W-5 lb 3. The bottom of a 5-lb vertical plunger is in the dashed position in resting equilibrium against the spring with a stiffness k of 10 lb/in. The upper and lower end of the spring is welded to the plunger and the base plate. (So, the spring can carry compressive or tensile loads.) If the plunger is lifted 1.5 inches above its equilibrium position and released from rest, what is its velocity v as it strikes the button A. Neglect friction. k= 10 lb/in.

4 - Two circular shafts are connected via a gear assembly as shown in the figure. Shaft 1 is fixed to a wall at point A. Torque T is applied to shaft 2 at point D. Shaft 1 is made of steel with a shear modulus of 85 GPa; shaft 2 is made of aluminum with a shear modulus of 28 GPa. The other relevant paramters are indicated alongside the figure. The shafts are restrained by bearings such that they do not undergo bending (i.e., it is a case of pure torsion). Determine the angular rotation at point D relative to that at point A. Shafts L₁=1.5m; L₂=1m r=50mm; ₂= 25 mm gear radii R₁-200mm; R₂=40mm Torque T=4KN-m Li C L2 * assume the gears to be rigid T

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Q3: . A crank built up from cylindrical sections by welding required a loading of 250 lb to overcome the resistance when in the post- tion shown. (a) Compute the maximum normal and shear stresses induced in the section A-A. (b) Determine the maximum shear stresses induced in parts I, II, and III. Ans. (a) (max) = 29,000 psi, T(max) = 15,000 psi (b) 10,550 psi for part I, 6880 psi for II, 15,000 psi for III --A III II 1 Dia. Dia. Fig. 2-38 250 lb 150 "Dia.

For the gear train shown, the diameters of the three solid shafts are: daB – 20 mm dcp – 25 mm der – 40 mm Knowing that for each shaft the allowable shearing stress is 60 MPa, determine the largest torque T that can be applied. 30 mm - 75 mm 30 mm 90 mm

The following tubular A36 steel shaft has an inner diameter of 25mm and an outer diameter of 35mm under the following loading condition. Determine the angle of twist of the end V. Consider: GA-36 = 75 GPa 1) What would happen if a solid shaft was used? 2) As a designer, do you recommend a solid or tubular shaft for the loading above? Why?