Three Dimensional Equilibrium Force

Particle P is in equilibrium with five (5) forces acting on it in 3-D space. How many scalar equations of equilibrium can be written for point P?

• 1

• 2

• 3

• 6

Four forces act at point A and point A is in equilibrium. Select the correct force vector P.

• {10 i + 10 j + 20 k}lb

• {-10 i – 20 j – 10 k} lb

• {+ 20 i – 10 j – 10 k}lb

• {20 i + 10 j + 10 k}lb

In 3-D, when you don’t know the direction or the magnitude of a force, how many unknowns do you have corresponding to that force?

• One

• Two

• Three

• Four

What is equilibrium?

i) Where the various influences on that object are in balance.

ii) The resultant of all forces acting on on it is zero.

iii) A body is in equilibrium if all forces and moments applied to it are in unbalance.

• i

• i and ii

• ii and iii

• All of the above

What is the force system shown in figure?

• a) Non-Coplanar Concurrent force, b) Non-Coplanar Non-Concurrent force and c) Non-Coplanar Parallel Force.

• a) Non-Coplanar Non-Concurrent force, b) Non-Coplanar Concurrent force and c) Non-Coplanar Parallel Force.

• a) Non-Coplanar Non-Concurrent force, b) Coplanar Concurrent force and c) Non-Coplanar Parallel Force.

• a) Non-Coplanar Parallel Force, b) Non-Coplanar Non-Concurrent force, and c) Non-Coplanar Concurrent force.

In 3-D, when a particle is in equilibrium, which of the following equations apply?

• 
• 
• 
• All of the above

Determine the resultant of the forces in figure.

• 64 kN

• 90 kN

• 4100 kN

• 56 kN

Determine the z location of the resultant of the force system as shown in figure.

• -2.55 m

• 2.55 m

• 2.40 m

• -2.40 m

Draw free body diagram of the object shown in figure

• 
• 
• 
• 

The square steel plate has a mass of 1800 kg with

mass center at its center G. Calculate the tension in

each of the three cables with which the plate is

lifted while remaining horizontal.

• T_A = T_B = T_C = 9.87 kN

• T_A = T_B 5.41 kN, T_C = 9.87 kN

• T_A = T_B = 9.87 kN, T_C = 5.41 kN,

• T_A = T_B = T_C = 5.41 kN