MECHANICAL ENGINEERING EXAM 1 (2025) SOLVED PERFECTLY TO PASS!!
components fx and fy are the same as ___ onto the x axis and the y axis -
(answer)projections
what are the two different situtions in which you can find the cartesian form of a force
as long as you know the magnitude of the force as well (in 3D) - (answer)three angles or
two points along the line of action
when you are doing a problem where you are finding the magnitude of the resultant
force from TWO FORCES in different directions, after finding the cartesian form of each
of the two forces, what is the last step to get the cartesian form of the resultant force ...
do what with the i j and k components for f1 and f2??? - (answer)add
in 3d. do we use tan (y/x) for direction angles? - (answer)no
in 3d, how do we find the direction angles
for example, what is the equation for finding alpha - (answer)cos(alpha) = absolute
value of the i component of the resultant force / absolute value of Fr
how would you find beta in 3d - (answer)cos(beta) = absolute value of the j component
of the resultant force / absolute value of Fr
which one (cross product or dot product) requires the use of the cosine - (answer)dot
product
A dotted with B is equal to what? - (answer)|A||B|cos(theta)
what is the output of the dot product (a scalar or a cartesian form?) - (answer)scalar
, MECHANICAL ENGINEERING EXAM 1 (2025) SOLVED PERFECTLY TO PASS!!
in which (Cross or dot product) will i j and k go away when you multiply components -
(answer)dot
expand A dot B into parenthesis of what it really means - (answer)(AxBx) + (AyBy) +
(AzBz)
name two reasons we use dot product - (answer)angle between two vectors, projection
of one vector onto another
if we are trying to find the projection of a force onto the line AB, then what do we do -
(answer)dot product between the force vector and uAB
do we dot product the magnitude of the force with uAB if we are trying to find the
projection of the force onto the line AB? - (answer)no
the force must be in ____ in order to dot product with a unit vector to find projections -
(answer)cartesian form
the force ____ is the same way of asking what the projection of a force is along that line -
(answer)parallel
parallel to the x axis just means find the ___ of the force onto the x axis -
(answer)projection
components fx and fy are the same as ___ onto the x axis and the y axis -
(answer)projections
what are the two different situtions in which you can find the cartesian form of a force
as long as you know the magnitude of the force as well (in 3D) - (answer)three angles or
two points along the line of action
when you are doing a problem where you are finding the magnitude of the resultant
force from TWO FORCES in different directions, after finding the cartesian form of each
of the two forces, what is the last step to get the cartesian form of the resultant force ...
do what with the i j and k components for f1 and f2??? - (answer)add
in 3d. do we use tan (y/x) for direction angles? - (answer)no
in 3d, how do we find the direction angles
for example, what is the equation for finding alpha - (answer)cos(alpha) = absolute
value of the i component of the resultant force / absolute value of Fr
how would you find beta in 3d - (answer)cos(beta) = absolute value of the j component
of the resultant force / absolute value of Fr
which one (cross product or dot product) requires the use of the cosine - (answer)dot
product
A dotted with B is equal to what? - (answer)|A||B|cos(theta)
what is the output of the dot product (a scalar or a cartesian form?) - (answer)scalar
, MECHANICAL ENGINEERING EXAM 1 (2025) SOLVED PERFECTLY TO PASS!!
in which (Cross or dot product) will i j and k go away when you multiply components -
(answer)dot
expand A dot B into parenthesis of what it really means - (answer)(AxBx) + (AyBy) +
(AzBz)
name two reasons we use dot product - (answer)angle between two vectors, projection
of one vector onto another
if we are trying to find the projection of a force onto the line AB, then what do we do -
(answer)dot product between the force vector and uAB
do we dot product the magnitude of the force with uAB if we are trying to find the
projection of the force onto the line AB? - (answer)no
the force must be in ____ in order to dot product with a unit vector to find projections -
(answer)cartesian form
the force ____ is the same way of asking what the projection of a force is along that line -
(answer)parallel
parallel to the x axis just means find the ___ of the force onto the x axis -
(answer)projection
