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Show that the normal modes of the system of Problem are orthogonal.
Problem
Figure shows a degenerate 3 DOF. Its characteristic equation yields one zero root and two e1astic vibration frequencies. Discuss the physical significance that three coordinates are required but only two natural frequencies are obtained.
A commuter backs her minivan out of her driveway with a constant acceleration of 1.4 m/s2. what is her acceleration in meters per square second
How can you sort out the problem of checking the water level in the tank without going to the rooftop every time the water flow is low or water stops flowing?
A charge q is located at the tip of a hollow cone (such as an ice cream cone without the ice cream) with surface charge density σ . The slant height of the cone is L, and the half-angle at the vertex is θ . What can you say about the force on the ..
In one such decay, the electron and the neutrino are emitted at right angles to each other. The electron(mass 9.11 x 10^-31kg) has a speed of 5.00×10^7m/s and the neutrino has a momentum of 8.10×10^-24kg m/s. What is the recoil speed of the nucleu..
A bug of mass 2.6 g is sitting at the edge of a CD of radius 6.0 cm. what is the angular momentum of the bug
In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles, What is the magnitude of Betty's force
A long coaxial cable consists of two thin walled concentric conducting cylinders with radii a and b. The inner cylinder carries a current I (out of page) and the outer provides the return path for that current. The current creates a magnetic field..
A circular coil with one turn is in a perpendicular (timedependent) magnetic field given by B = 0.400 -0.0800 t Tesla, where time t is in seconds. Calculate the radius of the coil
a how far is alpha from their mutual center of mass when alpha and beta are 100km apart?b what is the velocity of their
In a chase scene, a movie stuntman runs horizontally off the flat roof of one building and lands on another roof 2.1m lower. If the gap between the buildings is 4.8m wide, how fast must he run to just barely cross the gap? In other words, what is his..
What is the potential difference between two parallel plates if a 42.2 μC charge gains 3.7 x 10-4 J of electric potential energy when moved from one plate to the other?
The period of the earth around the sun is 1 year and its distance is 150 million km from the sun. What is the orbital velocity of the asteroid
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