Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 13.6, Problem 92P
The arm is rotating at a rate of
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The particle of mass m = 2.1 kg is attached to the light rigid rod of length L = 0.91 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 2.9 rad/s. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression.
Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression.
If the 100-kg mass has a downward velocity of 0.5 m/s
as it passes through its equilibrium position, calculate
the magnitude amax of its maximum acceleration.
Each of the two springs has a stiffness k = 180 kN/m.
Ans. amax = 30 m/s2
%3D
k
k
100 kg
The spring-held follower AB has a mass of 0.5 kg and moves back andforth as its end rolls on the contoured surface of the cam, where r = 0.15 m and z =(0.02 cos 2θ) m. If the cam is rotating at a constant rate of 30 rad/s, determine theforce component Fz at the end A of the follower when θ = 30°. The spring isuncompressed when θ = 90°. Neglect friction at the bearing C.
Chapter 13 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 13.4 - The 10-kg block is subjected to the forces shown....Ch. 13.4 - The 10-kg block is subjected to the forces shown....Ch. 13.4 - Determine the initial acceleration of the 10-kg...Ch. 13.4 - Prob. 4PPCh. 13.4 - Prob. 1FPCh. 13.4 - If motor M exerts a force of F = (10t2 + 100) N on...Ch. 13.4 - A spring of stiffness k = 500 N/m is mounted...Ch. 13.4 - Prob. 5FPCh. 13.4 - Block B rests upon a smooth surface. If the...Ch. 13.4 - The 6-lb particle is subjected to the action of...
Ch. 13.4 - The two boxcars A and B have a weight of 20 000 lb...Ch. 13.4 - If the coefficient of kinetic friction between the...Ch. 13.4 - If the 50-kg crate starts from rest and achieves a...Ch. 13.4 - If blocks A and B of mass 10 kg and 6 kg...Ch. 13.4 - The 10-lb block has a speed of 4 ft/s when the...Ch. 13.4 - The 10-lb block has a speed of 4 ft/s when the...Ch. 13.4 - Prob. 8PCh. 13.4 - The conveyor belt is moving at 4 m/s. If the...Ch. 13.4 - The conveyor belt is designed to transport...Ch. 13.4 - Determine the time needed to pull the cord at B...Ch. 13.4 - Prob. 12PCh. 13.4 - Block A has a weight of 8 lb and block B has a...Ch. 13.4 - The 2-Mg truck is traveling at 15 m/s when the...Ch. 13.4 - The motor lifts the 50-kg crate with an...Ch. 13.4 - Prob. 16PCh. 13.4 - Prob. 17PCh. 13.4 - Prob. 18PCh. 13.4 - Prob. 19PCh. 13.4 - Prob. 20PCh. 13.4 - The conveyor belt delivers each 12-kg crate to the...Ch. 13.4 - The 50-kg block A is released from rest. Determine...Ch. 13.4 - Prob. 23PCh. 13.4 - Prob. 24PCh. 13.4 - Prob. 25PCh. 13.4 - The 1.5 Mg sports car has a tractive force of F =...Ch. 13.4 - Prob. 27PCh. 13.4 - Prob. 28PCh. 13.4 - Prob. 29PCh. 13.4 - Prob. 30PCh. 13.4 - Prob. 31PCh. 13.4 - The tractor is used to lift the 150-kg load B with...Ch. 13.4 - Prob. 33PCh. 13.4 - Prob. 34PCh. 13.4 - Prob. 35PCh. 13.4 - Prob. 36PCh. 13.4 - The 10-kg block A rests on the 50-kg p late B in...Ch. 13.4 - The 300-kg bar B, originally at rest, is being...Ch. 13.4 - Prob. 39PCh. 13.4 - The 400-lb cylinder at A is hoisted using the...Ch. 13.4 - Prob. 41PCh. 13.4 - Block A has a mass mA and is attached to a spring...Ch. 13.4 - Prob. 43PCh. 13.4 - If the motor draws in the cable with an...Ch. 13.4 - If the force exerted on cable AB by the motor is F...Ch. 13.4 - Prob. 46PCh. 13.4 - Prob. 47PCh. 13.4 - Prob. 48PCh. 13.4 - If a horizontal force P = 12lb is applied to block...Ch. 13.4 - Prob. 50PCh. 13.4 - Prob. 51PCh. 13.5 - Set up the n, t axes and write the equations of...Ch. 13.5 - Prob. 6PPCh. 13.5 - The