TUTORIAL PROBLEM SET #4 (WEEK 40/41: PERIOD ENDING OCTOBER 13, 2007)

Transcription

1 EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 TUTORIAL PROBLEM SET #4 (WEEK 40/41: PERIOD EDIG OCTOBER 13, 2007) The prolem set provides representtive smple of questions on relevnt course mteril nd concepts covered in the lectures. The tutoril prolems sets re intended to develop good study hits nd ecome engged in the lerning process. The mid-term exm on Octoer 18 will cover topics up to nd including Tutoril Prolem Set #4. 1: Prolem 4-6 (pge 133) Determine the mgnitude of the force tht should e pplied t the end of the lever such tht this force cretes clockwise moment M out point O. M 15 m θ φ 30 deg 60 deg 50 mm 300 mm 2: Prolem 4-10 (pge 134) A force is pplied to the wrench. Determine the moment of this force out point O. Solve the prolem using oth sclr nlysis nd vector nlysis. 40 θ 20 deg 30 mm 200 mm Tutoril Prolem Set #4 Pge 1 of 8

2 EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 3: Prolem 4-21 (pge 136) The tool t A is used to hold power lwnmower lde sttionry while the nut is eing loosened with the wrench. If force P is pplied to the wrench t B in the direction shown, determine the moment it cretes out the nut t C. Wht is the mgnitude of force t A so tht it cretes the opposite moment out C? P 50 θ 60 deg 400 mm c mm d 12 4: Prolem 4-39 (pge 139) The curved rod lies in the x-y plne nd hs rdius r. If force cts t its end s shown, determine the moment of this force out point B. c r 80 1m 2m 3m 3m θ 45 deg Tutoril Prolem Set #4 Pge 2 of 8

3 EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 5: Prolem 4-45 (pge 140) The pipe ssemly is sujected to the force. Determine the moment of this force out point B mm c 300 mm 200 mm d 250 mm θ φ 40 deg 30 deg 6: Prolem 4-54 (pge 148) The force is pplied to the hndle of the ox wrench. Determine the component of the moment of this force out the z xis which is effective in loosening the olt c 3in 8in 2in l Tutoril Prolem Set #4 Pge 3 of 8

4 EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 7: Prolem 4-57 (pge 149) The cutting tool on the lthe exerts force on the shft in the direction shown. Determine the moment of this force out the y xis of the shft. Units Used: k k 30 mm θ 40 deg 8: Prolem 4-63 (pge 150) Determine the mgnitude of the moment of the force out the se line CA of the tripod c d e f 4m 2.5 m 1m 0.5 m 2m 1.5 m g 2m Tutoril Prolem Set #4 Pge 4 of 8

5 EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 9: Prolem 4-75 (pge 160) Three couple moments ct on the pipe ssemly. Determine the mgnitude of M 3 nd the end ngle θ so tht the resultnt couple moment is zero. θ 1 45 deg M m M m 10: Prolem 4-93 (pge 164) Express the moment of the couple cting on the rod in Crtesin vector form. Wht is the mgnitude of the couple moment? c 1.5 m 0.5 m 0.5 m d 0.8 m Tutoril Prolem Set #4 Pge 5 of 8

6 EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 11: Prolem (pge 180) The forces nd couple moments which re exerted on the toe nd heel pltes of snow ski re t, M t, nd h, M h, respectively. Replce this system y n equivlent force nd couple moment cting t point P. Express the results in Crtesin vector form. 120 mm 800 mm 50 t M t h M h 8 3 m m 12: Prolem (pge 182) Replce the loding on the frme y single resultnt force. Specify where its line of ction intersects memer CD, mesured from end C m 2 3 M m c d e 2 m 1 m 2 m 3 m θ 60 deg f 3 g 4 Tutoril Prolem Set #4 Pge 6 of 8

7 EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 13: Prolem (pge 183) Hndle forces 1 nd 2 re pplied to the electric drill. Replce this system y n equivlent resultnt force nd couple moment cting t point O. Express the results in Crtesin vector form m 0.25 m c 0.3 m : Prolem (pge 190) Replce the loding y single resultnt force, nd specify the loction of the force on the em mesured from point O. Units Used: k 10 3 w 6 k m M 15 k 500 k m 7.5 m 4.5 m Tutoril Prolem Set #4 Pge 7 of 8

8 EGI 1313 Mechnics I culty of Engineering nd Applied Science Shwn Kenny, Ph.D., P.Eng. ll 2007 Revision 0 15: Prolem (pge 192) The distriution of soil loding on the ottom of uilding sl is shown. Replce this loding y n equivlent resultnt force nd specify its loction, mesured from point O. Units Used: kip 10 3 l w 1 w 2 w 3 50 l ft 300 l ft 100 l ft 12 ft 9ft 16: Prolem (pge 193) Determine the equivlent resultnt force nd couple moment t point O. Units Used: k m w O 3 k m x wx ( ) w O 2 Tutoril Prolem Set #4 Pge 8 of 8