ZuoTi.Pro
Question

2. A force of the form F(x) --x+x2/9 is applied to a particle with mass m-1kg. (a) Find the equilibrium points. (b) Determine the stability of these points.

engineering   Mechanical-Engineering   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

SOLUTION:

0 0
Add a comment
Know the answer?
Add Answer to:
2. A force of the form F(x) --x+x2/9 is applied to a particle with mass m-1kg....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Consider a particle with a mass m subject to a force F(x) = ax - bx3...

    Consider a particle with a mass m subject to a force F(x) = ax - bx3 where x is the displacement of the origin of the reference system and a and b are positive constants. a) Find an expression of the particle's total energy. Show that this total energy is constant. b) Find the equilibrium points and determine if they are stable or unstable.

  • A particle of mass m1 accelerates at 4.50 m/s2 when a force F is applied. A...

    A particle of mass m1 accelerates at 4.50 m/s2 when a force F is applied. A second particle of mass m2 experiences an acceleration of only 1.35 m/s2 under the influence of this same force F. (a) What is the ratio of m1 to m2? (b) If the two particles are combined into one particle with mass m1 + m2, what is the acceleration of this particle under the influence of this force F?

  • Rail Given: Particle with mass m = 1kg was initially at A when time t =...

    Rail Given: Particle with mass m = 1kg was initially at A when time t = 0 Trajectory of particle from A to B on the rail is given in terms of polar coordinate system with r = e' and 0 = -1 Spring with a constant k is compressed at A but undeformed at B, which is directly below A Ignore gravity and friction • Unit of r is meter Find • Time at which particle arrives at B...

  • A particle with a mass of 3.00 kg is acted on by a force F, acting in the x-direction

    A particle with a mass of 3.00 kg is acted on by a force F, acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.(a) Impulse of the force (in kg · m/s) (b) final velocity of the particle (in m/s) if it is initially at rest (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of -2.00...

  • The following differential equation is the equation of motion for an ideal spring-mass system with damping and an external force F(t) m. x C. x If m1 = 1kg, c = 5N.s/m, k = 4 N/m F(t) = 2N And x'...

    The following differential equation is the equation of motion for an ideal spring-mass system with damping and an external force F(t) m. x C. x If m1 = 1kg, c = 5N.s/m, k = 4 N/m F(t) = 2N And x'(0)=x(0)=0 Find the solution of this differential equation using Laplace transforms. F(t) 7m The following differential equation is the equation of motion for an ideal spring-mass system with damping and an external force F(t) m. x C. x If m1...

  • A particle of mass m is moving in the potential . 1) Determine the force F(x)...

    A particle of mass m is moving in the potential . 1) Determine the force F(x) acting on the particle. Sketch the force and the potential in a single diagram, as functions of position, with . Find the physical dimension of constant A. 2) Find all equilibria of the particle on the interval . Determine whether these equilibria are stable or not. 3) If the initial position of x0 = a/2, find all possible values of initial velocity for which...

  • 2. A particle of mass m is moving in a plane under a force whose potential energy is given by V(r...

    2. A particle of mass m is moving in a plane under a force whose potential energy is given by V(r) -kin r + cr + gr cos θ with k,c,g positive constants. (a) Write down the force in polar coordinates. (b) Find the positions of equilibrium (1) if c>g and (2) if c<g. (c) By considering the direction of the force near these points, determine whether the equilibrium is stable or not 2. A particle of mass m is...

  • 5. A particle of mass m is subject to the force F-asin(bx). (a) If the maximum...

    5. A particle of mass m is subject to the force F-asin(bx). (a) If the maximum value of the corresponding potential energy is g, what are the turning points for a particle of energy E ,? (b) Find the speed of the particle as a function of position, if the paosition of the partide as a function of time

  • The force acting on a particle constrained to move in 1-dimension is given by: F= ax(b-...

    The force acting on a particle constrained to move in 1-dimension is given by: F= ax(b- cx?) [a= 3.25, b=2.05, c=7.33] Find the three equilibrium points, and enter them left-to-right in order of ascending x-coordinate. Then, label each equilibrium point as "stable" or "unstable". Number Number Number Equilibrium Points: Stability: stable unstable

  • Q2)) A particle of mass m is under the action of a force given by :...

    Q2)) A particle of mass m is under the action of a force given by : F = F + Cx; where F, and C are positive constants. If the particle starts motion from rest at x = 0; a) Is this force is conservative or not? and why? b) Find the change in its kinetic energy. c) Find the velocity of the particle as a function of distant x.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT