The equation of motion of a classical harmonic oscillator subject to an external time-dependent force F(t) is
Question:
The equation of motion of a classical harmonic oscillator subject to an external time-dependent force F(t) is m̈x = −kx + F(t). Show that the oscillator’s energy is not conserved, but that its time dependence dE/dt can be related to the power delivered to the oscillator by the agent supplying the force.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (10 reviews)
Begin with the equation of motion and multiply by veloc...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Physics questions
-
The equation of motion of a SHM oscillator is x = (0.50m) sin(2f)t, where x is in meters and t is in seconds. If the position of the oscillator is at x = 0.25 m at t = 0.25s, what is the frequency of...
-
The equation of motion of a particle in vertical SHM is given by y = (10 cm) sin [(0.50 rad/s)t]. What are the particles (a) Displacement, (b) Velocity, and (c) Acceleration at t = 1.0s?
-
The classical Bernoulli equation, below Eq. 15.2-5 we have emphasized that the mechanical energy balance and the total energy balance contain different information, since the first is a consequence...
-
To some U.S. manufacturers and labor unions, a cheap yuan value gives China's advantage in the global economy. bankers exports importers subsidies an unfair
-
At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions. As a result, three forces act on the Ball, 1 , 2 , and 3 (see the drawing). The...
-
Corporation is a wholly owned subsidiary of Seek Company. During 2011, Hide sold all of its production to Seek Company for $400,000, a price that includes a 25% gross profit. 2011 was the first year...
-
Can the environmental impacts of one EIA centre be linked to the environmental impacts of another EIA centre? Provide an example to confirm your view? Do any control or responsibility problems arise?...
-
A contract dispute between the National Football League and the Players Association arose regarding the retirement system. The NFL agreed to a settlement only if it could be shown convincingly that...
-
4. Time Again LLC produces and sells a mantel clock for $100 per unit. In 2017, 41,000 clocks were produced and 37,000 were sold. Other information for the year includes: Direct materials $42 per...
-
Consider the following two-factor model for the returns of three well-diversified assets (i.e., with no idiosyncratic risk): = 0.12 +6F +4F2, 0.04 + 1F+2F2, 0.01 - 1F + 3F2. TB = rc = (a) (10...
-
Consider a situation in which, through accident or ill-intention, all the spent nuclear fuel from a years operation of a 1 GWe light water reactor were uniformly distributed across one square...
-
Confirm by explicit computations the assertions made in Example 21.1 that the Hamiltonian is invariant under translation and rotation so that total momentum and angular momentum are conserved.
-
A manometer is mounted on a city water-supply pipe to monitor water pressure, as shown in Figure P2.4.5. However, the manometer reading of 3 ft (Hg) may be incorrect. If the pressure in the pipe is...
-
Why Cultivating Power is the Secret to Success video critique the following statement made by Abraham Lincoln: "Nearly all men can stand adversity, but if you want to test a man's character, give him...
-
A rocket is launched with a speed of 9.00 x 102 m/s vertically out from the surface of a spherical planet with a mass of 1.00 x 1025 kg and a radius of 7.00 x 107 m. What is the maximum distance from...
-
A delivery company has just unloaded a 500 N crate full of home exercise equipment in your level drive-way as shown in the picture below. You find that to get it started moving toward your garage,...
-
6 Calculate the pressure (in lb/in 2 ) on the hatch of a submarine having an area of 4 ft, if the outside water pressure is 2.5 atmospheres and the pressure inside the cabin is 1 atmosphere. Please...
-
Consider a block resting on an inclined plane with an angle of 3 0 degrees above the horizontal. The block has a weight of 5 0 N . Draw a free body diagram showing all the forces acting on the block....
-
In what situations might an employee draw money against his or her future pay?
-
Parkin Industries, a U.S. company, acquired a wholly-owned subsidiary, located in Italy, at the beginning of the current year, for 200,000. The subsidiary's functional currency is the euro. The...
-
A circular loop of flexible iron wire has an initial circumference of 165.0 cm, but its circumference is decreasing at a constant rate of 12.0 cm/s due to a tangential pull on the wire. The loop is...
-
A 10.0-cm-long solenoid of diameter 0.400 cm is wound uniformly with 800 turns. A second coil with 50 turns is wound around the solenoid at its center. What is the mutual inductance of the...
-
A straight, 2.5-m wire carries a typical household current of 1.5 A (in one direction) at a location where the earths magnetic field is 0.55 gauss from south to north. Find the magnitude and...
-
Doing a strategic analysis of GraceKennedy Limited, What is the current level of its economic performance, an indication of the factors responsible for the current performance and recommendations for...
-
How would you evaluate Cisco social media marketing success? Outline which, if any, of the mentioned media plans Cisco should pursue. Why? What are the challenges of using social media? Do you have...
-
Office Ltd manufactures furniture for computer work stations. The company uses a job costing system. Manufacturing overhead is applied to production at a predetermined overhead rate of $60 per direct...
Study smarter with the SolutionInn App