f ∠A
= 89 o and ∠C = 56o, find the value of ∠B.
- 35
In triangle DEF, side e = 8 cm, f = 10 cm, and the angle at D is 60°. Find side
d.
- 9.17
When the cycle in harmonic curve is repeated successively the result will be a
series of__________?
-waves
Once we know how long the projectile stayed in the air, finding the _____________ from the horizontal motion is simple.
-range
A 300-lb box is held at rest on a smooth plane by a force P inclined at an angle θ with the plane as shown in the figure. If θ = 45°, determine the value of P and the normal pressure N exerted by the plane.
-P = 212.13 lb , N = 409.81 lb
If the polygon is closed, the resultant is a vector of zero magnitude and has no direction. This is called the ________ vector.
-empty
All free-falling objects (on Earth) accelerate at a rate of _____________.
- 9.8m/s2
The motion is repeated in the same length of time.
-angular harmonic motion
175 m = _______________ yrd
-191.382
It is autonomous of the body’s mass.
-free fall
460 Kelvin = ____________ Fahrenheit
-368.33
Forces P and F acting along the bars shown in the figure maintain equilibrium of pin A. Determine the values of P.
-P = -14.76 kN
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
-F = 205.31 lb
When displacement is plotted against time, the result will be a _________?
-harmonic curve
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
- F = 205.31 lb
The maximum value of the sine function.
-1 or one
Defined as the cross product of the lever arm distance vector and the force vector.
-none of the choice
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
-F = 205.31 lb
Two vectors A and B are added by drawing the arrows which represents the vector in such a way that the initial point of B is on the terminal point of A. The resultant C = A + B, is the vector from the initial point of A to the terminal point of B.
-Polygon Method
The distance of the mass below or above from the center position, or rest position.
-displacement
Quantities that are fully described by both magnitude and a direction.
-vector
560 Kelvin = ______________ Celsius
-286.85
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
-F = 205.31 lb
The ______ in simple harmonic motion is proportional and opposite to the displacement.
-accelaration
In a certain non-concurrent force system it is found that summation of fx=-80lb, summation of fy=160lb and summation Mo=480lb-ft in a counterclockwise sense. Determine the point at which the resultant intersects the y-axis.
- 6 ft
The cylinders in the figure have the indicated weights and dimensions. Assuming smooth contact surfaces, determine the reactions at A, B, C, and D on the cylinders.
-A = 347.39 kN, B = 600 kN, C = 400.85 kN, D = 347.39 kN
Determine the values of α and θ so that the forces shown in the figure will be in equilibrium.
- α =46.57 degrees and θ = 28.96 degrees
The number of seconds it will require to make one complete vibration or one up and down is called?
-period
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F. NOTE : see fig-10 from the LIST OF FIGURE in Week-1
-F = 205.31 lb
520 mm = _______________ inch
-20.472
The effect of a certain non-concurrent force system is defined by the following data: summation of fx=90kN, summation of fy=-60kN, and summation of Mo=360kN counter clockwise. Determine the point at which the resultant intersects the x-axis.
- 6 m
When elastic bodies vibrate they produce the simplest type of periodic motion.
- simple harmonic motion or SHM
A shot at an initial velocity at an angle above the horizon.
-projectile
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
-F = 205.31 lb
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
- F = 205.31 lb
Such an object will rise until its velocity is ______________.
-0 or Zero
The figure represents the concurrent force system acting at a joint of a bridge truss. Determine the value of P and F to maintain equilibrium of the forces.
-P = 165.45 lb, F = 412.44 lb
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F. NOTE : see fig-10 from the LIST OF FIGURE in Week-1
- F = 205.31 lb
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
-F = 205.31 lb
Cords are loop around a small spacer separating two cylinders each weighing 400 lb. and pass, as shown in the fig-12 from the LIST OF FIGURE in Week-1 over a frictionless pulley to weights of 200 lb. and 400 lb. Determine the angle θ.
- θ = 60 degrees
Three forces act on a point: 3 N at 0°, 4 N at 90°, and 5 N at 217°. What is the net force?
-1.4 N, 135 degrees
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
-F = 205.31 lb
An object thrown upward with velocity will rise to a height.
-trajectory height
A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.
- 8.10 m/s2
It is a bob suspended from a very light string or rod.
-simple pendulum
The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.
- F = 205.31 lb
350 Fahrenheit = _____________ Celsius
-176.667
All free-falling objects (on Earth) accelerate at a rate of _____________.
- 9.8m/s2
Is defined as the projection of uniform circular motion on a straight line.
-simple harmonic motion
A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2 . Determine the time for the feather to fall to the surface of the moon.
-1.29 sec
The force applied is one of the three quantities of torque acceleration.