block rests at a distance of 2 m from the...Ch. 13.5 - Determine the maximum speed that the jeep can...Ch. 13.5 - A pilot weighs 150 lb and is traveling at a...Ch. 13.5 - The sports car is traveling along a 30 banked road...Ch. 13.5 - If the 10-kg ball has a velocity of 3m/ s when it...Ch. 13.5 - Prob. 12FPCh. 13.5 - Prob. 52PCh. 13.5 - Prob. 53PCh. 13.5 - The 2-kg block B and 15-kg cylinder A are...Ch. 13.5 - Determine the maximum constant speed at which the...Ch. 13.5 - Cartons having a mass of 5 kg are required to move...Ch. 13.5 - Prob. 57PCh. 13.5 - The 2-kg spool S fits loosely on the inclined rod...Ch. 13.5 - Prob. 59PCh. 13.5 - Prob. 60PCh. 13.5 - At the instant B = 60, the boys center of mass G...Ch. 13.5 - Prob. 62PCh. 13.5 - Prob. 63PCh. 13.5 - Prob. 64PCh. 13.5 - Prob. 65PCh. 13.5 - Prob. 66PCh. 13.5 - Prob. 67PCh. 13.5 - The 0.8-Mg car travels over the hill having the...Ch. 13.5 - The 0.8-Mg car travels over the hill having the...Ch. 13.5 - The package has a weight of 5 lb and slides down...Ch. 13.5 - The 150-lb man lies against the cushion for which...Ch. 13.5 - The 150-lb man lies against the cushion for which...Ch. 13.5 - Determine the maximum speed at which the car with...Ch. 13.5 - Determine the maximum constant speed at which the...Ch. 13.5 - The box has a mass m and slides down the smooth...Ch. 13.5 - Prob. 76PCh. 13.5 - Prob. 77PCh. 13.5 - Prob. 78PCh. 13.5 - The airplane, traveling at a constant speed of 50...Ch. 13.5 - Prob. 80PCh. 13.5 - Prob. 81PCh. 13.5 - Prob. 82PCh. 13.5 - The ball has a mass m and is attached to the cord...Ch. 13.6 - The 2-lb block is released from rest at A and...Ch. 13.6 - Determine the constant angular velocity of the...Ch. 13.6 - The 0.2-kg ball is blown through the smooth...Ch. 13.6 - The 2-Mg car is traveling along the curved road...Ch. 13.6 - The 0.2-kg pin P is constrained to move in the...Ch. 13.6 - The spring-held follower AB has a weight of 0.75...Ch. 13.6 - Determine the magnitude of the resultant force...Ch. 13.6 - The path of motion of a 5-lb particle in the...Ch. 13.6 - Rod OA rotates counterclockwise with a constant...Ch. 13.6 - The boy of mass 40 kg is sliding down the spiral...Ch. 13.6 - Using a forked rod, a 0.5-kg smooth peg P is...Ch. 13.6 - The arm is rotating at a rate of = 4 rad/s when ...Ch. 13.6 - If arm OA rotates with a constant clockwise...Ch. 13.6 - Determine the normal and frictional driving forces...Ch. 13.6 - A smooth can C, having a mass of 3 kg, is lifted...Ch. 13.6 - The spring-held follower AB has a mass of 0.5 kg...Ch. 13.6 - The spring-held follower AB has a mass of 0.5 kg...Ch. 13.6 - The particle has a mass of 0.5 kg and is confined...Ch. 13.6 - A car of a roller coaster travels along a track...Ch. 13.6 - The 0.5-lb ball is guided along the vertical...Ch. 13.6 - The ball of mass misguided along the vertical...Ch. 13.6 - Prob. 102PCh. 13.6 - The pilot of the airplane executes a vertical loop...Ch. 13.6 - The collar has a mass of 2 kg and travels along...Ch. 13.6 - The particle has a mass of 0.5 kg and is confined...Ch. 13.6 - Solve Prob. 13-105 If the arm has an angular...Ch. 13.6 - The forked rod is used to move the smooth 2-lb...Ch. 13.6 - The collar, which has a weight of 3 lb. slides...Ch. 13.6 - Prob. 109PCh. 13.6 - Prob. 110PCh. 13.7 - The pilot of an airplane executes a vertical loop...Ch. 13.7 - Prob. 113PCh. 13.7 - A communications satellite is in a circular orbit...Ch. 13.7 - Prob. 115PCh. 13.7 - Prob. 116PCh. 13.7 - Prob. 117PCh. 13.7 - Prob. 118PCh. 13.7 - Prob. 119PCh. 13.7 - Prob. 120PCh. 13.7 - The rocket is in free flight along an elliptical...Ch. 13.7 - Prob. 122PCh. 13.7 - Prob. 123PCh. 13.7 - Prob. 124PCh. 13.7 - Prob. 126PCh. 13.7 - Prob. 127PCh. 13.7 - Prob. 128PCh. 13.7 - Prob. 129PCh. 13.7 - Prob. 130PCh. 13.7 - Prob. 131PCh. 13.7 - The rocket is traveling around the earth in free...Ch. 13.7 - Prob. 3CPCh. 13.7 - Prob. 1RPCh. 13.7 - Prob. 2RPCh. 13.7 - Block B rests on a smooth surface. If the...Ch. 13.7 - Prob. 4RPCh. 13.7 - Prob. 5RPCh. 13.7 - The bottle rests at a distance of 3ft from the...Ch. 13.7 - Prob. 7RP
