A shaft carrying a V-belt pulley and a gear is shown in the 150 attached image. Pulley A with a diameter of d mm receives power from a motor through a belt with the tensions shown. Belt tension T₁ 150 N and tension T2 = 600 N. Power is transmitted through the shaft and delivered to gear B, which drives an additional gear (not shown) at a pressure angle of 20 deg relative to the z axis. The gear at B has a pitch diameter of d = 200 mm. The rotating shaft is simply-supported by frictionless bearings at points O and C. The shaft has a nominal diameter of 25 mm, and all dimensions are in units of millimeters. = = (a) Determine the value of the force W that acts on gear B. (b) Find the magnitudes of the bearing reaction forces. (c) Draw shear force and bending moment diagrams for both the horizontal and vertical planes. (d) At the point of maximum bending moment, determine the bending stress and the torsional shear stress. (e) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress.

Q-5 A shaft carries four masses in parallel planes A, B, C and D in this order along its length. The masses at B and C are 18 kg and 12.5 kg respectively, and each has an eccentricity of 60 mm. The masses at A and D have an eccentricity of 80 mm. The angle between the masses at B and C is 100° and that between the masses at B and A is 190°, both being measured in the same direction. The axial distance between the planes A and B is 100 mm and that between B and C is 200 mm. If the shaft is in complete dynamic balance, determine: 1. The magnitude of the masses at A and D; 2. the distance between planes A and D; and 3. the angular position of the mass at D.

Ex. #5] Pinion 2 in the figure runs at 1 750 rpm and transmits 2.5 kW to idler gear 3. The teeth are cut on the 20° full-depth system and have a module of m= 2.5 mm. Draw the free body diagram of gear 3 and shows all the forces acting upon it. Determine the forces acting upon gear 3. The direction of rotation of gear 3, as shown, is counterclockwise. GIVEN: Figure shown N₂ = 1750 rpm $=200 P = 2.5 kW m = 2.5 mm 3 0₂ REQUIRED: CS Draw the freehody diagram of gear 3 and compute the forces acting on it.

In the image on the right, there is a red gear G1 on the left with a radius of r1 = 2.81cm. Gear G1 is locked to the green gear G2 with a radius of r2 = 0.734cm. Gear G2 then shares the same axle as the blue circular saw G3, which has a radius of r3 known to make a full rotation every T = 0.836s. Using at least 6 significant digits in your calculations, compute the following: V3! 12.8cm. Gear G1 is W1 a) The angular speed wi of gear G1. Remember that angular speed is measured in radians per T3 r2 unit time. G2 b) The rim speed vi of gear G1. Since gears G1 and G2 are locked together, the rim speed of G2 is also v1. G1 G3 c) The angular speed w2 of gear G2. Since gear G2 and saw G3 share the same axle, the angular speed of G3 is also w2. d) The rim speed v3 of saw G3.