F = 80 N. determine the sag s and distance x...Ch. 3.3 - Determine the tension in each cord and the angle ...Ch. 3.3 - Determine the largest weight of the lamp that can...Ch. 3.3 - Also, what is the force in cord AB? Hint: use the...Ch. 3.3 - Determine the position x and the tension developed...Ch. 3.3 - Prob. 37PCh. 3.3 - Take F = 300 N and d = 1 m.Ch. 3.3 - If a force of F = 100 N is applied horizontally to...Ch. 3.3 - If the cable can be attached at either points A...Ch. 3.3 - Determine the position x and the tension in the...Ch. 3.3 - The cord is fixed to a pin at A and passes over...Ch. 3.3 - Establish appropriate dimensions and use an...Ch. 3.3 - If the maximum tension that can be supported by...Ch. 3.3 - If the angle between AB and BC is 30, determine...Ch. 3.3 - If the distance BC is 1.5 m, and AB can support a...Ch. 3.4 - Determine the magnitude of forces F1, F2, F3, so...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - F310. Determine the tension developed in cables...Ch. 3.4 - Determine the tension in these wires.Ch. 3.4 - Determine the force developed in each cable for...Ch. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - If the bucket and its contents have a total weight...Ch. 3.4 - Each spring has on unstretched length of 2 m and a...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - Determine the tension in the cables in order to...Ch. 3.4 - Determine the maximum mass of the crate so that...Ch. 3.4 - Determine the force in each cable if F = 500 lb.Ch. 3.4 - Determine the greatest force F that can be applied...Ch. 3.4 - Determine the tens on developed in cables AB and...Ch. 3.4 - Also, what is the force developed along strut AD?Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - Determine the maximum weight of the crate that can...Ch. 3.4 - Prob. 56PCh. 3.4 - If each cord can sustain a maximum tension of 50 N...Ch. 3.4 - which has a mass of 15 kg. Take h = 4 m.Ch. 3.4 - Take h = 3.5 m.Ch. 3.4 - Determine the force in each chain for equilibrium....Ch. 3.4 - Determine the tension in each cable for...Ch. 3.4 - If the maximum force in each rod con not exceed...Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the maximum weight of the crate so that...Ch. 3.4 - If the bolt exerts a force of 50 lb on the pipe in...Ch. 3.4 - Prob. 2RPCh. 3.4 - Determine the maximum weight of the flowerpot that...Ch. 3.4 - Determine the magnitude of the applied vertical...Ch. 3.4 - Prob. 5RPCh. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - If cable AB is subjected to a tension of 700 N,...
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