Physics, 27.11.2019 20:31 cheychey1620
Consider the well-known problem of a cart of mass m moving along the x axis attached to a spring (force constant k), whose other end is held xed. if we ignore the mass of the spring, then we know that the cart executes simple harmonic motion with angular frequency ! = p k=m. 1. assuming, that the spring has mass m, that it is uniform and stretches uniformly, show that its kinetic energy is 1 6mx_ 2. (as usual x is extension of the spring from its equilibrium length.) 2. write down the lagrangian for the system of cart plus spring. write down the lagrange equation of motion. find the frequency of the small oscillations.
Answers: 3
Physics, 22.06.2019 16:50
During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. if the trebuchet launches the stones with a velocity of at an angle of 50.0Β°, (a) how long does it take the stone to hit the ground? (b) what is the maximum distance that the trebuchet can be from the castle wall to be in range? (c) how high will the stones go? show all your work.
Answers: 2
Physics, 22.06.2019 21:40
Engines for propeller-driven aircraft are limited in their maximum rotational speed by the fact that the tip speed of the propeller must not approach the speed of sound in air (mach i). taking 6 ft as a typical diameter for a propeller of a light airplane and 1100 fils as the speed of sound, find the upper limit on the rpm (revolutions per minute) of the propeller shaft.
Answers: 3
Physics, 23.06.2019 01:10
Aheat engine that operates on a carnot cycle has an efficiency of 0.420 when its low-temperature reservoir is at 10 βc.part aby how many degrees celsius must you increase the temperature of the high-temperature reservoir to increase the efficiency to 0.600 if you continue to use the same low-temperature reservoir?
Answers: 1
Consider the well-known problem of a cart of mass m moving along the x axis attached to a spring (fo...
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