The two-bar linkage shown in the figure is made up of two identical uniform slender rods, each having a mass of 1.5 kg, and a massless spring with stiffness k = 50 N/m that is pinned to the ceiling at point C and attached to link BD at point D. Link AB is connected to the wall with a pin at A, and point D on the link BD is restricted to move in the vertical slot. The linkage is released from rest from the given configuration with the spring initially compressed by 0.1 m. After being released, point D travels down along the slot. Calculate the speed of point D at the instant when it is directly to the right of point A. The mass moment of inertia about the center of mass of a uniform slender rod of mass m and length L is IG = mL²/12. 0.1 m 0.5 m B 0.5 m C

An overhead view of part of a pinball game is shown. If the plunger imparts an initial speed of 4.0 m/s to the ball at time t = 0, determine the acceleration a of the ball (a) at time t = 0.07 s and (b) at time t = 0.14 s. At point F, the speed of the pinball has decreased by 16% from the initial value, and this decrease may be assumed to occur uniformly over the total distance traveled by the pinball. Use the values r = 130 mm and 0 = 67°. wwwww y L--x ★ B D E T r

A fan must accelerate 2.5 m3 / s of air, from rest to 8 m / s. If the air density is 950 g / m3, a) Determine the minimum power that must be supplied to the fan and, b) Determine the diameter of the fan blades to provide the given volumetric flow with an average speed of 8 m / s.