A particle of mass m is at rest at the end of the spring (force constant k) hanging from a fixed support. At t=0, a constant downward force F is applied to the mass and acts for a time to. Show that after the force is removed, the displacement of the mass from its equilibrium position (x=xo, where x is down) is F x-x, =[cos @,(t-t,)-cos@̟t] k where w = k/m.

A particle of mass m is at rest at the end of the spring (force constant k) hanging from a fixed support. At t=0, a constant downward force F is applied to the mass and acts for a time to. Show that after the force is removed, the displacement of the mass from its equilibrium position (x=xo, where x is down) is F x-x, =[cos @,(t-t,)-cos@̟t] k where w = k/m.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Q2) Draw the free-body diagram and derive the equation of motion using Newton s second law of motion for each of the systems shown in Figs. 4r Pulley, mass moment of inertia Jo m x(t)
Find the minimum weight of block A in order for motion to be impending down the plane (to the left). Assume the pulley to be frictionless. Given:WB = 180 lbs, θ = 40 °, μ = 0.2 for all surfaces.
By determining the equivalent spring constant of the mass spring system given in the figure, we calculate the equation of motion undamped. write for the situation.
The shaft, bearing two unbalanced masses, rotates at a constant speed of ω = 20 r/s. In the case of balancing in the DI and DII planes, find the balancing values (kg.mm) and their positions.
find the equations of motion using the lagrange equations of motion. The main rod has length l and mass m, the left spring has spring constant k and right spring has spring constant 2k
Q2) Consider a mass (m=5 kg) connected to a massless rod of length (L=2 m) to swing about point O, as shown in Figure (2). The mass is also connected to a spring of spring constant (k=10 N/m). The other end of the spring is connected to a pivot. The unstretched length of the spring is 1 m. Find the equation of motion of the L-2 m system. m-5 kg 3 m k=10 N/m
A cart is moving in a track which is shown in the bellow picture(both friction and rotation is not acting on this cart) v = 0 50 m 50 m 40 m 20 m (1)Draw an energy diagram as the cart moves on the track (kinetic energy, potential energy, and the total energy lines are required) (2)Label the points where the cart is in stable equilibrium, unstable equilibrium, and any turning points (3)Find the Maximum and Minimum speed.
A mechanical system consists of a ("long") rigid rod of length d and mass M, and another ("short") rigid rod of length I and mass m. The rods are attached at a fixed 90° angle such that the endpoint of the long rod touches the middle of the short rod; see the figure below. The mass per unit length of the rods is constant. The system can move in a vertical plane (x, y) with the endpoint O of the long rod fixed, so that the system is free to oscillate in the vertical plane about the point O. Gravity acts along the vertical y direction. 0 d a) How many degrees of freedom does the system have? [Expect to use a line to answer this question.] â b) Calculate the moment of inertia of the system constituted by the rods about an axis orthog- onal to the plane (x, y) and passing through O. Assume that the widths of the rods are negligible, so that you can effectively treat them as one-dimensional objects. [Expect to use about half a page to answer this question.] c) Determine the distance of the…
See Image
H4.
If a wooden block of weight W = 9.7 N placed on a smooth surface inclined at .2 %3D 大 an angle 35 and is at rest, then the reaction (F) offered by the surface is 35° - 5.6 N O ON
i need the answer quickly