Chapter 3: Equilibrium of a Particle static textbook solution 12th edition

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Transcript of Chapter 3: Equilibrium of a Particle static textbook solution 12th edition

  • 121 31. Determine the force in each cord for equilibrium of the 200-kg crate. Cord remains horizontal due to the roller at , and has a length of . Set .y = 0.75 m1.5 mABC BC 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. C B A 2 m y 3 Solutions 44918 1/21/09 4:25 PM Page 121
  • 122 32. If the 1.5-m-long cord can withstand a maximum force of , determine the force in cord and the distance y so that the 200-kg crate can be supported. BC3500 N AB 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. C B A 2 m y 3 Solutions 44918 1/21/09 4:25 PM Page 122
  • 123 33. If the mass of the girder is and its center of mass is located at point G, determine the tension developed in cables , , and for equilibrium.BDBCAB 3 Mg 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. FAB A B C D G 3045 3 Solutions 44918 1/21/09 4:25 PM Page 123
  • 124 *34. If cables and can withstand a maximum tensile force of , determine the maximum mass of the girder that can be suspended from cable so that neither cable will fail. The center of mass of the girder is located at point .G AB 20 kN BCBD 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. FAB A B C D G 3045 3 Solutions 44918 1/21/09 4:25 PM Page 124
  • 125 35. The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine the magnitudes of F and T for equilibrium.Take .u = 30 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 5 kN A B C D T O 45 u F 8 kN 36. The gusset plate is subjected to the forces of four members. Determine the force in member B and its proper orientation for equilibrium. The forces are concurrent at point O.Take .F = 12 kN u 5 kN A B C D T O 45 u F 8 kN 3 Solutions 44918 1/21/09 4:25 PM Page 125
  • 126 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 37. The towing pendant AB is subjected to the force of 50 kN exerted by a tugboat. Determine the force in each of the bridles, BC and BD, if the ship is moving forward with constant velocity. 30 A B CD 50 kN 20 3 Solutions 44918 1/21/09 4:25 PM Page 126
  • 127 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. *38. Members and support the 300-lb crate. Determine the tensile force developed in each member. ABAC A BC 4 ft 4 ft 3 ft 3 Solutions 44918 1/21/09 4:25 PM Page 127
  • 128 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 39. If members and can support a maximum tension of and , respectively, determine the largest weight of the crate that can be safely supported. 250 lb300 lb ABAC A BC 4 ft 4 ft 3 ft 3 Solutions 44918 1/21/09 4:25 PM Page 128
  • 129 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 310. The members of a truss are connected to the gusset plate. If the forces are concurrent at point O, determine the magnitudes of F and T for equilibrium.Take .u = 90 x y A O F T B 9 kN C 4 5 3 u 311. The gusset plate is subjected to the forces of three members. Determine the tension force in member C and its angle for equilibrium.The forces are concurrent at point O. Take .F = 8 kN u x y A O F T B 9 kN C 4 5 3 u 3 Solutions 44918 1/21/09 4:25 PM Page 129
  • 130 *312. If block weighs and block weighs , determine the required weight of block and the angle for equilibrium. uD 100 lbC200 lbB 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. A B D C u 30 3 Solutions 44918 1/21/09 4:25 PM Page 130
  • 131 313. If block weighs 300 lb and block weighs 275 lb, determine the required weight of block and the angle for equilibrium. uC BD 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. A B D C u 30 3 Solutions 44918 1/21/09 4:25 PM Page 131
  • 132 314. Determine the stretch in springs AC and AB for equilibrium of the 2-kg block. The springs are shown in the equilibrium position. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 3 m 3 m 4 m kAC 20 N/m kAB 30 N/m C B A D 315. The unstretched length of spring AB is 3 m. If the block is held in the equilibrium position shown, determine the mass of the block at D. 3 m 3 m 4 m kAC 20 N/m kAB 30 N/m C B A D 3 Solutions 44918 1/21/09 4:25 PM Page 132
  • 133 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. *316. Determine the tension developed in wires and required for equilibrium of the 10-kg cylinder. Take .u = 40 CB CA 30 A B C u 3 Solutions 44918 1/21/09 4:25 PM Page 133
  • 134 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 317. If cable is subjected to a tension that is twice that of cable , determine the angle for equilibrium of the 10-kg cylinder. Also, what are the tensions in wires and ?CB CA uCA CB 30 A B C u 3 Solutions 44918 1/21/09 4:25 PM Page 134
  • 135 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 318. Determine the forces in cables AC and AB needed to hold the 20-kg ball D in equilibrium. Take and .d = 1 m F = 300 N A C B F D 2 m 1.5 m d 3 Solutions 44918 1/21/09 4:25 PM Page 135
  • 136 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 319. The ball D has a mass of 20 kg.If a force of is applied horizontally to the ring at A, determine the dimension d so that the force in cable AC is zero. F = 100 N A C B F D 2 m 1.5 m d 3 Solutions 44918 1/21/09 4:25 PM Page 136
  • 137 *320. Determine the tension developed in each wire used to support the 50-kg chandelier. 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved.This material is protected under all copyrigh