Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 20.3, Problem 23P
To determine
The angular velocity of the axle
The angular velocity of the axle
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Two mating involute spur gear of 20° pressure angle have a gear ratio of 2. The number of teeth on the pinion is 20 and its speed is 250 r.p.m. The module pitch of the teeth is 12 mm. If the addendum on each wheel is such that the path of approach and the path of recess on each side are half the maximum possible length, find : a. The addendum for pinion and gear wheel; b. The length of the arc of contact; c. The maximum velocity of sliding during approach and recess. Assume pinion to be the driver.
Chapter 20 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 20.3 - Prob. 1PCh. 20.3 - Prob. 2PCh. 20.3 - Prob. 3PCh. 20.3 - Prob. 4PCh. 20.3 - Prob. 5PCh. 20.3 - Prob. 6PCh. 20.3 - Prob. 7PCh. 20.3 - The disk rotates about the shaft S, while the...Ch. 20.3 - The electric fan is mounted on a swivel support...Ch. 20.3 - Prob. 11P
Ch. 20.3 - Prob. 12PCh. 20.3 - The right circular cone rotates about the z axis...Ch. 20.3 - Prob. 14PCh. 20.3 - Prob. 15PCh. 20.3 - Prob. 16PCh. 20.3 - Prob. 17PCh. 20.3 - Prob. 18PCh. 20.3 - Prob. 20PCh. 20.3 - Prob. 21PCh. 20.3 - Prob. 22PCh. 20.3 - Prob. 23PCh. 20.3 - Prob. 24PCh. 20.3 - Prob. 25PCh. 20.3 - Rod AB is attached to collars at its ends by using...Ch. 20.3 - Rod AB is attached to collars at its ends by using...Ch. 20.3 - If the rod is attached with ball-and-socket joints...Ch. 20.3 - Prob. 29PCh. 20.3 - If collar A has a speed vA = 4 m/s, determine the...Ch. 20.3 - Prob. 31PCh. 20.3 - If the collar A in Prob. 20-31 has a deceleration...Ch. 20.3 - Prob. 33PCh. 20.3 - Rod CD is attached to the rotating arms using...Ch. 20.3 - Prob. 35PCh. 20.3 - Prob. 36PCh. 20.4 - So1ve Example 20.5 such that the x, y, z axes move...Ch. 20.4 - Prob. 38PCh. 20.4 - Prob. 39PCh. 20.4 - At the instant = 60, the construction lift is...Ch. 20.4 - Prob. 41PCh. 20.4 - Prob. 42PCh. 20.4 - Prob. 43PCh. 20.4 - Prob. 44PCh. 20.4 - Prob. 45PCh. 20.4 - Prob. 46PCh. 20.4 - Prob. 47PCh. 20.4 - At the given instant the rod is turning about the...Ch. 20.4 - Prob. 49PCh. 20.4 - Prob. 50PCh. 20.4 - Prob. 51PCh. 20.4 - Prob. 52PCh. 20.4 - Prob. 53PCh. 20.4 - At the instant shown, the arm AB is rotating about...
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- 2. A shaft is supported on bearings A and B, 800 mm between centres. A 20 degrees straight tooth spur gear having 600 mm pitch diameter, is located 200 mm to the right of the left hand bearing A, and a 700 mm diameter pulley is mounted 250 mm towards the left of bearing B. The gear is driven by a pinion with a downward tangential force while the pulley drives a horizontal belt having 180 degrees angle of wrap. The pulley also serves as a flywheel and weighs 2000 N. The maximum belt tension is 3000 N and the tension ratio is 3: 1. Determine the maximum bending moment and the necessary shaft diameter if the allowable shear stress of the material is 40 MPa.arrow_forwardTwo involute gear wheels work with an angle of pressure of 20⁰ and rotate in opposite directions. The smaller wheel has 20 teeth of 5 mm module and rotates at 2000 rev/min. The larger wheel has 80 teeth and is the driven member. If the contact ratio is 1:4, and if the are of recess is 1-2 times as large as the are of approach, determine: (a) the addenda of the teeth on both wheels, (b) the greatest speed of sliding between the teeth, (c) the center distance of the gears, and (d) the working depth.arrow_forwardA gear system shown in Figure 1 consists of gear B and C with radii of 80 mm and 200 mm, respectively. Gear B with a mass of 0.9 kg is free to rotate at point A of the arm AO. The arm is free to rotate on the fixed axis O. Whereas, gear C is fixed on the axles O in a way that it will never rotate. The arm has a mass of 0.8 kg and a radius of gyration about O of 140 mm. Moreover, the arm AO has a center of gravity located at point G. G 0.1 ml 80 mm 200 mm Figure 1: Gear system 1.1. If the uniform torque of 4 Nm is applied to the arm OA, initially at rest in the horizontal position, calculate the velocity of point A as it reaches the top point A'. 1.2. Use the table method to calculate the angular speed of gear B, provided that the arm rotates at 5,118 rad/s.arrow_forward
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