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R.C. Hibbeler Engineering Mechanics Statics

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• 2 Solutions 44918 1/21/09 12:01 PM Page 7 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. 21. If u = 30 and T = 6 kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis. y T u x 45 8 kN 7
• 2 Solutions 44918 1/21/09 12:01 PM Page 8 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. 22. If u = 60 and T = 5 kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis. y T u x 45 8 kN 8
• 2 Solutions 44918 1/21/09 12:01 PM Page 9 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. 23. If the magnitude of the resultant force is to be 9 kN directed along the positive x axis, determine the magnitude of force T acting on the eyebolt and its angle u. y T u x 45 8 kN 9
• 2 Solutions 44918 1/21/09 12:01 PM Page 10 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. *24. Determine the magnitude of the resultant force acting on the bracket and its direction measured counterclockwise from the positive u axis. F2 150 lb v 30 u 30 45 F1 200 lb 10
• 2 Solutions 44918 1/21/09 12:01 PM Page 11 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. 25. Resolve F1 into components along the u and v axes, and determine the magnitudes of these components. F2 150 lb v 30 u 30 45 F1 200 lb 11
• 2 Solutions 44918 1/21/09 12:01 PM Page 12 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. 26. Resolve F2 into components along the u and v axes, and determine the magnitudes of these components. F2 150 lb v 30 u 30 45 F1 200 lb 12
• 2 Solutions 44918 1/21/09 12:01 PM Page 13 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. 27. If FB = 2 kN and the resultant force acts along the positive u axis, determine the magnitude of the resultant force and the angle u. y FA 3 kN u 30 B u FB 13 x A
• 2 Solutions 44918 1/21/09 12:01 PM Page 14 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. *28. If the resultant force is required to act along the positive u axis and have a magnitude of 5 kN, determine the required magnitude of FB and its direction u. y FA 3 kN u 30 B u FB 14 x A
• 2 Solutions 44918 1/21/09 12:01 PM Page 15 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. 29. The plate is subjected to the two forces at A and B as shown. If u = 60, determine the magnitude of the resultant of these two forces and its direction measured clockwise from the horizontal. FA 8 kN u A 40 B FB 6 kN 15
• 2 Solutions 44918 1/21/09 12:01 PM Page 16 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. FA 8 kN 210. Determine the angle of u for connecting member A to the plate so that the resultant force of FA and FB is directed horizontally to the right.Also, what is the magnitude of the resultant force? u A 40 B FB 6 kN 211. If the tension in the cable is 400 N, determine the magnitude and direction of the resultant force acting on the pulley. This angle is the same angle u of line AB on the tailboard block. y 400 N 30 u B x 400 N A 16
• 2 Solutions 44918 1/21/09 12:01 PM Page 17 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. *212. The device is used for surgical replacement of the knee joint. If the force acting along the leg is 360 N, determine its components along the x and y axes. y y 10 x x 60 360 N 17
• 2 Solutions 44918 1/21/09 12:01 PM Page 18 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. 213. The device is used for surgical replacement of the knee joint. If the force acting along the leg is 360 N, determine its components along the x and y axes. y y 10 x x 60 360 N 18
• 2 Solutions 44918 1/21/09 12:01 PM Page 19 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. 214. Determine the design angle u (0 u 90) for strut AB so that the 400-lb horizontal force has a component of 500 lb directed from A towards C. What is the component of force acting along member AB? Take f = 40. 400 lb A u f B C 215. Determine the design angle f (0 f 90) between struts AB and AC so that the 400-lb horizontal force has a component of 600 lb which acts up to the left, in the same direction as from B towards A. Take u = 30. 400 lb A u f B C 19
• 2 Solutions 44918 1/21/09 12:01 PM Page 20 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. v *216. Resolve F1 into components along the u and v axes and determine the magnitudes of these components. F1 250 N F2 150 N 30 u 30 105 v 217. Resolve F2 into components along the u and v axes and determine the magnitudes of these components. F1 250 N F2 150 N 30 30 105 20 u
• 2 Solutions 44918 1/21/09 12:01 PM Page 21 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. 218. The truck is to be towed using two ropes. Determine the magnitudes of forces FA and FB acting on each rope in order to develop a resultant force of 950 N directed along the positive x axis. Set u = 50. y A B FA 20 x u FB 219. The truck is to be towed using two ropes. If the resultant force is to be 950 N, directed along the positive x axis, determine the magnitudes of forces FA and FB acting on each rope and the angle u of FB so that the magnitude of FB is a minimum. FA acts at 20 from the x axis as shown. y A B FA 20 x u FB 21
• 2 Solutions 44918 1/21/09 12:01 PM Page 22 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