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?
4m
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?
45cm
Equilibrium occurs when…
all of the choices
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?
18N
Equilibrium is the tendency of a force to cause an object to rotate about an axis.
FALSE
Torque is defined as the cross product of the lever arm distance vector and the force vector.
TRUE
To satisfy first condition of equilibrium, if rightward forces are positive, leftward forces must be:
negative
The force applied is one of the three quantities of torque acceleration.
FALSE
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
"Sum of all forces acting on a body is zero". This condition represents equilibrium's
First condition
The sum of the clockwise moments equals sum of the anticlockwise moments when the body is in equilibrium.
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
If a body is in rest or in uniform velocity, it is said to be in
Equilibrium
The symbol of torque is the Greek word for TAO.
FALSE
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
Does a bridge anchored resting on two pillars have any torque?
Yes, but it is at equilibrium
A body at rest or moving with uniform velocity will have acceleration
0
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
The length of the lever arm connecting the axis to the point of the force application is one of the three quantities of torque magnitude.
TRUE
The angle between the two Force is scalar is one of the three quantities of torque magnitude.
TRUE
What is the magnitude of the sum of the two forces shown in the diagram below?
46 N
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
A bolt connecting the main and rear frame of a mountain bike requires of 15 N.m to tighten. 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?
0.375 m
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
If net force acting on body is zero then body is said to be.
In equilibrium
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
If there is a great number of forces, the ___________ to this system would potentially be simpler if the forces that are applied to the system are easy to break into components.
algebraic solution
A cylinder weighing 400 lb. is held against a smooth incline by means of the weightless rod AB in the figure. Determine the forces P and N exerted on the cylinder by the rod and the incline.
P = 0.9038 N , N = 418.60 lb
If there is a great number of forces, the ___________ to this system would potentially be simpler if the forces that are applied to the system are easy to break into components.
algebraic solution
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
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 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
Since all of these forces are not entirely parallel, the position of the resultant can be established using the ________ or ________ methods.
graphical, algebraic
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
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 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
Determine the magnitude of P and F necessary to keep the concurrent force system in the figure in equilibrium.
P = -133.25 N, F = 86.37 N
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
Two weightless bars pinned together as shown in the fig-15 from the LIST OF FIGURE in Week-1 support a load of 35 kN. Determine the forces P and F acting respectively along bars AB and AC that maintain equilibrium of pin A.
P = 90.14 kN, F = 64.03 kN
________________ is defined as the forces which lies in the line of activity but do not intersect or forms a parallel at a common point.
Non-Concurrent Forces
The cable and boom shown in the figure support a load of 600 lb. Determine the tensile force T in the cable and the compressive for C in the boom.
T = 439.24 lb , C = 537.94 lb
One ____________ would be to resolve a pair of forces using the parallelogram or triangle method into a resultant.
graphical method
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
Determine the resultant of the force system shown in the figure and its x and y intercepts.
161.314 lb
The three forces in the figure create a vertical resultant acting through point A. If T is known to be 361 lb., compute the values of F and P.
F = 253.29 lb , P = 507.06 lb
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
The resultant of non-concurrent force system is defined according to _________, __________, and ___________.
magnitude, inclination, position
The ______ in simple harmonic motion is proportional and opposite to the displacement.
acceleration
All free-falling objects (on Earth) accelerate at a rate of _____________.
9.8m/s2
The distance of the mass below or above from the center position, or rest position.
displacement
Is defined as the projection of uniform circular motion on a straight line.
simple harmonic motion
Free-falling objects always encounter air resistance.
FALSE
In reality we are dealing with two sets of independent equations for the x and y directions and can envision the problem as a superposition of two completely independent motions that together are equivalent to the projectile motion.
TRUE
Once we know how long the projectile stayed in the air, finding the _____________ from the horizontal motion is simple.
range
It is a bob suspended from a very light string or rod.
simple pendulum
It is autonomous of the body’s mass.
free fall
An object thrown upward with velocity will rise to a height.
trajectory height
When displacement is plotted against time, the result will be a _________?
harmonic curve
A shot at an initial velocity at an angle above the horizon.
projectile
When elastic bodies vibrate they produce the simplest type of periodic motion.
simple harmonic motion or SHM
Such an object will rise until its velocity is ______________.
0 or zero
The motion is repeated in the same length of time.
angular harmonic motion
The maximum value of the sine function.
1 or one
When the cycle in harmonic curve is repeated successively the result will be a series of__________?
waves
The number of seconds it will require to make one complete vibration or one up and down is called?
period
An object that is falling under the sole influence of gravity.
free falling object
The motion of a body which repeats itself at regular intervals of time or period.
periodic motion
If there is a great number of forces, the ___________ to this system would potentially be simpler if the forces that are applied to the system are easy to break into components.
algebraic solution
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
The ______ in simple harmonic motion is proportional and opposite to the displacement.
acceleration
The motion is repeated in the same length of time.
angular harmonic motion
460 Kelvin = ____________ Fahrenheit
368.33
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
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 ∠A = 89 o and ∠C = 56o, find the value of ∠B.
35
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
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
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 motion is repeated in the same length of time.
angular harmonic motion
In triangle DEF, side e = 8 cm, f = 10 cm, and the angle at D is 60°. Find side d.
9.17
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
The ______ in simple harmonic motion is proportional and opposite to the displacement.
acceleration
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
175 m = _______________ yrd
191.382
When elastic bodies vibrate they produce the simplest type of periodic motion.
simple harmonic motion or SHM
Quantities that are fully described by both magnitude and a direction.
vectors
520 mm = _______________ inch
20.472
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
It is tendency of a force to cause an object to rotate abut an axis.
Torque
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
560 Kelvin = ______________ Celsius
286.85
Defined as the cross product of the lever arm distance vector and the force vector.
none of the choices
If the polygon is closed, the resultant is a vector of zero magnitude and has no direction. This is called the ________ vector.
empty
Comments
Post a Comment