-False
If the body is in equilibrium under the action of a number of the forces, then the algebraic sum of the moments of the forces about any point is equal to one.
-False
Torque is defined as the cross product of the lever arm distance vector and the force vector.
-True
The moment of the resultant of a system of forces with respect to any axis or point is equal to the vector sum of the moments of the individual forces of the system with respect to the same access or point.
-True
The term torque was introduced into English scientific literature by Lord Kevin, in 1884.
-False
Does a bridge anchored resting on two pillars have any torque?
-Yes, but it is at equilibrium
The resultant and equilibrant of several sets of such known forces are determined by both graphical and analytical methods.
-method
The moment caused by the resultant force about some arbitrary point is equal to the sum of the moment due to all of the component forces of the system.
-True
Quantities that are fully described by a magnitude.
-scalars
The SI for torque is _______________.
-N⋅m
In triangle DEF, side e = 8 cm, f = 10 cm, and the angle at D is 60°. Find side d.
- 9.17
A body at rest or moving with uniform velocity will have acceleration
-0
To find the resultant vector's magnitude, use the _________ theorem
-Pythagorean
"Sum of all forces acting on a body is zero". This condition represents equilibrium's
-First condition
To satisfy first condition of equilibrium, if rightward forces are positive, leftward forces must be:
-negative
The moment of the resultant of a system of forces with respect to any axis or point is equal to the vector sum of the moments of the individual forces of the system with respect to the same access or point.
-Scalar
What is the magnitude of the sum of the two forces shown in the diagram below?
-46 N
The symbol of torque is the Greek word for TAO.
-False
It is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations
-Kinematics
The sum of the clockwise moments equals sum of the anticlockwise moments when the body is in equilibrium.
-True
Suzie applies a force of 40.0 N at an angle of 60 degrees up from the horizontal to a wooden rod using a spring scale. If she generates a torque of 73.0 N*m, how long was the rod?
- 2.11 m
Three forces act on a point: 3 N at 0°, 4 N at 90°, and 5 N at 217°. What is the net force?
- 1.4 N, 135 degrees
The motion of objects can not be described by words
-False
It is tendency of a force to cause an object to rotate abut an axis.
-Torque
A 5.0 m-long uniform beam is held in position by a cord as shown in the diagram. If the tension in the cord is 8.0 N, what is the weight of the beam?
- 18 N
If ∠A = 89 o and ∠C = 56o, find the value of ∠B.
- 35
Add the following vectors and determine the resultant. 3.0 m/s, 45 deg and 5.0 m/s, 135 deg
-5.38 m/s
Quantities that are fully described by both magnitude and direction.
-vectors
What is the standard unit of force?
-Newton
A bolt connecting the main and rear frame of a mountain bike requires of 15 N.m to tighten.minimum length of the wrench that will result in the required torque?
If you are capable of applying 40N of force to a wrench in any given direction, what is the minimum length of the wrench that will result in the required torque?
- 0.35 m
What force is necessary to generate a 20.0 N*m torque at an angle of 50 degrees from along a 3.00 m rod?
- 2 N
Equilibrium is the tendency of a force to cause an object to rotate about an axis.
-False
Varignon’s Theorem states that the sum of torques due to several forces applied to a single point is equal to the torque due to the sum (resultant) of the forces.
-True
The angle between the two Force is scalar is one of the three quantities of torque magnitude.
-True
A uniform rod of length 50cm and mass 0.2kg is placed on a fulcrum at a distance of 40cm from the left end of the rod. At what distance from the left end of the rod should a 0.6kg mass be hung to balance the rod?
- 45 cm
Two students are balancing on a 10m seesaw. The seesaw is designed so that each so that each side of the seesaw is 5m long. The students on the left weight 60kg and standing 3m away from the center. The student on the right weighs 45kg. The seesaw is parallel to the ground. Assume the board that makes the seesaw is massless.
What distance from the center should the student on the right be if they want the seesaw to stay parallel to the ground?
- 4 m
A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car.
- 11.2 m/s2
You are helping your aunt move a piano on wheels from one room to another. When you push the piano horizontally, it moves at constant speed. What can you say about the piano?
-It is in equilibrium because it experiences net force opposite to the friction force
Equilibrium occurs when…
all of the choices
The mathematical quantities that are used to describe the motion of objects can be divided into three categories.
-False
If a body is in rest or in uniform velocity, it is said to be in
-Equilibrium
The magnitude of torque depends on two quantities only.
-False
The vectors are translated, to a common origin.
- Parallelogram Method
If net force acting on body is zero then body is said to be.
- In equilibrium
If the polygon is closed, the resultant is a vector of zero magnitude and has no direction. This is called the ________ vector.
-empty
An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.
- 1720 m
An object thrown upward with velocity will rise to a height
-trajectory height