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Consider the free vibration of any two degrees-of-freedom system with arbitrary initial conditions, and show by examination of the subsidiary equations of Laplace transforms that the solution is the sum of normal modes.
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An oil film (n = 1.48) floating on water (n = 1.33) is illuminated by white light at normal incidence. The film is 274 nm thick. The reflected light will be predominately a single color. Find the wavelength of the domina ...
Question: A simple wheel has the form of a solid cylinder of radius r with a mass m uniformly distributed throughout its volume. The wheel is pivoted on a stationary axle through the axis of the cylinder and rotates abou ...
Question: A solenoid 4.00 cm in diameter and10.0 cm long has 500 turns and carries a current of 15.0 A. Calculate the magnetic flux through the circular cross-sectional area of the solenoid. The response must be typed, s ...
Question: A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 584 N. As the elevator later stops, the scale reading is 398 N. Assume the magnitude of the acceleration is ...
Question: The passengers in a roller coaster car feel 50% heavier than their true weight as the car goes through a dip with a 30.0 m radius of curvature. What is the car's speed at the bottom of the dip? The response mus ...
Question: When striking, the pike, a predatory fish, can accelerate from rest to a speed of 3.9m/s in 0.12s . a) What is the acceleration of the pike during this strike? Express your answer using two significant figures. ...
Question: A thin film of MgF_2 (n= 1.38) coats a piece of glass. Constructive interference is observed for the reflection of light with wavelengths of 500 nm and 625 nm. What is the thinnest film for which this can occur ...
Question: A rectangular wooden block of weight W floats with exactly one-half of its volume below the waterline. The wooden block is removed from the water bath and placed in an unknown liquid. In this liquid, only one-t ...
Please help with this problems: Suppose you walk 16m straight west and then 22.5m straight north. How far are you in meters from your starting point (numeric value only, no expression)? What is the compass direction, in ...
Question: In one of the classic nuclear physics experiments at the beginning of the 20th century, an alpha particle was accelerated towards a gold nucleus and its path was substantially deflected by the Coulomb interacti ...
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