Resultant Forces
Centroids
Vectors
Misc
Dimensional Analysis
100
100 Points: What is the result when two forces of equal magnitude act in opposite directions?
Answer: The resultant force is zero.
100
100 Points: Define the centroid of a shape.
Answer: The centroid is the geometric center of a shape, often referred to as the center of mass or center of gravity.
100
100 Points: Define a vector.
Answer: A vector is a quantity that has both magnitude and direction.
100
100 Points: What is the SI unit of force?
Answer: The SI unit of force is the Newton (N).
100
100 Points: What is dimensional analysis?
Answer: Dimensional analysis is a method used to analyze the relationships between physical quantities by examining their dimensions or units.
200
200 Points: Define the term "resultant force."
Answer: The resultant force is the single force that has the same effect as all the individual forces acting on an object combined.
200
200 Points:What is the centroid of a rectangle?
Answer: The centroid of a rectangle is at the intersection of its diagonals, which is also the geometric center of the rectangle.
200
200 Points: What is the difference between a scalar and a vector?
Answer: A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction.
200
Define equilibrium in the context of forces.
Answer: Equilibrium occurs when the net force acting on an object is zero, meaning the object is either at rest or moving with constant velocity.
200
What is the unit for atleast 3 of these( force, light, speed, distance, sound, frequency)
(N, Lux, m/s , m, decibal, Hz)
300
300 Points: If a force of 2 kilo Newtons acts to the right and a force of 30 kn Newtons acts to the left, what is the resultant force in MEGA newtons?
Answer: Resultant force = 30*10^3 N (left) - 20*10 N (right) = .001 *10^6N (left).
300
200 Points: How does the centroid of a right triangle relate to its sides?
Answer: The centroid of a triangle is located at 1/3 the length and hieght relative to the right angle
300
300 Points: If vector A has a magnitude of 10 and vector B has a magnitude of 15, what is the magnitude of their sum?
18.0277
300
300 Points: What is the principle of moments?
Answer: The principle of moments states that for an object in rotational equilibrium, the sum of the clockwise moments about any point is equal to the sum of the counterclockwise moments about the same point.
300
what arethe the units that make up a newton and derive them
kg(m/s^2)
400
What is the resultant force of three forces acting at right angles to each other: 5 N north, 12 N east, and 15 N downward?
Use the Pythagorean theorem to find the magnitude of the resultant force: Resultant force = sqrt((10N)^2 + (12 N)^2 ) ≈ 15.6 N
400
400 Points: Explain how to find the centroid of a composite shape.
Answer: Divide the composite shape into simpler shapes, find the centroid of each simpler shape, and then use the weighted average of these centroids based on their areas.
400
400 Points: How is the direction of a vector represented?
Answer: The direction of a vector is often represented by an angle relative to a reference axis or by unit vectors along specific directions (e.g., i, j, k in Cartesian coordinates).
400
400 Points: Explain the difference between static and dynamic equilibrium.
Answer: Static equilibrium occurs when an object is at rest or stationary, whereas dynamic equilibrium occurs when an object is moving at a constant velocity.
400
400 Points: If the dimensions of velocity (v) are [LT^−1] and the dimensions of time (t) are [T], what are the dimensions of distance?
Since velocity v is defined as distance d divided by time t rearranging the equation gives d=v×t. Therefore, the dimensions of distance must be [L].
500
F1 = 10N F2 = 20N F3 =10N give me the resultant
12.39N
500
500 Points: If a triangle has vertices at (0,0), (4,0), and (0,6), find its centroid.
Answer: The centroid of a triangle is at the average of its vertices' coordinates, so (0 + 4 + 0)/3 = 4/3 and (0 + 0 + 6)/3 = 2. The centroid is at (4/3, 2).
500
500 Points: Given two vectors A and B, find the vector resulting from their dot product if A = (2, 3, 1) and B = (4, -1, 2).
Answer: To find the cross product of two vectors, use the formula: A@B=(AxBx+AyBy+AzBz) = 7
500
500 Points: State Newton's 3 laws of motion.
1= inerita
2= f=m*a
3= action reaction
500
In the equation E=mc^2, where E is energy, m is mass, and c is the speed of light, derive the dimensions of energy.
Answer: Since E=mc^2, and m has dimensions [M] and c has dimensions [LT^−1], energy (E) must have dimensions [M L^2 T^−2].