Chapter 9, Problem 93P

Three Wheels. Three rubber wheels are mounted on axles so that they make tight contact with each other and their centers are on a line. The wheel on the far left axle is connected to a motor that rotates it at 35.0 r.p.m.; and drives the wheel in contact with it on its right which, in turn, drives the wheel on its right. The left wheel (Wheel 1) has a diameter of d₁ = 0.22 m, the middle wheel (Wheel 2) has d₂ = 0.32 m, and the far right wheel (Wheel 3) has d3 = 0.48 m. (a) If Wheel 1 rotates clockwise, in which direction does Wheel 3 rotate? (b) What is the angular speed of Wheel 3, and what is the tangential speed on its outer edge? (c) What arrangement of the wheels gives the largest tangential speed on the outer edge of the wheel in the far right position (assuming the wheel in the far left position is driven at 35.0 r.p.m)? (d) What is the largest tangential speed on the outer edge of the wheel in the far right position? (a) (b) Angular speed of Wheel 3: (c) Number Tangential speed…

A simple log bridge in a remote area consists of 2 parallel logs with planks across them. The log has an average diameter of 300 mm. A truck moves slowly across the bridge, which spans 2.5 m. Assume that the weight of the truck is equally distributed between the 2 legs. Because the wheel base of the truck is greater than 25 m. Only 1 set of the wheels is on the bridge at a time. Thus, the wheel load on one log is equivalent to a concentrated load acting at any position along the span. In addition, the weight of 1 log and the plank it supports in equivalent to a uniform load of 65 kN/m acting on the log. 1. Determine the max permissible wheel load W based upon the allowable bending stress of of 7MPa. 2. Determine the max permissible wheel load W based upon the allowable shear stress of of 0.75MPa. 3. Determine the max permissible wheel load W based upon the allowable deflection of 6mm. E=7380 MPa

A car with a track of 1.5 m and a wheel base of 2.9 m has a steering gear mechanism of the Ackermann type. The distance between the front stub axle pivots is 1.3 m. The length of each track arm is 150 mm and the length of track rod is 1.2 m. Find the angle turned through by the outer wheel if the angle turned through by the inner wheel is 30°.