Chapter 7, Problem 105P

Given that an L-shaped member (OAB) can rotate about OA, determine the moment vector created by the force about the line OA at the instant shown in the figure below.  OA lies in the xy-plane, and the AB part is vertical. Express your answer as a Cartesian vector.

Determine the magnitude of the moment created by the force about the point A.

= MMB 241- Tutorial 1.pdf 2/3 80% + + 10. Determine a ats = 1 m v (m/s) 4 s (m) 2 11. Draw the v-t and s-t graphs if v = 0, s=0 when t=0. a (m/s²) 2 t(s) 12. Draw the v-t graph if v = 0 when t=0. Find the equation v = f(t) for each a (m/s²) 2 segment. 2 -2 13. Determine s and a when t = 3 s if s=0 when t = 0. v (m/s) 2 t(s) t(s) 2

Q.5) A cylinder is supported by spring AD and cables AB and AC as shown. The spring has an at rest length (unstretched length) of 4 meters. If the maximum allowable tension in cables AB and AC is 200 N, determine (a) the largest mass (kg) of cylinder E the system can support, (b) the necessary spring constant (stiffness) to maintain equilibrium, and (b) the tension (magnitude) in each cable when supporting the maximum load found in part (a). B 4 m 3 m A E 1 m 3 m D 5 m

Determine the moment created by the force about the point O.  Express your answer as a Cartesian vector.

4. An impeller rotating at 1150 rpm has the following data: b, = 1 ¼ in., b2 = ¾ in., d, = 7 in., d2 = 15 in., B1 = 18", B2 = 20°, cross-sectional area A = Db if vane thickness is neglected. Assuming radial inlet flow, determine the theoretical capacity in gpm head in ft horsepower 5. If the impeller in Problem (4) develops an actual head of 82 ft and delivers 850 gpm at the point of maximum efficiency and requires 22 BHP. Determine overall pump efficiency virtual velocities V2 and W2

(30 pts) Problem 1 A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A moment M mgr 4 is applied to the rod. Assume that the bowl is fixed and its rim is in the horizontal plane. HINT: It will help you to find the length l of that portion of the rod that remains outside the bowl. M 2r a) How many degrees of freedom does this system have? b) Write an equation for the virtual work in terms of the angle 0 and the motion of the center of mass (TF) c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ) a. HINT: Use the center of the bowl as the coordinate system origin for the problem. d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to solve for the equilibrium angle of the rod. DO NOT solve the equation e) In the case of an applied moment (i.e., M = mgr = -) derive an equation that can be used to 4 solve for the equilibrium angle of the rod. DO NOT solve the equation. f) Can…

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Copyright 2013 Pearson Education, publishing as Prentice Hall 2. Determine the force that the jaws J of the metal cutters exert on the smooth cable C if 100-N forces are applied to the handles. The jaws are pinned at E and A, and D and B. There is also a pin at F. E 400 mm 15° D B 30 mm² 80 mm/ 20 mm 15° $15° 20 mm 400 mm 15° 100 N 100 N 15°