An object of mass m is subjected to an oscillating force in the x direction given by
Question:
An object of mass m is subjected to an oscillating force in the x direction given by F0 sin(bt) where a and b are constants. Find the solution to the equation of motion of the particle. Find the particular solution for the case that x(0) = 0 and dx/dt = 0 at t = 0.
Step by Step Answer:
m dx dt2 dv dt m du dt vt v0 v 0 v0 Foa sin bt Fo m Fo sin bt m Fo S ...View the full answer
Related Video
In Physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. In this video, the concept of force and torque is demonstrated with the practical application of changing the flat tire of the car.
Students also viewed these Mathematics questions
-
Suppose an object of mass m is attached to the end of a spring hanging from the ceiling. The mass is at its equilibrium position y = 0 when the mass hangs at rest. Suppose you push the mass to a...
-
Suppose an object of mass m is attached to the end of a spring hanging from the ceiling. The mass is at its equilibrium position y = 0 when the mass hangs at rest. Suppose you push the mass to a...
-
Suppose an object of mass m is attached to the end of a spring hanging from the ceiling. The mass is at its equilibrium position y = 0 when the mass hangs at rest. Suppose you push the mass to a...
-
Freddie and Jason have just opened the Texas Toothpick, a chain-saw sharpening and repair service located on Elm Street. The Texas Toothpick promises same-week repair service. Freddie and Jason are...
-
Assuming a semiweekly depositor, from the following T accounts, record: (a) The July 3 payment for FICA (OASDI and Medicare) and federal income taxes, (b) The July 31 payment of SUTA tax, and (c) The...
-
What are the benefits of knowing and using design patterns?
-
What advantages are there to using social media sites for informal discovery? How may the information you find help in settling a civil lawsuit?
-
You are considering two independent projects, Project A and Project B. The initial cash outlay associated with Project A is $50,000 and the initial cash outlay associated with Project B is $70,000....
-
Use the following Present and Future Values table for Q1 and Q2. Year 1 Present Value of $1 Future Value of $1 2 3 $0.926 $0.857 $0.794 $1.080 $1.166 $1.260 1. If you receive $3,900 one year from now...
-
Wilmington, Inc., expects to sell 25,000 miniature surfboards for $12 each. Direct materials costs are $4, direct manufacturing labor is $6, and manufacturing overhead is $0.88 per miniature...
-
Find an expression for the initial velocity.
-
A forced harmonic oscillator with a circular frequency = 6.283 s 1 (frequency = 1.000 s 1 ) is exposed to an external force F 0 sin (t) with circular frequency = 7.540 s 1 such that in the...
-
Suhami Chadhuri has a two-fifths interest in a partnership. She sold five-sixths of her interest for $3000. (a) What was the total amount of Ms. Chadhuris interest before selling? (b) What is the...
-
In a complex conglomerate such as General Electric that owns a large number of different businesses, a(n) ____________ level strategy sets strategic direction for a strategic business unit. (a)...
-
The first step in Hamels wheel of innovation is ____________. (a) imagining (b) assessing (c) experimenting (d) scaling
-
When a member of a cross-cultural team is hesitant to speak up and offer ideas, defers to the team leader, and avoids accepting praise for individual work, the person is displaying characteristics...
-
Who and/or what should be considered as key stakeholders by a business executive when mapping the task environment for her organization?
-
The ideal situation in a hierarchy of objectives is that lower-level plans become the__________ for accomplishing higher-level plans. (a) means (b) ends (c) scenarios (d) benchmarks
-
Multimedia services have two components of video and voice data. Can you characterize them as non-real-time and real-time traffic? Explain clearly.
-
When an electric field is applied to a shallow bath of vegetable oil, why do tiny bits of thread floating in the oil align with the field like compasses in a magnetic field?
-
Answer the same question as Problem 10.32 considering 36- to 45-year-old males only? Mental Health A study was performed in Lebanon looking at the effect of widowhood on mortality [14]. Each of 151...
-
Implement the test in Problem 10.34, and report a p-value? Mental Health A study was performed in Lebanon looking at the effect of widowhood on mortality [14]. Each of 151 widowers and 544 widows...
-
Based on all matched pairs, how much power did the study just mentioned have vs. the alternative hypothesis that a widower is twice as likely to die before a married person of the same age and...
-
A small object with a charge of q = 10.0 C travels from the origin to the point (x, y) = (20.0 cm, 50.0 cm) in the presence of a uniform electric field E = 2401 V/m. Determine the following. (a) the...
-
You have a battery marked "6.00 V." When you draw a current of 0.213 A from it, the potential difference between its terminals is 5.09 V. What is the potential difference AV when you draw 0.551 A? AV...
-
An elevator, initially at rest, starts moving upwards at constant acceleration and eventually reaches speed 8.24 m/s at time t= 6.26 s. It travels at constant speed until time t= 24.36 s. The...
Study smarter with the SolutionInn App