Question

mass weighing W pounds stretches a spring 7 foot and stretches a different spring foot. The two springs are attached in series and the mass is then attached to the double spring as shown in the figure below. (a) A rigid suppont that the motion is free and that there is no damping force present. Determine the equation of motion if the mass is initially released at a point 1 foot below the equlbrium postion with a downward velocity of tsUsegfor the acceleraton due to gravty.) x(t) - (b) Show that the maximum speed of the mass is v3g+ To compute the maximum speed of the mass we compute x(t) Assume that the motion is free and that there is no damping force present. Determine the equation of motion if the mass is initially released at a 1 foot below the equilibrium position with a downward point velocity of t/s. (Use g for the acceleration due to gravity,.) p x(t)- (b) Show that the maximum speed of the mass is 2 To compute the maximum speed of the mass we compute Aplying the tig identity a sne)+ b cosBsinrcat) we find masimum speed is given by 2to xe) we find maximum speed is given by b2 Need Help? (a) Show that the current (t) in an LRC-series circuit satisfies where ETt) denotes the derivative of E(t). This answer has not been graded yet (b) Two initial conditions (0) and tO) can be specified for the DE in part (a). If ito)-o and qto) - or what is rrO)? (Let E(O) -E) to)- Need Help? Tsik to Tuter 6. -1 points ZMD EO9 5 R.026 Notes O Asit Your Suppose the mass m on a flat, dry, frictionless surface is attached to two springs as shown the figure below rigid support rigid support determine a differential equation for the displacement x(e) of the freely sliding mass. (Let -k x be the force to the left with constant k, and -kyx be the force to the left due to the compression x of the spring with constant Kg- Use xpp for If the spring constants are k, and Ky, x(t) and xp for xTo).) Need Help? R Tsls to Titer

Answer 1

ศา By Neuohan 's seeend taw of mohon ト= ma S o So, P p