BME 231 Exam 1 PIL With
Complete Solution
Force - ANSWER Defined by magnitude, direction, and point of application
Moment - ANSWER Defined by a force, perp. distance between the force's
line of action, and point of interest
Rigid Body - ANSWER A body in which internal points do not change
Deformable Body - ANSWER Internal points change relative distances when a
force is applied
1st Newton Law - ANSWER Equilibrium: A particle's velocity will remain
constant unless there is a nonzero force acting on it
2nd Newton Law - ANSWER F = ma; If subjected to an unbalanced force, a
particle accelerates in the same direction as that force
3rd Newton Law - ANSWER Forces of action and reaction between two
bodies are equal in magnitude, opposite in direction, and collinear
Vector - ANSWER Magnitude and direction
, Scalar - ANSWER just magnitude
Vector Components - ANSWER Ax = Acos(theta) and Ay = Asin(theta)
Vector Magnitude - ANSWER Square root of the sum of the vectors squared
Unit Vector - ANSWER Vector/Magnitude(Vector)
Dot Product - ANSWER |a||b|cos(theta) (measure of how parallel, always a
scalar)
Cross Product - ANSWER |a| |b| sin(theta) (how perpendicular they are)
Law of Cosines - ANSWER
Law of Sines - ANSWER a/sinA = b/sinB = c/sinC
Sagittal Plane - ANSWER Lateral Plane
Complete Solution
Force - ANSWER Defined by magnitude, direction, and point of application
Moment - ANSWER Defined by a force, perp. distance between the force's
line of action, and point of interest
Rigid Body - ANSWER A body in which internal points do not change
Deformable Body - ANSWER Internal points change relative distances when a
force is applied
1st Newton Law - ANSWER Equilibrium: A particle's velocity will remain
constant unless there is a nonzero force acting on it
2nd Newton Law - ANSWER F = ma; If subjected to an unbalanced force, a
particle accelerates in the same direction as that force
3rd Newton Law - ANSWER Forces of action and reaction between two
bodies are equal in magnitude, opposite in direction, and collinear
Vector - ANSWER Magnitude and direction
, Scalar - ANSWER just magnitude
Vector Components - ANSWER Ax = Acos(theta) and Ay = Asin(theta)
Vector Magnitude - ANSWER Square root of the sum of the vectors squared
Unit Vector - ANSWER Vector/Magnitude(Vector)
Dot Product - ANSWER |a||b|cos(theta) (measure of how parallel, always a
scalar)
Cross Product - ANSWER |a| |b| sin(theta) (how perpendicular they are)
Law of Cosines - ANSWER
Law of Sines - ANSWER a/sinA = b/sinB = c/sinC
Sagittal Plane - ANSWER Lateral Plane
