Static of Rigid Bodies
Statics of Rigid Bodies Quiz
Test your knowledge of statics in the fascinating world of rigid bodies with our comprehensive 50-question quiz. Designed for students, professionals, and enthusiasts alike, this quiz covers various concepts including forces, moments, beams, and structural analysis.
Enhance your understanding through:
- Multiple-choice questions
- Real-world applications
- Detailed explanations for each question
Which of the ffg are vector quantities?
Linear Acceleration
Linear velocity
Linear displacement
All of the above
The simplification of the forces on the free body diagrams is done as
A particular system of rule is followed.
The force are very tentative quantity on terms of simplification and hence no simplification possible
The force are already simplified and dont need simplification
No simplification of the forces is possible
A suspension cable is supported at A and B, 120m horizontally apart with B higher than A by 48m. Concentrated loads of 100kN, 200kN and 100 kN were applied at a distance of 30m, 60m and 90 m respectively from A. The cable sags a distance of 30m measured from the chord AB at the point where the 200kN load is applied. Determine the horizontal reaction at the supports.
500kN
200kN
300kN
400kN
An assembly of beams or other elements that creates a rigid structure made of two force members all pin connected to each other.
Truss
Trust
Tuss
Struss
When will a three- force member be considered in equilibrium?
When they are coplanar
When they are concurrent or parallel
When the sum of the two forces is equal in the third force
All of the Above
A hollow square cross section consists of an 8 in. by 8 in. Square from which is subtracted a concentrically placed square 4 in. by 4 in. FInd the polar moment of inertia.
2176 in^4
2160 in^4
2340 in^4
2216 in^4
A block is resting on an incline of slope 3:4. It is subjected to a force F=875N on a slope of 3:4. Determine the component of F perpendicular to the incline.
840N
804N
480N
408N
In the simplification of the forces for the free body diagram, the net force acts at the ____ of the loading body.
Centroid
The base
The Corner
The central axis
What is a Simple Bean?
A beam supported only at its ends
A beam with more than two supports
A beam with only one support at the midspan
A beam supported with a fixed support at one end and non on the other end.
The term centroid is
The same as centre of gravity
The point of suspension
None of the above
The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis
Two forces P and Q pass through a point A which is 4m to the right of and 3m above a moment center O. Force P is 890N directed up to the right at 30 degrees with the horizontal and force Q is 445N directed up to the left at 60 degrees with the horizontal. Determine the moment of the resultant of these two forces with respect to O
1676.74N.m
1706.50N.m
1667.50N.m
1760.62N.m
A cable weighing 0.4 pound per foot and 800 feet long is to be suspended with a sag of 80 feet. Determine the maximum tension of the cable.
416 kg
456 kg
425kg
403 kg
The resultant force of a distributed load is always equal to
The area under the loading curve
Half the area under the loading curve
Twice the area under the loading curve
One-Fourth the area under the loading curve
Which of the following statements about friction is FALSE?
The magnitude of the frictional force is equal to the force which tends to move the body till the limiting value is reached.
The directions of frictional force on a surface is such as to oppose the tendency of one surface to slide relative to the other.
Friction force is always less than the force required to prevent motion
The total frictional force is dependent on the area of contact between the two surfaces.
According to the law of moments, if a number of coplanar forces acting on a particle are in equilibrium, then
The algebraic sum of their moments about any point in their plane is zero
Their algebraic sum is zero
Their Lines of action are at equal distance
The Algebraic sum of their moment about any point is equal to the moment of their resultant force about the same point.
A post is supported by a guy wire which exerts a pill of 100N on the top of the post. If the angle between the wire and the ground is 60 degrees. What is the horizontal component of the force supporting the pole?
76.6N
96.5N
50N
86.6N
The unit of the force in 5.1 system of units is
Newton D. Watt
Dyne B Kilogram
A ladder is resting on smooth ground and leaning against a rough vertical wall. The force of friction will act
Upward at its upper end
Downward at its upper end
Towards the wall at its upper end
Away from the wall at its upper end
It is also called the second moment of area
Moment of inertia
Momentum Equation
The 5 vectors: 5cm/ at 72k degrees, k=0,1,2,3,4 encompass the sides of a regular pentagon. Determine the magnitude of the vector cross product: 2.5 ((10 at 144 degrees) (10 at 216 degrees)
165.1
237.7
198.1
285.2
A block is resting on an incline of slope 5:12. It is subjected to a force F=500N on a slope of 3:4. Determine the component of F perpendicular to the incline
-430.77 N
475.03
450.37
437.05
These are quantities which have magnitude and direction.
Vector
Scale
Scalat
Victor Magtanggol
A concurrent force system in space is composed of three forces described as follows: P1 has a magnitude of 100 KN and acts through the origin and point x=3, y=4, z=2. P2 has a magnitude of 60kN and acts through the origin and point x=4, y=1, z=2. P3 has a magnitude of 80kN and acts through the origin and points x=2, y=-3, z=3. Which of the ffg most nearly gives the Z component of the resultant force?
