Two 13-kg uniform bars are connected to form the linkage shown. Neglecting the effect of friction, determine the reaction at D immediately after the linkage is released from rest in the position shown.
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- The 1200-lb homogeneous block is placed on rollers and pushed up the 10 incline at constant speed. Determine the force P and the roller reactions at A and B.A 81-lb sheet of plywood rests on two small wooden blocks as shown. It is allowed to lean 20° from the vertical under the action of a force P which is perpendicular to the sheet. Friction at all surfaces of blocks A and B is sufficient to prevent slipping. Determine the magnitude P and the vertical reaction forces at A and B. D 4.0' 1.0' E A 5.2' DE = 3.3 ft 1.8' B 1 -20⁰End B of the uniform 2.7-kg bar AB is connected to a small roller that moves in a horizontal slot. The other end of the bar is pinned to the homogeneous 1.8-kg disk that rolls without slipping on the vertical surface. The spring attached to A has a free length of 0.3 m and a stiffness of 58 N/m. After the system is becomes horizontal. Determine the magnitude of the force P that acts on the bar at B. 2.1 m 0.24 m 0.9 m www 1.8 kg 1.5 m 2.7 kg P
- Q4.) An 8-foot-long uniform slender rod is connected to a 20-lb. block by a cord and pulley system as shown where LAO = 6 ft. The coefficient of static friction between the block and the surface is 0.6. Determine the range of rod weights for which the system remains in equilibrium. Assume friction is negligible between the pulleys and the cord. Consider both slipping and tipping. 30° 30° 6 ft 2.5 ft/ B 2 ft 40⁰ 3.5 ftA 82-lb sheet of plywood rests on two small wooden blocks as shown. It is allowed to lean 30° from the vertical under the action of a force P which is perpendicular to the sheet. Friction at all surfaces of blocks A and B is sufficient to prevent slipping. Determine the magnitude P and the vertical reaction forces at A and B. 4.0 P= 1.5 Answers: 20.5 A₂ = B₂- i 28.3 434 4.3 DE=2.9 ft d Modis lb 2.2' lb lb B -30°A system of blocks is shown in the figure. Assume the pulley is frictionless *show FBD 1. Which of the following most nearly gives the least value of P required to prevent the system of blocks from sliding to the left? 2. Which of the following most nearly gives the least value of P required to cause the system of blocks to have impending motion to the right? 3. Which of the following most nearly gives the reaction at the pulley if the system of blocks is to have an impending motion to the right?
- Q4.) The 12 kg block A and 10 kg block B are pinned to a rod having negligible mass and resting on horizontal surfaces. A horizontal force P is applied to the rod at end C increasing gradually from zero until motion first begins. a) If the coefficient of static friction between both blocks and each surface is μ = 0.45, determine the value for P at which point motion first begins and describe the motion that occurs in a few brief words. b) If the coefficient of static friction between both blocks and each surface is μ = 0.6, determine the value for P at which point motion first begins and describe the motion that occurs in a few brief words. (Hint: Consider drawing the system as one FBD for this analysis and treat each block as a particle with negligible dimensions) 100 mm 200 mm с Bo 10 kg 25° A 12 kg 12 kgFor the system shown, solve for the maximum mass M that can be suspended as shown and still maintain equilibrium. The masses of A and B are 55 kg and 135 kg, respectively. The coefficient of static friction between block B and the surface C 20° A is 0.12 and the coefficient of static friction between blocks A and B is 0.10. The M coefficient of friction between the rope and the pulley is 0.10.2 من إجمالي 3 Q3/ When the 0.05-kg body is in the position shown, the linear spring is stretched 10 mm. Determine the force P required to break contact at C. Complete solutions for (a) including the effects of the weight and (b) neglecting the weight. 60 mm 60 mm A 40 mm k = 1750 N/m 40 mm C Q4/ For equilibrium condition, determine M, and the reaction at O. 150 mm 150 60° mm M 30° 320 N 160 400 N mm Q5/ Three cables are joined at the junction ring C. Determine the tensions in cables AC and BC caused by the weight of the 30-kg cylinder.
- 3 1 kN 4 esc 2 kN Во C 2 kN Do 1 E 180 mm 1 kN F G 2m 2m 2m 2m 2m 2m 160 mm B H C K A 90 mm 0 m 1 m 1m 1m L 1m 240 N 31 PROBLEM 6.131 Arm ABC is connected by pins to a collar at B and to crank CD at C. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when 0=0. ▸ % PROBLEM 6.21 L Determine the force in each of the members located to the left of FG for the scissors roof truss shown. State whether each member is in tension or compression. A 6 & 7 * 8 of J O Jul 17 8:13 xQ3/ When the 0.05-kg body is in the position shown, the linear spring is stretched 10 mm. Determine the force P required to break contact at C. Complete solutions for (a) including the effects of the weight and (b) neglecting the weight. 60 mm- 60 mm A 40 mm k= 1750 N/m 40 mm Q4/ For equilibrium condition, determine M, and the reaction at O. 150 mm 150 60 M- mm 30 320 N 160 400 N mmThe cylinders in the figure are at rest and have the indicated weights of 500 lbs and 250 lbs respectively and dimensions. Assuming smooth contact surfaces, determine the reactions at A, B,C and D on the cylinders. The width of the enclosure is 7.6 ft.