Download Sample Solved Questions for Exam 1 - Statics | CE 221 and more Exams Statics in PDF only on Docsity!
Michigan State University
Department of Civil and Environmental
Engineering
CE 221 Statics (3 credits) CE 221 Statics (3 credits)
Fall Fall 20120133
Sample Test 1
Maximum time is 50 minutes
Note: - This is a closed book and notes test. You are
prohibited from using formulae and/or problem
solutions stored in the memory of your calculator. To
facilitate grading, your “answers” must be clearly
marked in boxes or underlined. Make sure that the
appropriate scientific units are clearly stated by the
answers. All work leading to the answers should be
attached and sufficiently complete for the grader to
judge partial credit and reasons for error.
Question 1 For each statement mark T for true and F for false Statement T F Mass is a vector The position vector from A to B can be expressed by the coordinates of B minus the coordinates of A. Dot product of two vectors produces a scalar equal to the product of the magnitudes of the two vectors and the cosine of the angle between them Cross product of two vectors produces a third vector in the same plane as the other two vectors. If two directional angles of a vector are 50 and 50 degrees then the third directional angle is 65. degrees. The dot product of vector F with the vector F is the square of the magnitude of vector F The cross product of A = 2 i and B = -2 j is the vector 4 k The directional cosines of the vector 3i + 4j + 0k are 3/5, 4/5 and 0. If the position vector from the y axis to the force vector F = {10 i + 20 j + 30 k} lb is r = {1 i + 2 j} ft, then the moment of F about the y-axis is 30 lf-ft. The constants in front of i , j , k of a unit vector are the directional cosines of that vector.
The coordinates at which a person is standing on the
golf course are (100, 100, 100) ft. His gulf ball
landed at the coordinates (300, 350, 100) ft. Calculate
the distance between the person and the ball.
The vector from points O to P has magnitude 60 mm and has equal direction angles with the x, y, and z axes. Determine the smallest distance from point P to the shaded plane containing points A, B, and C.
A 100 lb force vector F is aligned from A to B. Point A is located at the coordinates (2, 2, 2) and point B at (4,5,6). Calculate the moment of F about the y axis. A(2,2,2)
B(4,5,6)
X
Y
Z O F=100 lb
Calculate the angle α that will make the sum of the horizontal components of all forces equal to 50 pounds and then calculate the reactions at the support. 2 ft
If the vector A = 6 i + 6 j + 6 k and the vector B = 2 i + 3 j + 4 k, calculate the angle ϕ between the two vectors. Problem 9 If A cross product B = the vector C , calculate the angle α between the vectors A and C and the angle β between the vectors B and C.
Draw two free body diagrams; one of the ball and one for the holder