28kN
42kN
36kN
62kN
This are quantities that has magnitude alone
Scalar
Scale
Vector
Sailor Moon
A hollow square cross section consists of an 8 in. by 8 in. Square from which is subtracted a concentrically placed square 4 in. by 4 in. FInd the polar radius of gyration with respect to a z axis passing through one of the outside corners.
6.73 in
6.50 in
6.89 in
6.25 in
The body on the 30 degree incline is acted upon by a force P inclined at 20 degree with the horizontal . If P is resolved into components parallel and perpendicular to incline and the value of the parallel component is 1350 N, compute the value of the perpendicular component.
1806.62N
1608.87N
1630.80N
1680.33N
What is the branch of engineering mechanics which refers to the study of stationary rigid bodies?
Statics
Kinematic
Dynamics
Kinetics
A truss consisting of non- coplanar members is called?
Space Truss
I Truss You <3
Plane Truss
Rigid Truss
It deals with the conditions of equilibrium of rigid bodies acted upon by a balanced system of forces.
Statics
Dynamics
Mechanics
Kinetics
Varignon’s Theorem
Varignon’s theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then
The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.
Their lines of action are at equal distances
The algebraic sum of their moments about any point in their plane is zero
Their algebraic sum is zero
The principle of transmissibility of forces states that, when a force acts upon a body, its effect is
Same at every point on its line of action.
Different at different points on its line of action
Minimum, if it acts at the centre of gravity of the body
Maximum, if it acts at the center of gravity of the body
Force P=40 N directed to the right at 20 degree from the horizontal and force Q=60N directed to the right at 45 degree from the horizontal. Determine the magnitude of the resultant of the forces P and Q.
80kN
56N
98N
65N
A cable 200m long weighs 50 N/m and is supported from two points at the same elevation. Determine the required sag if the maximum tension that the cable can carry shall not exceed 8000N.
35.1m
31.3m
40.3m
28.2m
It is a measure of the resistance of a body to angular acceleration about a given axis that is equal to the sum of the products of each element of mass in the body and the square of the element’s distance from the axis.
Moment of inertia
Momentum Equation
Moment with You
Resultant Moment
It is a system of forces whose magnitude of the resultant is zero and yet has a moment sum.
Resultant Forces
Momentum
Couple
Resultant Moment
This type of support carries forces parallel and perpendicular to the surface of the support wherein translation are restrained but rotation of members is unrestrained.
Hinged Support
Fixed Support
I Support You
Roller Support
What is usually used to move heavy loads by applying a force which is usually smaller that the weight of the load?
Incline Plane
Belt
Wedge
Axle
This type of support has a vertical reaction and a vertical load resisting load
Roller Support
Unsupported
Fixed Support
Pinned Support
A force while acting on a body may
Change its motion
Balance the forces, already acting on it
Give rise to the internal stresses in it
All of the above
Given the 3 dimensional vectors: A=i(xy)+J(2yz)+K(3zx), B=i(yz)+J(2zx)+K(3xy). Determine the magnitude of the vector sum (A+B) at coordinates (3,2,1)
29.88
32.92
24.73
27.20
This Corresponds with the center of gravity in case when the body is homogenous or with constant density
Centroid
Concentric
Centric
Centurion Rawr
A block is resting on an incline of slope 5:12 . It is subjected to a force F:250 N on a slope of 5:12 . Determine the component of F perpendicular to the incline.
-177.52 N
-175.75 N
-176.45 N
-157.65 N
What is the cross product A x B of the vectors, A=l+4j+6k and B=2i+3j+5k?
2i+7j-5k
I-j-k
2i+7j+5k
I+j+k
It is also known as second polar moments of inertia
Polar Moment of Inertia
Polar Bear
Polar Resultant Moment
Polar Momentum Equation
The forces whose lines of action are parallel to each other and act in the same directions are known as
Like parallel forces
Unlike parallel forces
Coplanar concurrent forces
Coplanar non concurrent forces
It deals with the geometry of motion
Kinematics
Newtons Law
Kinetics
Dynamics
Determine the resultant of the following forces: A= 600N at 40 degrees, B= 800N at 160 degrees and C=200N at 300 degrees.
532.78N, 53.32 degrees
522.68N, 11.57 degrees
435.94N, 235.12 degrees
627.89N, 225.81 degrees
The resultant of two forces in a plane is 400N at 120 degrees. If one of the forces is 200 lbs at 20 degrees, what is the other force?
357.56N at 114.24 degrees
477.27N at 114.38 degrees
347.77N at 114.85 degrees
435.77N at 114.27 degrees
“If two forces acting simultaneously on a particle can be represented by the two sides of a triangle taken in order that the third side represents the resultant in the opposite order”. This statement is known as?
Triangle Law of forces
Parallelogram Law
Principle of Transmissibly
Varignon's Theorem
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