
Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 14.3, Problem 39P
To determine
The speed of the crate when it reaches the point
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Find the reaction force in y if Ain = 0.169 m^2, Aout = 0.143 m^2, p_in = 0.552 atm, Q = 0.367 m^3/s, α = 31.72 degrees. The pipe is flat on the ground so do not factor in weight of the pipe and fluid.
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Problem 5: Three-Force Equilibrium
A structural connection at point O is in equilibrium under the
action of three forces.
•
•
.
Member A applies a force of 9 kN vertically upward along
the y-axis.
Member B applies an unknown force F at the angle shown.
Member C applies an unknown force T along its length at
an angle shown.
Determine the magnitudes of forces F and T required for
equilibrium, assuming 0 = 90°
y
9 kN
A
Chapter 14 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 14.3 - Determine the work of the force when it displaces...Ch. 14.3 - Determine the kinetic energy of the 10-kg block.Ch. 14.3 - Prob. 1FPCh. 14.3 - If the motor exerts a constant force of 300 N on...Ch. 14.3 - If the motor exerts a force of F = (600 + 2s2) N...Ch. 14.3 - The 1.8-Mg dragster is traveling at 125 m/s when...Ch. 14.3 - When s = 0.5 m, the spring is unstretched and the...Ch. 14.3 - The 5-lb collar is pulled by a cord that passes...Ch. 14.3 - The 20-kg crate is subjected to a force having a...Ch. 14.3 - Prob. 2P
Ch. 14.3 - The crate, which has a mass of 100 kg, is...Ch. 14.3 - The 100-kg crate is subjected to the forces shown....Ch. 14.3 - Determine the required height h of the roller...Ch. 14.3 - When the driver applies the brakes of a light...Ch. 14.3 - Prob. 7PCh. 14.3 - Prob. 8PCh. 14.3 - The air spring A is used to protect the support B...Ch. 14.3 - The force F, acting in a constant direction on the...Ch. 14.3 - The force of F= 50 N is applied to the cord when s...Ch. 14.3 - Design considerations for the bumper B on the 5-Mg...Ch. 14.3 - The 2-lb brick slides down a smooth roof, such...Ch. 14.3 - Block A has a weight of 60 lb and block B has a...Ch. 14.3 - The two blocks A and B have weights WA = 60 lb and...Ch. 14.3 - A small box of mass m is given a speed of v=14gr...Ch. 14.3 - Prob. 17PCh. 14.3 - Prob. 18PCh. 14.3 - If the cord is subjected to a constant force of F=...Ch. 14.3 - The crash cushion for a highway barrier consists...Ch. 14.3 - Prob. 21PCh. 14.3 - The 25-lb block has an initial speed of v0 = 10...Ch. 14.3 - The 8-Kg block is moving with an initial speed of...Ch. 14.3 - At a given instant the 10-lb block A is moving...Ch. 14.3 - Prob. 25PCh. 14.3 - The catapulting mechanism is used to propel the...Ch. 14.3 - Prob. 27PCh. 14.3 - The 1 0-lb box falls off the conveyor belt at...Ch. 14.3 - Prob. 29PCh. 14.3 - The 30-lb box A is released from rest and slides...Ch. 14.3 - Prob. 31PCh. 14.3 - The block has a mass of 0.8 kg and moves within...Ch. 14.3 - The 10-lb block is pressed against the spring so...Ch. 14.3 - The spring bumper is used to arrest the motion of...Ch. 14.3 - When the 150-lb skier is at point A he has a speed...Ch. 14.3 - The spring has a stiffness k = 50 lb/ ft and an...Ch. 14.3 - Prob. 37PCh. 14.3 - If the 60-kg skier passes point A with a speed of...Ch. 14.3 - Prob. 39PCh. 14.3 - Prob. 40PCh. 14.3 - Prob. 41PCh. 14.4 - If the contact surface between the 20-kg block and...Ch. 14.4 - Prob. 8FPCh. 14.4 - Prob. 9FPCh. 14.4 - Prob. 10FPCh. 14.4 - Prob. 11FPCh. 14.4 - Prob. 12FPCh. 14.4 - The jeep has a weight of 2500 lb and an engine...Ch. 14.4 - Determine the power Input for a motor necessary to...Ch. 14.4 - An automobile having a mass of 2 Mg travels up a 7...Ch. 14.4 - Prob. 45PCh. 14.4 - To dramatize the loss of energy in an automobile,...Ch. 14.4 - Escalator steps move with a constant speed of 0.6...Ch. 14.4 - Prob. 48PCh. 14.4 - Prob. 49PCh. 14.4 - Determine the power output of the draw-works motor...Ch. 14.4 - The 1000-lb elevator is hoisted by the pulley...Ch. 14.4 - The 50-lb crate is given a speed of 10ft/s in t =...Ch. 14.4 - The sports car has a mass of 2.3 Mg, and while it...Ch. 14.4 - Prob. 54PCh. 14.4 - Prob. 55PCh. 14.4 - The 10-lb collar starts from rest at A and is...Ch. 14.4 - Prob. 57PCh. 14.4 - The 50-lb block rests on the rough surface for...Ch. 14.4 - The escalator steps move with a constant speed of...Ch. 14.4 - If the escalator in Prob.14-46 is not moving,...Ch. 14.4 - Prob. 61PCh. 14.4 - Prob. 62PCh. 14.4 - Prob. 63PCh. 14.4 - Prob. 64PCh. 14.5 - The block has a mass of 150 kg and rests on a...Ch. 14.5 - Prob. 3PPCh. 14.5 - Prob. 4PPCh. 14.5 - The 