E M 274 SI Exam I Review

SI Leader: Riley

SI Schedule Changes for Exam Week

SUN 2/10 MON 2/11 TUE 2/12 WED 2/13 THUR 2/14

4:10-6 Howe 1252Exam Rvw w/Riley

6:10-8 Carver 305Exam Rvw w/Alex

5:10-6 Howe 1246Exam Review

NO SI

EXAM I

NO SI

Exam I Topics

VECTORS● Magnitude & Direction● Resolve into Components● Calculate Resultant

2D | OrthogonalNon-orthogonal

3D | Transverse/azimuthDirection CosinesPosition Vectors

PARTICLE EQUILIBRIUM● FBD!!● Solve system of 2 or 3 eq’ns● May use capacity constraints

2D | Springs , pulleys, geometry∑F

x = 0, ∑F

y = 0

3D | Break into components∑F

x = 0, ∑F

y = 0, ∑F

z = 0

MOMENTS● Force at a distance

2D | M = FdDefine (+) rotation

3D | M = r x FRight-hand Rule

DOT PRODUCT● Angle Between Vectors● // and ⟂ vector components● Moment about an axis● Be careful: Vector vs Scalar

2-5 |

The vertical force F acts downward at A on the two-membered

frame. Determine the magnitudes of the two components of F

directed along the axes of AB and AC. Set F = 500 N.

2-17 |

Determine the magnitude and direction of the

resultant FR

.

2-69 |

Determine the magnitude and coordinate direction

angles of the resultant force.

2-117/118 |

a) Determine the angle 𝛳 between cables AB and AC.

b) Determine the magnitude of the projected

component of the force F = { 60i + 12j ﹣40k } N

along the cable AC.

c) Determine the magnitude of the component of the

force F acting perpendicular to cable AC.

For the following problem statements, draw an FBD and write the equations of equilibrium.

3-23 |

Springs BA and BC have k = 500 N/m and an

unstretched length of 3 m. If F = 175 N, find

the displacement d of the cord from the wall.

3-23 |

Determine the magnitude of F1 and the distance y

if x = 1.5 m and F2 = 1000 N.

3-62 |

The maximum force in each rod cannot exceed

1500 N. Determine the greatest mass of the

crate that can be supported.

4-6 |

The crowbar is subjected to a vertical force of P = 25 lb at the grip, whereas it takes a force of

F = 155 lb at the claw to pull the nail out. Find

the moment of each force about point A and

determine if P is sufficient to pull out the nail.

The crowbar contacts the board at point A.

4-66 |

The force F = 30 N acts on the bracket as shown.

Determine the moment of the force about the a-a

axis of the pipe if 𝛼 = 60°, 𝛽 = 60°, and 𝛾 = 45°.