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- The particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity = w = 3.2 rad/s. Determine the force T in the rod when 0 = 36°. The force Tis positive if in tension, negative if in compression. L Ꮎ marrow_forwardThe rate of the rotating arm is 4 rad/s when it is 3 rad/s² and 0 = 180°. Determine the force it must exert on the 0.45 kg smooth cylinder if it is confined to move along the slotted path. Motion occurs in the horizontal plane. Round your answer to 2 decimal places. 6 = 4 rad/s, 0 = 3 rad/s²/ r 0 = 180° r = (²7) marrow_forwardThe spring-held follower AB has a weight of 0.75 lb and moves back and forth as its end rolls on the contoured surface of the cam, where r=0.2 ft and z = (0.1sine) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force at the end A of the follower when e=90°. In this position the spring is compressed 0.4 ft. Neglect friction at the bearing C. z = 0.1 sin 20 0.2 ft e = 6 rad/s k = 12 lb/ft Fs FA- Tarrow_forward
- The weight of the spring held follower AB is 0.381 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.2 ft and z = (0.1sin20) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force, in Ib, at the end A of the follower where e = 45°. In this position, the spring is compressed 0.4 ft. Neglect friction at the bearing C. Round your answer to 3 decimal places. z = 0.1 sin 20 0.2 ft e = 6 rad/s A k = 12 lb/ftarrow_forwardRod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r=(1.6cosθ)m. Both collars have a mass of 0.55 kg . Motion is in the horizontal plane. Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant θ = 45∘ Determine the magnitude of the force that OA exerts on the other collar at the instant θ = 45∘arrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 37,0 = 44 deg/s, and 0 = 23 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.5-kg slider B. Neglect all friction, and let L = 0.84 m. The motion occurs in a vertical plane. Answers: F= N= i i -L m N B N 79⁰arrow_forward
- The flat circular disk rotates about a vertical axis through O with a slowly increasing angular velocity w. Prior to rotation, each of the 0.52-kg sliding blocks has the position x = 28 mm with no force in its attached spring. Each spring has a stiffness of 430 N/m. Determine the value of x for each spring for a steady speed of 279 rev/min. Also calculate the normal force N exerted by the side of the slot on the block. The force N is positive if it pushes from the side labeled A. Neglect any friction between the blocks and the slots, and neglect the mass of the springs. (Hint: Sum forces along and normal to the slot.) Answers: X = wwwwwwww N = i i -74-74- mm mm mm Narrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and 0 = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. Part 1 -L B Answer: ay = i m Slider B moves only vertically (the y-direction). Find the acceleration (positive if up, negative if down). B m y m/s²arrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and Ö = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. 0 -L- B marrow_forward
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