A spring-mass system with mass 2kg is displaced 0.6m from its equilibrium position with the spring exerting a force of 0.6N. A viscous force of 3N slows the system when the mass moves with a velocity of 1.5 m/s. If the mass is subjected to two external forces F1= 2cost and F2= 4sint. a. write the second order ordinary differential equation describing the motion of the mass at any time t.

A spring-mass system with mass 2kg is displaced 0.6m from its equilibrium position with the spring exerting a force of 0.6N. A viscous force of 3N slows the system when the mass moves with a velocity of 1.5 m/s. If the mass is subjected to two external forces F1= 2cost and F2= 4sint. a. write the second order ordinary differential equation describing the motion of the mass at any time t.

Similar questions

Some physics students are studying periodic motion using an oscillating mass on a spring. After collecting data, they sketched the position versus time graph shown. If the spring constant is 5.84N/m, then what is the mass, in kilograms?
Two blocks of masses m, = 4.0 kg and mg = 8.0 kg are connected with a string that passes over a very light pulley (Figure 1). Friction in the pulley can be ignored. Block 1 is resting on a rough table and block 2 is hanging over the edge. The coefficient of friction between the block 1 and the table is 0.70 (assume static and kinetic friction have the same value). Block 1 is also connected to a spring with a constant 300 N/m. In the initial state, the spring is relaxed as a person is holding block 2, but the string is still taut. When block 2 is released, it moves down for a distanced until it stops (the final state). Figure 1 of 1
There is a block loaded with two 0.5 kg masses and is pulled at constant velocity across the table but with an applied force that is parallel to the surface of the table. theta = 0 because the force is of the same diraction as the displacement. What are the magnitudes of the following forces: Fg FN Ff
вкл M 5.0. show all your steps and write your final answers in a sentence. Please use g = 9.80 for each of these questions to increase precision. Therefore all answers will have 3 significant digits. A fisher pulls a sled of fish along a flat horizontal surface. They are travelling forward at a constant velocity. The sled and the fish have a combined mass of 32.4 kg. These sled and the fish can be treated as one object for the problem. There are four forces acting on the sled of fish: There is a force of gravity [down]. There is a normal force [up]. There is a force of kinetic friction [backwards]. The fisher pulls with an angled forward force of 43.2 N [33.6 degrees above the horizontal]. Calculate the coefficient of kinetic friction between the sled and the ground. Hint: constant velocity means that the net force is zero.
A narrow uniform rod has length 2a. The linear mass density of the rod is p. so the mass m of a length of the rod is pl. Part A A point mass is located a perpendicular distance from the center of the rod. Calculate the magnitude of the force that the rod exerts on the point mass. (Hint: Let the rod be along the y-axis with the center of the rod at the origin, and divide the rod into infinitesimal segments that have length dy and that are located at coordinate y. The mass of the segment is dm = pdy. Write expressions for the I- and y-components of the force on the point mass, and integrate from a toa to find the components of the total force). Express your answer in terms of the gravitational constant G and some or all of the variables m, p, a, and r. IVE ΑΣΦ ? a xa Xb √x xx x b IXI F= Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining The correct answer does not depend on: la Part B n(n+1)2 + n(n−1)(n−2) 1+nz+ T³ +... (|1| < 1).) What does your result…
d and e please
The object shown in (Figure 1) is in equilibrium. Suppose |FO| = 10 N. Figure Fo 2.0 m Massless F₁ 1.0 m < F₂ 1 of 1 Part A What is the magnitude of F₁? Express your answer with the appropriate units. Submit |F₁| Value N You have already submitted this answer. Enter a new answer. No credit lost. Try again. Part B CHμA |F₂| = What is the magnitude of F2? Express your answer with the appropriate units. Submit Previous Answers Request Answer Provide Feedback μA Value Request Answer ? Units ?