2-kg pendulum bob is released from rest when...Ch. 14.5 - Prob. 14FPCh. 14.5 - Prob. 15FPCh. 14.5 - Prob. 16FPCh. 14.5 - The 75-lb block is released from rest 5 ft above...Ch. 14.5 - Prob. 18FPCh. 14.5 - The girl has a mass of 40 kg and center of mass at...Ch. 14.5 - The 30-lb block A is placed on top of two nested...Ch. 14.5 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14.5 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14.5 - The ball has a weight of 15 lb and is fixed to a...Ch. 14.5 - Prob. 71PCh. 14.5 - The roller coaster car has a mass of 700 kg,...Ch. 14.5 - The roller coaster car has a mass of 700 kg,...Ch. 14.5 - The assembly consists of two blocks A and B which...Ch. 14.5 - Prob. 75PCh. 14.5 - Prob. 76PCh. 14.5 - The roller coaster car having a mass m is released...Ch. 14.5 - The spring has a stiffness k = 200 N/m and an...Ch. 14.5 - Prob. 79PCh. 14.5 - Prob. 80PCh. 14.5 - When s = 0, the spring on the firing mechanism is...Ch. 14.5 - If the mass of the earth is Me, show that the...Ch. 14.5 - A rocket of mass m is fired vertically from the...Ch. 14.5 - The 4-kg smooth collar has a speed of 3 m/s when...Ch. 14.5 - Prob. 85PCh. 14.5 - The skier starts from rest at A and travels down...Ch. 14.5 - Prob. 87PCh. 14.5 - Prob. 88PCh. 14.5 - When the 6-kg box reaches point A it has a speed...Ch. 14.5 - Prob. 90PCh. 14.5 - Prob. 91PCh. 14.5 - The roller coaster car has a speed of 15 ft/s when...Ch. 14.5 - The 10-kg sphere C is released from rest when =...Ch. 14.5 - Prob. 94PCh. 14.5 - The cylinder has a mass of 20 kg and is released...Ch. 14.5 - Prob. 96PCh. 14.5 - A pan of negligible mass is attached to two...Ch. 14.5 - Prob. 1CPCh. 14.5 - Prob. 1RPCh. 14.5 - The small 2-lb collar starting from rest at A...Ch. 14.5 - Prob. 3RPCh. 14.5 - Prob. 4RPCh. 14.5 - Prob. 5RPCh. 14.5 - Prob. 6RPCh. 14.5 - Prob. 7RPCh. 14.5 - Prob. 8RP
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- Problem 19: Determine the force in members HG, HE, and DE of the truss, and state if the members are in tension or compression. 4 ft K J I H G B C D E F -3 ft -3 ft 3 ft 3 ft 3 ft- 1500 lb 1500 lb 1500 lb 1500 lb 1500 lbarrow_forwardProblem 14: Determine the reactions at the pin A, and the tension in cord. Neglect the thickness of the beam. F1=26kN F2 13 12 80° -2m 3marrow_forwardProblem 22: Determine the force in members GF, FC, and CD of the bridge truss and state if the members are in tension or compression. F 15 ft B D -40 ft 40 ft -40 ft 40 ft- 5 k 10 k 15 k 30 ft Earrow_forward
- Problem 20: Determine the force in members BC, HC, and HG. After the truss is sectioned use a single equation of equilibrium for the calculation of each force. State if the members are in tension or compression. 5 kN 4 kN 4 kN 3 kN 2 kN B D E F 3 m -5 m- -5 m- 5 m 5 m-arrow_forwardAn experimental setup is being built to study the flow in a large water main (i.e., a large pipe). The water main is expected to convey a discharge (Qp). The experimental tube will be built at a length scale of 1/20 of the actual water main. After building the experimental setup, the pressure drop per unit length in the model tube (APm/Lm) is measured. Problem (19): Given the value of Qp [m³/s], and assuming Reynolds number similitude between the water main and experimental tube, calculate the flow rate in the model tube (Qm) in [lit/s]. = 30.015 m^3/sarrow_forwardProblem 11: The lamp has a weight of 15 lb and is supported by the six cords connected together as shown. Determine the tension in each cord and the angle 0 for equilibrium. Cord BC is horizontal. E 30° B 60° Aarrow_forward
- Problem 10: If the bucket weighs 50 lb, determine the tension developed in each of the wires. B $30° 5 E D 130°arrow_forwardProblem 3: Four-Force Equilibrium Knowing the forces in members A and C, determine the force of B and D, assuming the system is in equilibrium. A structural joint is held in equilibrium by four forces acting along different members. • Member A applies a force of 4 kN at an angle of 60° above the positive x-axis. • Member C applies a force of 2 kN horizontally to the left along the x-axis. • Member B applies an unknown force along the horizontal direction. • Member D applies an unknown force at an angle of 45° above the negative x-axis. Determine the forces in members B and D, assuming the system is in static equilibrium. 4 kN 2 kN C 45° A D 60° FB Barrow_forwardProblem 18: Determine the force in each member of the truss. State if the members are in tension or compression. 3 ft 3 ft 3 ft B D 4 ft 4 ft. 130 lb Earrow_forward
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