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A 94 cm is pulled aside a small distance and released. After 120 oscillations the amplitude is one-half of its starting value. The damping is proportional to the speed of the pendulum bob.
(a) What is the value of the damping coefficient ? if the behavior is described by the equation y(t) = yo e-?t cos(2?ft)?
(b) What fraction of the original amplitude will remain after 15 min?
A 75 g piece of ice at an initially unknown temperature is placed into a glass of 350 g of water sitting at room temperature when it is 75ºF in the room. The glass and ice come to thermal equilibrium at 4ºC.
Two identical piano wires have a fundamental frequency of 491 Hz when kept under the same tension. when both wires oscillate simultaneously
A coin placed on a turntable rotating at 34.1 rev/min will stay there if its center is placed no further than 10.0 cm from the axis of rotation, What is the coefficient of friction between the coin and turntable
After being struck by the stone, the boat's velocity is 1.9 m/s, due east. Illustrate what is the mass of the boat? Assume the water offers no resistance to the boat's motion.
A fisherman is fishing from a bridge and is using a "30.0-N test line." In other words, the line will sustain a maximum force of 30.0 N without breaking. What is the weight of the heaviest fish that can be pulled up vertically.
The train comes to a stop 6.0 m from the point at which it was released. What is the magnitude of train's acceleration after its wheel begins to stick.
A 3.8 kg ball is at rest on the floor in a 1.2 m ? 1.2 m ? 1.2 m room of air at STP. Air is 80% nitrogen (N2) and 20% oxygen (O2) by volume. What is the thermal energy of the air in the room
A wire streches from the top of a vertical pole to a point on level ground 16 feet from the base of the pole. if the wire makes an angle of 62 degrees withe the ground, find the height of the pole and length of the wire.
A solid cylinder of mass 148.7 kg and diameter 0.72m has mounted to rotate around its axis, the cylinder has an initial angular velocity of wi, and the mass is 26m below the cylinder
A 600 turn solenoid, 25 cm long, has a diameter of 2.3 cm. A 10 turn coil is wound tightly around the center of the solenoid. If the current in the solenoid increases uniformly from 0 to 5.0 A in 0.55 s, what would be the induced emf magnitude in t..
A daredevil on the motorcycle leaves the end of a ramp with a speed of 36.0 m/s. If his speed is 34.20 m/s while he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance. In meters
Two point charges q1 = 3.40 nC and q2 = -5.50 nC are 0.100m apart. Point A is midway between them; point B is 0.080 m from q1 and 0.060 m from q2. Take an electric potential to be zero at infinity.
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