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An underdamped oscillator, where gamma = omega/3, is initially at rest and is subjected to a driving force given by
F(t)= Asin(omega*t)+Bsin(3*omega*t),
where omega is the natural frequency of the oscillator.
(a)Using the Principle of Superposition, find the motion of the oscillator.
(b) Determine the ratio of B to A that is required in order for the forced oscillation acting at a frequency of 3omega to have the same amplitude as that operating at a frequency of omega
A spherical weather balloon is filled with hydrogen until its radius is 3.00 m. Its total mass including the instruments it carries is 15.0 kg. Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. N
The tropical year, the time from vernal equinox to the next vernal equinox, Find the number of seconds in one half of a tropical year
An eagle is flying horizontally at a speed of 3.00 m/s when the fish in her talons wiggles loose and falls into the lake 5.00 m, Calculate the velocity of the fish relative to the water when it hits the water
A cylinder of gas at room temperature (20°C) has a pressure p1. To what temperature in degrees Celsius would the temperature have to be increased for pressure to be 2.7p1.
A solid sphere of radius 40.0 cm has a total positive charge of 30.0 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field
A cart carrying a vertical missile launcher moves horizontally at the constant velocity of 30.1 to the right. It launches a rocket vertically upward. The missile has an initial vertical velocity of 40.33 relative to the cart.
The splitting of ATP can be schematically given as ATP H2O ?ADP P. what is the equilibrium constant at the temperature
What is the frictional force
A total of 8.07·106 electrons are placed on an initially uncharged wire of length 3.77 m. What is the magnitude of the acceleration of a proton placed at that point in space
Two point charges, q1= 2.40 nC and q2= -6.50 nC, are 0.100 m apart. Point A is midway between them; point B is 0.080 m from q1 and 0.060 m from q2 (see the attachment). Take the electric potential to be zero at infinity.
The distance between the eyepiece and the objective lens in a certain compound microscope is 12.7 cm. The focal length of the objective is 0.540 cm, determine the overall magnification of the microscope
River Pascal with a volume flow rate of 3.3×10^5 joins with River Archimedes, that carries 1.09×106 , to form the Bernoulli River. The Bernoulli River is 120 wide and 20 deep.
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