MA 125 Workshop 1 Thursday, January 26, 2023
Namesofallgroupmembers: Recitationsection:
PledgeandSignatures:
Required An object is to be moved vertically upward by a crane. As the crane cannot get directly above the
object, three ropes are attached to guide the object. One rope is pulled parallel to the ground with a
force F1 of 100 newtons in a direction 30◦ north of east. The second rope is pulled parallel to the
ground with a force F2 of 70 newtons in a direction 80◦ south of east. Assume the crane is attached
to the third rope and can pull with a total force
F3 ∥ = ∥3000 newtons whereF3 = x i + y j + zk is the
force vector of the crane. (Assumei vector points east, jvector points north, and kvector points
vertically up.)
i + y j + zk.
F3 =yxin
(a) Use the fact that the object does not move horizontally to find x and
(b) Use the fact thatF3∥ ∥= 3000 Newtons to find z.
(c) What is the resulting (total) force on the object?
Namesofallgroupmembers: Recitationsection:
PledgeandSignatures:
Required An object is to be moved vertically upward by a crane. As the crane cannot get directly above the
object, three ropes are attached to guide the object. One rope is pulled parallel to the ground with a
force F1 of 100 newtons in a direction 30◦ north of east. The second rope is pulled parallel to the
ground with a force F2 of 70 newtons in a direction 80◦ south of east. Assume the crane is attached
to the third rope and can pull with a total force
F3 ∥ = ∥3000 newtons whereF3 = x i + y j + zk is the
force vector of the crane. (Assumei vector points east, jvector points north, and kvector points
vertically up.)
i + y j + zk.
F3 =yxin
(a) Use the fact that the object does not move horizontally to find x and
(b) Use the fact thatF3∥ ∥= 3000 Newtons to find z.
(c) What is the resulting (total) force on the object?
