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WorksheetsONLINE TEACHING TOOL (EQUILIBRIUM IN A SPACE 3D)
Total questions: 10
Worksheet time: 24mins
Name
Class
Date
1.
What is, the sum of forces acting on its x, y and z components when the particle is assumed as if it is at equilibrium position? (Choose the most appropriate answer)
a)
a constant
b)
a positive number
c)
zero
d)
a negative number
2.
If rBA is { - c i - f j + g k }, rDA is { b i – (e-a) j + g k}, rCA is { - (c-d) i - e j + g k}, what is the position vector for equation of equilibrium for the problem above?
a)
rResultant = { (-2c + b + d) i + (f – 2e + a) j + (3g) k }
b)
rResultant = { (-2c + b + d) i + (- f – 2e + a) j + (3g) k }
c)
rResultant = { (-2c + b + d) i + (f + 2e + a) j + (3g) k }
d)
rResultant = { (-2c + b + d) i + (f – 2e - a) j + (3g) k }
3.
Express the force F1 in Cartesian vector form.
a)
F1 = (200 i - 200 j + 283 k) lb
b)
F1 = (200 i + 200 j + 283 k) lb
c)
F1 = (-200 i + 200 j + 565 k) lb
d)
F1 = (-200 i + 200 j + 283 k) lb
4.
If F1 = F2 = 30lb, determine the angles and so that the resultant force is directed along the positive x axis and has a magnitude of FR = 20 lb.
a)
70.5°
b)
41.4°
c)
19.47°
d)
18.43°
5.
The rod AB is supported using two cables at B and a ball-and-socket joint at A.
How many unknown support reactions exist in this problem?
How many unknown support reactions exist in this problem?
a)
5 force and 1 moment reaction
b)
5 force reactions
c)
3 force and 3 moment reactions
d)
4 force and 2 moment reactions
6.
A plate is supported by a ball-and-socket joint at A, a roller joint at B, and a cable
at C. How many unknown support reactions are there in this problem?
at C. How many unknown support reactions are there in this problem?
a)
4 forces and 2 moments
b)
6 forces
c)
5 forces
d)
4 forces and 1 moment
7.
Below are the equation of equilibrium for a 3D particle
i. Σ Fx=0
ii. Σ Fy=0
iii. ΣFz=0
iv. ΣM0=0
i. Σ Fx=0
ii. Σ Fy=0
iii. ΣFz=0
iv. ΣM0=0
a)
i and ii
b)
ii and iii
c)
i, ii and iii
d)
all of the above
8.
When a 3D object is in equilibrium, it means
a)
the object is moving against gravity
b)
the acceleration of the object is constant
c)
the object is in stationary state
d)
the object will disintegrates in minutes
9.
A box is hanging on the ceiling in equilibrium position. The scalar form of the net force on the box is Σ Fx=16N, Σ Fy= 24N, Σ Fz=19N. What is the cartesian vector equation for the box?
a)
{-16i + 24j + 19k }N
b)
{16i + 24j + 19k }N
c)
{ 24j + 19i + 16k }N
d)
{-16i - 24j - 19k }N
10.
What is the coordinate of A ?
a)
{ 2i – 1.5j + 6k}
b)
{ 2i + 1.5j + 6k}
c)
{ 2i – 1.5j - 6k}
d)
{ 1.5i – 2j + 6k}
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