178 results for "force".
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Question in Introduction to Calculus
Solve for $x$: $c(a^2)^x + d(a)^{x+1}=b$ (there is only one solution for this example).
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Question in Mechanics
Find angular speed and reaction force of a swinging pendulum.
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Question in Bill's workspace
Solve for $x$ each of the following equations: $n^{ax+b}=m^{cx}$ and $p^{rx^2}=q^{sx}$.
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Question in Bill's workspace
Solve for $x$: $c(a^2)^x + d(a)^{x+1}=b$ (there is only one solution for this example).
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Question in Bill's workspace
Solve for $x$: $a\cosh(x)+b\sinh(x)=c$. There are two solutions for this example.
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Question in CHY1201 - SpectroscopyThe reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to "to do" list).
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Question in Content created by Newcastle University
Find the solution of a first order separable differential equation of the form $a\sin(x)y'=by\cos(x)$.
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Question in Trignometry
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.
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Question in Trignometry
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.
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Question in Trignometry
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ direction but the positive $y$.
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Question in Trignometry
Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.
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Question in Trignometry
Another example of finding the $x$ and $y$ components when multiple forces are applied at different angles to a particle.
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Question in Trignometry
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.
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Question in Trignometry
Determine the resultant of three random 2-D vectors.
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Question in Trignometry
Replace two parallel forces with an equivalent single force
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Question in Trignometry
Find the reactions of a rigid body (a triangular plate) at a pin and roller, using the three-force body principle.
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Question in NUMBAS workshop demo
A block of given mass is sliding down the plane with a given acceration. Find the normal reaction force, the parallel force and the missing value of a and mu.
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Question in Keith's workspace
Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.
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Question in Mechanics
Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.
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Exam (9 questions) in Keith's workspace
These practice questions cover:
- resolving axial forces in a truss structure
- stress & strain in a closed thin-walled pressure vessel (an example of 2D plane stress)
- use of Mohr's circle for determining principal stresses for a 2D plane stress case
- calculation of invariants for general 3D stress case, leading to von Mises stress and principal stresses
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Question in Katrin's workspace
An A-frame structure supporting a load at the top. Simple because both legs are two force bodies.
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Question in Keith's workspace
An A-frame structure supporting a load at the top. Simple because both legs are two force bodies.
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Question in Mechanics
Two masses in a box which is attached to a string. Finding acceleration by modelling the two masses as the whole system. Find forces exerted by the two masses.
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Question in Mechanics
A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$. This is then used to determine the magnitude of force that must be exceeded to achieve movement when the force is applied horizontally and at two different angles to the horizontal.
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Question in Mechanics
A block of given mass is sliding down the plane, with given acceleration. Find the normal reaction force, the coefficient of friction, and the distance travelled before reaching a given speed.
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Question in Mechanics
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ direction but the positive $y$.
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Question in Mechanics
Using $F=ma$ to find magnitudes of unknown forces acting on an accelerating body.
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Question in Mechanics
Three forces act on a particle. You're given the magnitude of one, and the directions of all three. Find the magnitudes of the other two forces.
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Question in Mechanics
A particle is in equilibrium on an incline. Four forces are acting on it. You're given the angle of the incline and three forces. Resolve the forces to find the angle and magnitude of the other force.
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Question in Timur's workspace
Determine the resultant of three random 2-D vectors.