A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of the spring

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1) A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 8 m/s. Find the equation of motion.

x(t)=? m

2) Find the charge on the capacitor and the current in an LC-series circuit when L = 0.1 h, C = 0.1 f, E(t) = 100 sin(γt) V, q(0) = 0 C, and i(0) = 0 A

q(t)= ?

i(t)= ?

3) Find the steady state current i_p(t) in an LRC-series circuit when L = 1/2 h, R= 20 ohms, C= 0.001 f and E(t) = 400sin(60t)+500cos(40t) V

i_p(t)= ?

Expert Solution

Colby Messinger answered 1 year ago

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