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For the following single-degree of freedom systems:
a) Write the equilibrium equation
b) Calculate the natural frequency ω
c) Calculate the period T.
A generator is designed to produce a maximum emf of170 V while rotating with an angular speed of 3700 rpm. determine how many turns of wire are needed
A tightrope walker is practicing. She is balanced on a rope at the exact midpoint of the rope. The tension in the rope is 4000 N, and the mass of the tightrope walker is 56 kg. Consider the left side of the rope. What angle with the horizontal does i..
A spring with a constant k of 30 N/m is stretched a distance of 20 cm (0.20m) from its original unstretched position
A car of mass 1290 kg rests on a hydraulic lift with a piston of radius 0.22 m that is connected to a second piston of radius 0.027 m. what is the force at the second piston
There are two categories of ultraviolet light. Ultraviolet A ( UVA ) has a wavelength ranging from 320 nm to 400nm. What are the ranges of the wave numbers for UVB
An ocean liner leaves New York City and travels 43° north of east for 189 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions.
A uniform magnetic field is at right angles to the plane of a wire loop. The field decreases by 0.15Tin 1.0 x 103 s, What is the area of the loop
A molecule of DNA (deoxyribonucleic acid) is 2.07 µm long. The ends of the molecule become singly ionized: negative on one end, positive on the other. Determine the effective spring constant of the molecule
Two equal forces are applied to a door. The first force is applied at the midpoint of the door; the second force is applied at the doorknob. Which force exerts the greater torque
A concave shaving mirror has a radius of curvature of 44 centimeter. Compute how far is the mirror from the face
An AC generator supplies an rms voltage of 120 V at 60.0 Hz. It is connected in series with a 0.400 H inductor, What is the impedance of the circuit
Susan, driving north at 51mph, and Shawn, driving east at 55mph, are approaching an intersection. What is Shawn's speed relative to Susan's reference frame
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