# Differential Equations

Consider the spring - mass system, shown in Figure 4.2.4. consisting of two unit masses suspended from springs with spring constants 3 and 2, respectively. Assume that there is no damping in the system. Show that the displacements u1, and u2 of the masses from their respective equilibrium positions satisfy the equations (Using newton's second law) Solve the first of Eqs. (i) for u2 and substitute into the second equation, thereby obtaining the following fourth order equation for u1. Find the general solution of Eq. (ii).

1. 👍 0
2. 👎 0
3. 👁 259

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

Two massless springs (S1 and S2) are arranged such that one hangs vertically downward and the other is vertically upward, as shown in figure (a). When a 0.275-kg mass is suspended from S1, it stretches by an amount Δx1 = 0.062 m,

asked by Anonymous on October 23, 2014
2. ### physics

Two masses are suspended from a pulley as shown in the figure below (the Atwood machine). The pulley itself has a mass of 0.20 kg, a radius of 0.15 m, and a constant torque of 0.35 m·N due to the friction between the rotating

asked by lissa on January 9, 2011
3. ### physics

Two masses are suspended from a pulley as shown in the figure below (the Atwood machine). The pulley itself has a mass of 0.20 kg, a radius of 0.15 m, and a constant torque of 0.35 m·N due to the friction between the rotating

4. ### physics

Two masses are suspended from a pulley as shown in the figure below (the Atwood machine). The pulley itself has a mass of 0.20 kg, a radius of 0.15 m, and a constant torque of 0.35 m·N due to the friction between the rotating

asked by melissa on January 9, 2011
5. ### Physics

Two masses are suspended from a pulley as shown in the figure . The pulley itself has a mass of 0.30 kg, a radius of 0.20 m, and a constant torque of 0.30 m \cdot N due to the friction between the rotating pulley and its axle.

asked by Stacy on November 28, 2010
6. ### Physics

Two masses are suspended from a pulley as shown in the figure . The pulley itself has a mass of 0.30 kg, a radius of 0.20 m, and a constant torque of 0.30 m \cdot N due to the friction between the rotating pulley and its axle.

asked by Garry on November 28, 2010
7. ### Physics

A body of mass m is suspended from a spring with spring constant k and the spring is stretched 0.1. If two identical bodies of mass m/2 are suspended from a spring with the same spring constant k, how much will the spring stretch?

asked by Justin on March 12, 2015
8. ### Physics

three masses are suspended from a meter stick as shown. How much mass must be suspended on the right side for the system to be in equilibrium?

asked by Faith on July 4, 2011
9. ### physics

A block of mass m1 = 2.4 kg initially moving to the right with a speed of 3.3 m/s on a frictionless, horizontal track collides with a spring attached to a second block of mass m2 = 4.1 kg initially moving to the left with a speed

asked by Leticia on October 14, 2013
10. ### physics

Two objects of masses m1 = 0.58 kg and m2 = 0.92 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 300 N/m is placed between them as in figure (a) shown below. Neglect the mass of the

asked by sherry on March 8, 2016

More Similar Questions