Engineering Mechanics: Dynamics (14th Edition)
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 ωA .

The angular velocity of the axle ωB .

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In the given planetary gear system, the free end of Driving Shaft E has an angular velocity of we = 11.2345 rpm, CCW with respect to the point of view from Point A. The radius of the tree Planet gears is B = 40 mm, sun gear D = 60 mm, and ring gear C = 140 mm. The centers of the three planet gears B are pin connected to carrier A, which is one whole rigid body. The three planet gears B are allowed only to spin and not to turn. Determine the: angular velocity (in rpm) of the carrier A angular velocity (in rpm) of ring gear C and the angular velocity (in rpm) of each planet gear B Driving Shaft E Sun Gear D 3 Planetary Gears B Carrier A Ring Gear C
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.
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.

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Engineering Mechanics: Dynamics (14th Edition)

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