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Q. Suppose that a structure of arbitrary complexity has a number of forces applied to it (at various points) and yet is in static equilibrium. The principle of virtual work allows one to write an equation that relates the applied forces. To find this relationship, you should imagine (hence the term "virtual" work) that structure is disturbed slightly from its equilibrium position, and then calculate the ratio of resulting displacements at the points where the forces are applied.
We show this principle by considering the two downward forces, and, applied to the ends of a massless lever (see the figure). Initially, the lever is in static equilibrium. Imagine that the lever starts in the horizontal position, shown in black, and then tilts infinitesimally to the position shown in blue. Under this infinitesimal rotation, the left end of the lever moves a distance, while the right end moves a distance.
The net work done by the forces on the lever in this process is zero. (This is because equilibrium can also be defined as an energy extremum of the system. Therefore.)
Find an expression for the force using arguments based on work (do not use a torque argument).State F2 in terms of f1, h1, and h2
A superhero flies 147 m from the top of a tall building at the angle of 33 degrees below the horizontal. What is the vertical component of the superhero's displacement.
find out the magnitude of their acceleration. If the blocks move determine the magnitude of the tension in the string. If the blocks do not move determine the sum of magnitude of the forces of friction acting on the blocks. Show all the work.
What is the distance between the particles at this time? The Coulomb constant is 8.95755 × 109 N • m2/C2, the elemental charge is 1.6721 × 10-19 C, and the acceleration due to gravity is 9.8 m/s2.
A 29.0 kg sled is being pulled across a horizontal surface at a constant velocity. The pulling force has a magnitude of 85.0 N and is directed at the angle of 30.0° above the horizontal. Find out the coefficient of kinetic friction.
A chair of weight 74.0 N lies atop a horizontal floor; the floor is not frictionless. You push on the chair with a force of F = 47.0 N directed at an angle of 41.0^circ below the horizontal and the chair slides along floor.
Suppose a train engineer is climbing a vertical ladder at a speed of 0.2m/s while the train is slowly coasting east at 0.70 m/s. Find out the vector of the engineer relative to the ground in rectangular notation.
You are driving home from school steadily at 80 for 150. It then begins to rain and you slow to 50. You arrive home after driving 3 hours and 20 minutes.
The work completed by friction on the rock when it moves from point to point at the bottom of the bowl has magnitude 0.22. Just as the rock reaches point, what is the normal force on it because of the bottom of the bowl .
If the weight of a room full of water is so great, why don't the first floors of houses built over basements all collapse as flooded to the ceiling.
Estimate the distance of GPS satellite from the ground.
On a cello, the string with the largest linear density (1.54 10-2 kg/m) is C string. This string produces a fundamental frequency of 63.4 Hz and has the length of 0.795 m between the two fixed ends. Find tension in the string.
A 28.0 {rm kg} child plays on a swing having support ropes that are 2.20 {rm m} long. A friend pulls her back until the ropes are 45.0^circ from the vertical and releases her from rest.
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